Multicriteria Choice Research Articles

Information System for the Selection of Hydropneumatic Capacitive Vessels

This article describes an algorithm for the automatic selection of hydropneumatic capacitive vessels used for household and industrial purposes. The suggested informational system makes it possible to reduce the working time spent on the selection of equipment and increase the relevance of the analyzed information. The article discusses a detailed description of the design of pneumohydroaccumulators, as well as provides examples of calculations of their main characteristics. The main task we needed to solve was a multi-criteria choice, and the article provides an overview of methods for solving this problem. In addition to these methods, we analyzed information systems that allow one to select suitable equipment among various alternatives. Based on the analysis of methods and similar software solutions, the authors suggested an information system and an algorithm for automatic selection of hydraulic accumulators by searching for options that meet the parameters specified by the system user. Also, the article discusses the process of purchasing capacitive equipment. There was demonstrated a logical model of the database structure storing the technical characteristics of the equipment which reflects objects of the information system and their connections. In this article we presented and argued the software for development of a specified information system. The development of the information system was based on the "1С platform: The enterprise". The task of selecting hydropneumatic capacitive vessels was solved by a request that can be interacted with through a report in the information system. This report allows the user to search for equipment by quantitative and qualitative characteristics: volume, operating pressure, vessel material, flange material, installation type (vertical or horizontal), availability of legs, cost, manufacturer or supplier. The report options allow users to search for equipment both in accordance with the specified parameters and with a deviation from them but only if the parameter is quantitative. The results of the report are ordered by relevance to the criteria specified by the user. The operation of the report query aggregating data was reflected in the flowchart. The article presents a situation where the user solves the selection problem by using capabilities of the report. The problem of multi-criteria selection was formulated in a way to demonstrate how a clear parameter of the report becomes fuzzy, and our solution of it allows you to find more alternative options with sorting by relevance helping you to identify the most suitable pneumohydroaccumulator. This software package was registered in the state registry of computer programs.

Formation of the Vector of Strategic Development of the Organization in Conditions of Risk and Uncertainty

Relevance. Close attention is paid to the issues of long-term development of economic entities. Obtaining results in a strategic perspective depends on the correctly chosen vector of the organization's movement in an unstable external environment, risk and uncertainty. In this regard, the problem of forming the vector of the organization's strategic development under conditions of risk and uncertainty requires its solution from a scientific and practical point of view, which confirms the relevance of conducting research on this topic. The purpose of the study is to substantiate the relevance of the stated topic and develop scientific and practical recommendations for the formation of the vector of strategic development of a particular organization (on the example of the organization of the tourism industry) under conditions of risk and uncertainty. Objectives: The tasks are defined by the subject of the study and involve substantiation of the relevance of forming the vector of strategic development of the organization under risk and uncertainty, conducting a strategic analysis of the industry and the external environment of the organization, identifying and assessing the risks of developing an economic entity, identifying and choosing strategic alternatives for the development of the organization in the context of forming the vector of strategic development of the organization in conditions of risk and uncertainty. Methodology. The research methodology involves the use of methods of empirical, statistical and comparative analysis, as well as methods of multi-criteria choice, game theory. Results: the relevance of the formation of the vector of strategic development of the organization under the conditions of risk and uncertainty is substantiated; a strategic analysis of the industry and the external environment of the organization was carried out; the risks of development of an economic entity were identified and assessed; a strategic alternative for the development of the organization was identified and selected in the context of the formation of the vector of strategic development of the organization under risk and uncertainty. Conclusions. The study substantiates the relevance of forming the vector of strategic development of a particular organization (on the example of the organization of the tourism industry) under conditions of risk and uncertainty, developed specific scientific and practical recommendations.

A model for forecasting the volume of the entertainment services market under non-determinative conditions

The subject matter of the article is the theoretical-methodical and applied principles of modelling and forecasting indicators of the market volume of entertainment services. The goal of the work is to find a mechanism that will allow determining the volume of subscribers, taking into account exogenous variables, especially during socially unstable situations, such as a pandemic, war, cataclysms, etc. The following tasks are solved in the article: formation of criteria for companies for which the created mechanism is planned to be applied; review of basic autoregression models; determination of factors that should serve as an external influence when predicting the number of subscribers; creation of a multi-criteria choice problem; conducting experiments according to the proposed methodology to test the proposed hypotheses and systematize the obtained results. The following methods are used: analytical and inductive methods for forming factors of external influence and description of target companies; expert evaluation method for determining the most influential external indicators; experimental method, statistical methods of processing time series and methods of multi-criteria evaluation to determine the most effective autoregression model. The following results were obtained: the factors of external influence were formed: As external variables, it was decided to choose: the dynamics of the incidence of coronavirus, the rate of change in the global gross domestic product, the change in the S&P500 index, and the news from the world's largest news agencies converted into numerical form; a set of criteria for comparing models was created, saving forecasting time, accuracy, the possibility of taking into account external influence and the specificity of taking it into account; it was determined that the most accurate model is autoregression of the moving average, which at the same time is the most effective model given the created problem of multi-criteria selection; the similarity of the obtained results of experiments with global and domestic research is established. Conclusions: the use of analytical and inductive methods in combination with an experimental approach made it possible to obtain an effective (with an accuracy of more than 95%) mechanism for forecasting the market volume of companies that operate in the film industry and have a signature pricing model. The obtained result will allow players with a smaller market volume not to lose their audience due to the instability of the external environment, and, accordingly, will stimulate the development of the industry in general.

Application of the fuzzy sets theory in the problem of products competitiveness evaluation

The article considers an example of using the tools of fuzzy sets theory in the problem of studying competitiveness of goods and firms. The competitiveness of goods has been defined through their utility in both subjective and objective manifestations. The transformation of utility indicators value from the simplest scales to the scale of equal relations has been carried out through the graphical membership functions. The general model of multi-criteria choice of optimal alternatives based on the intersection of fuzzy sets has been defined. The construction method and non-dominant alternatives set analysis on the basis of fuzzy preference relation has been considered. The problem of ranking alternatives, that are complex technical devices, considering several comparison criteria, some of which are qualitative, has been assessed by dimensionless scales with expert evaluations. Weighting coefficients have been determined for all criteria, alternatives functions belonging to the subset of optimal and matrices of fuzzy preference relations constructed, and a subset of non-dominant alternatives formed. The optimal alternative has been determined by the maximum value of subset elements. Calculation results can be used for further informed decision making in the absence of clear numerical data and presence of weakly formalized expert statements. Thus, the effectiveness and practicality of applying fuzzy sets methodology in ranking problems and optimal choice of alternatives has been shown.

Формирование индивидуальной траектории онлайн-обучения на основе кластерного анализа

Justification for the relevance of developing an individual learning path in the field of online learning. The problems of forming an individual learning trajectory are analyzed. The main problem of personalization of learning from the point of view of the student is highlighted – the difficulty in finding the most appropriate sequence of studying educational objects that best suit their skills and preferences. It is concluded that the existing practices and methods of organizing a personalized educational process of courses in online learning are focused on the statistical characteristics of students that do not change during the study of an online course. Therefore, there is a need to develop a methodology for the formation of an individual learning path. The proposed approach allows us to consider the formation of recommendations as a dynamic process. An algorithm for the formation of an individual learning trajectory has been developed, which consists of a multi-criteria choice of a sequence of online courses at each moment of decision-making according to a given set of criteria and sequential mastering of skills. The choice of online courses is carried out using the cluster analysis method – k-means. Groups of clusters that meet the criteria of online courses have been identified. Each cluster consists of the closest objects – online courses. Based on these results, a sequential selection of online courses is made, using the available information about the user»s requirements and the skills that the learner needs to acquire. The purpose of developing for the formation of an individual learning trajectory is to provide students with the most appropriate sequence of learning objects in accordance with their skills and preferences.

Choosing a Scenario for Improving the Sustainability of Supply Chains in Construction

Purpose: The aim of this study is to examine acceptable methods for choosing directions for increasing the sustainability of supply chains in construction. The study also determinate the factors affecting the sustainability of supply chains in construction Theoretical framework: Supply chain integration in many industries is based on integrated enterprise resource and relationship processing systems (ERP), but the construction industry has traditionally lagged behind in these processes. The need to create effective relationships in supply chains and increase the resilience of supply chains in construction has become evident in the context of the pandemic. However, the weak formalization of these processes in construction has led to the need to find acceptable methods for choosing directions for increasing the sustainability of supply chains in this industry. Methodology: This is a descriptive-based study. Approaches to factors of the supply chain stability were researched and systemized and from this the situations for the increasing stability of the supply chains are determinated. The choice of a model of the increasing stability of the supply chains was determined by the analytic hierarchy process. Hierarchy analysis was used as a method for selecting a scenario for increasing the sustainability of supply chains in construction. Findings: The results of the research carried out to conduct a multi-criteria choice using the opinions of experts in the construction industry. The choice of scenarios for increasing sustainability is due to the fact that the introduction of adaptive information technologies allows to take into account all groups of selected factors, while ensuring synchronization of production planning, product shipment and inventory management, increasing market feedback, ensuring that production volumes correspond to product demand, as well as reducing logistics costs and the price of products for the end customer. Research, Practical & Social Implication: The study contributes to a better understanding crucial factors of the sustainability of supply chains in construction. The processes of analyzing and evaluating factors contribute to improving the sustainability of supply chains in construction, by focusing on critical factors, adopting them according to the requirements of the construction. Originality/value: Based on the presented results, concluded that the scenario formation of increasing sustainability of the sustainability of supply chains by the introduction of adaptive information technologies allows to take into account all groups of selected factors, while ensuring synchronization of production planning, product shipment and inventory management, increasing market feedback, ensuring that production volumes correspond to product demand, as well as reducing logistics costs and the price of products for the end customer.

Narrowing the Pareto set on the basis of fuzzy information about the ratio of ODA preferences

A multi-criteria choice model is considered, which includes a set of possible options, a numerical vector criterion and a fuzzy binary preference relation of the decision-maker person (DPR). The task of multi-criteria selection is to choose one or more "best" options from the Pareto set, that is, to narrow this set taking into account the information about the preference ratio of the DPR. Narrowing is carried out according to the axiomatic approach. The paper considers the algorithm for narrowing the Pareto set based on an arbitrary finite set of "quanta" of fuzzy information about the preference ratio of the DPR. Accordingly, an algorithm is proposed that allows, on the basis of an arbitrary set of clear information, to construct an estimate from above for an unknown set of options to be chosen, that is, to narrow the Pareto set. The purpose of this paper is to extend this algorithm to the case of a fuzzy preference relation, where the DPR assigns different degrees of certainty to its reasoning. In the fuzzy case under consideration, the set of options to be chosen and the top estimate constructed for it are also fuzzy. In the first section of the article, the statement of the problem of multi-criteria selection is presented and the basic axioms are formulated. The second chapter is devoted to the description of the reduction of this task to the geometric problem of constructing a fuzzy double cone. In the third section, a generalization of the algorithm is given, which makes it possible to construct the generators of a fuzzy double cone. Based on these constituents, a new vector criterion is constructed, the Pareto set with respect to which is the desired narrowing of the original Pareto set. An illustrative example is considered in the fourth chapter.

Evaluation of Employee performance management using VIKOR Method

An effective performance management strategy motivates actions to support big picture goals and improve employee performance. Outline expectations and goals Create, provide feedback, evaluate results, and develop growth opportunities Leaders can use the Create process. Employee productivity is as the amount of work (or output) performed by an employee over a period of time is defined. As a manager, give your teammates their best Empower yourself to help you get the job done has You also have a responsibility. Employee three ways to measure From this analysis the VIKOR technique determines the maximum correct The solution with the shortest distance and the longest distance from solution A worst-case-good solution, however, is variation these distances is not taken into account. The VIKOR approach is a multi-criteria choice (MCDM) or multicriteria choice evaluation technique. Alternative: Communication skills, technical skills, analytical skills, creative skills. Assessment Option: With colleagues Communication, emphasis on friendship, openness with co-workers and other employees Respect and provide an environment conducive to expressing opinions, Density-based method. It is solved by using the VIKOR method. It is the data set of this paper. The result it is seen that Emphasis on friendship is got the first rank where as is the Respect for other employees is having the lowest rank. In this paper Emphasis on friendship is got the first rank whereas is the Respect for other employees is having the lowest rank.

A stochastic method for exploiting outranking relations in multicriteria choice problems

A stochastic method for exploiting outranking relations in multicriteria choice problems

Method of Structural-Parametric Synthesis of Configuration Multi-Mode Object

The complexity of modern objects with a reconfigurable structure leads to the need to take into account various factors of their interaction with the environment and is associated with an increase in the number of their constituent elements and subsystems, as well as, accordingly, a rapid increase in the number of internal connections, and manifests itself in such aspects as structural complexity, complexity of functioning, complexity of choice of behavior, complexity of modeling and complexity of development. These systems operate in conditions of significant uncertainty associated with a change in the content of the goals and objectives facing the object, the impact of disturbing factors from the external environment and having a targeted and / or non-targeted character. These aspects of the complexity of the system are associated not only with the uncertain effects of the external environment, but also with many different modes (types) of functioning, corresponding to the multiplicity of tasks being solved and the multiplicity of indicators of the quality of their solution. As a rule, systems with a fixed structure, usually tuned to a steady (some given) mode, do not provide the best control quality in other modes. Therefore, the multi-mode and uncertainty of the operating conditions necessitate solving the problem of analysis and synthesis of the configuration and reconfiguration of the objects under consideration, based on intelligent approaches. At the same time, at the stages of creating and designing objects with a tunable structure, such interconnected sets of modes of operation and structures should be synthesized, and, possibly, such a level of redundancy should be introduced into these sets, taking into account space-time, technical and technological restrictions, under which at the stage of their application for the intended purpose, it would be possible to respond flexibly to all design and off-design contingencies that cause structural changes in the object. From a formal point of view, the solution to these problems is possible within the framework of such an important class of modern scientific and technical problems as the problems of multi-criteria structural-functional synthesis of configurations of multi-mode objects at various stages of their life cycle. This article presents a method for solving these problems, based on the concept of the parametric genome of complex multi-mode objects proposed by the authors. The application of this concept makes it possible to store in a concentrated form the explicit and implicit knowledge of experts about the interaction of elements and subsystems of an object when performing various combinations of the implementation of operating modes, as well as to quickly calculate optimistic and pessimistic estimates of indicators of structural and functional reliability of homogeneous / heterogeneous, monotonous / non-monotonic, equivalent /unequal multi-mode objects. With a multi-criteria choice of the required number of non-dominated variants of configurations of a multi-mode object, evenly distributed in the set of effective (Pareto) alternatives, a combination of the method of interval lexicographic ordering (successive concessions) and an operator decision rule was proposed. At the same time, in order to conduct a detailed analysis of the possibility of implementing an object of joint or separate activation of operating modes with an equivalent or unequal intensity of their use, a fuzzy-possibility representation of a generalized indicator of structural and functional reliability in the form of a trapezoidal number and determining its center of gravity was proposed. The results of applying the developed method of structural-parametric synthesis of configurations of a multi-mode object with a tunable structure are presented on the example of the motion control system of the small spacecraft "Aist-2D".

ON THE CONCEPT OF VECTOR OPTIMIZATION IN THE TASKS OF MULTICRITERIAL CHOICE

Problems of multi-criteria choice with estimates of applicants by a number of local criteria are considered. Known approaches to the solution of such problems use their peculiarities with the allocation of the corresponding classes of problems and a number of assumptions that significantly limit the possibilities of their practical application. This is the use of fixed scales to compare values that do not correspond to real ranges of values, the assumption of linear relationships between quality assessments and decision attributes, the absence of nonlinear relationships between estimates of local criteria and parameter values of solutions from different ranges. The given circumstances can lead to the loss of adequacy of the taken decisions and cause unacceptable consequences. An approach to procedures of multi-criteria optimization based on the content of optimization as a choice of a solution applicant with the best values of the chosen vector criterion within the elements of the admissible solution set is outlined. To find a solution, it is suggested to use a generalized criterion in the form of a scalar product of vectors, one of which contains components of the values of local criteria for the solution pretender, and the other is a virtual vector of the target reference in a given space with the best or predicted values. To compare the applicants, we propose approaches to forming a subset of Pareto optimal solutions as a set of solutions by consistent local criteria, using a series of concessions on the local criteria represented by mathematical models with the allocation of alternatives to change the values of local criterion estimates, allowing the formation of consistent solutions. The results of the analysis allow us to use the proposed approaches to form a subset of effective solutions in the decision support subsystems, providing operational management of dynamic processes of service and production.

Building Resilient Maize Production Systems With Stress-Adapted Varieties: Farmers' Priorities in Western Kenya

Maize cropping systems in Kenya, as is true in many other places in Africa, face multiple biotic and abiotic stressors not least climatic ones. Guided by farmers' priorities, maize breeding programs can contribute to the needed resilience against these changes by developing and mainstreaming new generations of maize varieties adapted to these challenges. Using data from 1,400 farmers and applying a multi-criteria choice analysis, this study reports on smallholder farmers' relative valuation of stress tolerance traits. The results showed that farmers were willing to pay significant premiums for tolerance to drought, striga, low nitrogen (nitrogen use efficiency) and fall army worm infestation, in that order. Large scale incorporation of these traits in legacy varieties as well as new ones, can contribute to enhancing maize system resilience and adaptation to changing growing conditions. For seed systems development, these traits can provide the basis for making strong business cases for the replacement of old varieties with new, stress-adapted ones.

A Novel Scheme for Controller Selection in Software-Defined Internet-of-Things (SD-IoT).

The software-defined networking (SDN) standard decouples the data and control planes. SDN is used in the Internet of Things (IoT) due to its programmability, central view and deployment of innovative protocols, and is known as SD-IoT. However, in SD-IoT, controller selection has never been studied. Controllers control the network and react to dynamic changes in SD-IoT. As sensors communicate frequently with the controller in SD-IoT, there is a degradation in performance with scalability and an increase in flow requests. Hence, the controller performance and selection are critical for SD-IoT. However, one controller’s support for certain functions is high while another’s is poor. There are various SD-IoT controllers, and choosing the best one might be a multi-criteria choice. An analytical network decision making process- (ANDP) based technique is employed here to identify feature-based optimal controllers in SD-IoT. The experimental analysis quantifies the high-weight controller from the feature-based comparison. An ANDP-based feature-based controller selection strategy is suggested, which selects the controller with the best feature set first, before comparing performance. This paper’s main contribution is to evaluate the ANDP for SD-IoT controller selection based on its features and performance validation in the SD-IoT environment. The simulation results suggest that the proposed controller outperforms the controller selected with previous schemes. Choosing an optimal controller in SD-IoT reduces the delay in both normal and heavy traffic scenarios. The suggested controller also increases throughput while using the central processing unit (CPU) efficiently and reduces the recovery latency in case of failures in the network.

Mathematical models of a multi-criteria problem of reengineering topological structures of ecological monitoring networks

The article deals with the theoretical aspects of the problem of reengineering the topological structures of terrestrial ecological monitoring networks. As a result of the analysis of the current state of the problem, it was revealed the need to changethe network of monitoring points, to increaserequirements for the efficiency and accuracy of observations, as well as to do the more advanced technologies for collecting,processing, storing and transmitting information. All this is possible due to reengineering of existing monitoring networks. This requires the improvement of network system optimization technologies and their software in terms oftaking into account the features of the reengineering problem, as well as the mathematical models and methods used for this. To solve the problem of reengineering of terrestrial monitoring networks, an aggregative-decomposition approach is proposed. The approach is divided into a set of tasks considering their interconnections in terms of input and output data. This made it possible to define a set of tasks that form the basis of reengineering procedures. To increase the efficiency of technologies for computer-aided design and reengineering of networks, a set of mathematical models is proposed that covers the main stages of their life cycles. The article discusses: a systemological model of iterative technology for obtaining design solutions; analytical models for evaluating the properties of network reengineering options in terms of efficiency, reliability, survivability and costs; models for identifyingeffective options for network reengineering based on Karlin and Germeier theorems; a model for evaluating the local properties of options in the form of a utility function of local criteria; model of scalar multicriteria estimation of network reengineering options based on utility theory. The utility function makes it possible to implement both linear and non-linear (including Z-andS-shaped) dependencies on their values. For the practical implementation of modelsof multicriteria problems of reengineering of topological structures of networks, it is proposed to use the method of generation of effective design solutions in parallel with the generation and the method of comparator parametric synthesis of the scalar multicriteria estimation function. The performance and efficiencyof the proposed mathematical models and methods are demonstrated by examples of solving the problems of subset selection of Pareto-optimal options for building networks and parametric synthesis of the scalar multicriteria estimation function. The application in practice of the proposed set of models and methods will increase the degree of automation of network reengineering processes, reduce the time for solving the problem of multi-criteria choice due to the reduction in the time complexity of the analysis procedures, and increase the stability of the decisions made by compromising their choice only from a subset of effective ones.

Dual type-2 fuzzy cones and their application in multicriteria choice

Dual type-2 fuzzy cones are defined. Formulae for infimum and supremum of any number of fuzzy grades are derived. These formulae are used to study basic properties of dual type-2 fuzzy cones. It is shown that most properties of type-1 fuzzy cones remain valid. An axiomatic approach to Pareto set reduction is then considered. A method of Pareto set reduction with the use of dual type-2 fuzzy cones is outlined.

Simulation of Hydro-Mechanical Billet Pressing of Fibrous Bimetallic Composites

The simulation of hydro-mechanical billet pressing of bimetallic composite is performed. Using mathematical modeling and simulation exercise, the influence of the main operational parameters, which include: draw-forming, the cone angle of the working die and the conditions of contact friction, on the strain heterogeneity, damage to the fibers (cores), and the extrusion stress, is studied. A method and an expert system were developed that allowed to carry out a computational experiment and a multi-criteria choice of rational values of the technological experiment is carried out. The results of the study are used to improve the industrial production of multi-core bimetallic wires for electrical purposes.

МЕТОДИКА БАГАТОФАКТОРНОСТІ ПОРІВНЯННЯ ПОКАЗНИКІВ ЯКОСТІ РАДІОПОГЛИНАЮЧИХ ФЕРИТОВИХ КОМПОЗИТІВ

The article proposes a graph-analytical method of comparing four arbitrary alternative samples of composite radio-absorbing ferrite coating (CRFС) on sixteen time indicators of their quality, reflecting different aspects of consumer utility of such samples. The main (integrated) quality indicators of composite radio-absorbing ferrite coatings are determined such as: efficiency (level of usefulness in practical application); operational properties; manufacturability of production and application; mechanical strength. The multi-criteria choice task is reduced to single-criteria. Then the implementation of direct comparison of samples CRFС. Specific examples of application of the method of comparing a variant of the composite radio-absorbing ferrite coating OD-RAM of own development, with three other existing in practice radio-absorbing coatings are given. The application of generalized quality indicators of manufactured composites, which are determined by graphs of multiple factors, is proposed. This allows you to find out the problem factors. It is proved that the developed composite radio-absorbing ferrite coatings OD-RAM have a generalized quality index that exceeds the known foreign samples by (30 - 40)%. Further development of the methodology is proposed, which can be implemented for comparative evaluation of options for protection of armaments and military equipment, for comparison of the same type of protective samples of CRFС, in order to select an acceptable set of alternatives. The article contains new data on the practical application of multifactor comparison of manufactured composites on some new indicators of the quality of the composite being developed, according to its electrophysical and electromagnetic parameters. Keywords: radio-absorbing ferrite materials, comparison of coating options, basic quality indicators of composite radio-absorbing coatings, comparative evaluations of options for protection of armaments and military equipment, comparison of the same type of samples.

Implementation of Neutrosophic Bipolar Pentagonal Fuzzy Set on Multi-Criteria Decision-Making Scenario

Several others have already discussed various types of new techniques in multi-criteria decision-making problems. De-fuzzification, De-eutrophication, and De-Bipolarisation all of these are new approaches that have been established. But this work depicts the concept and features of the Neutrosophic Bipolar Pentagonal Fuzzy number. The relationships and products of the picture fuzzy set, as well as their associated results, are investigated. The different kinds of neutrosophic single-typed bipolar pentagonal numbers (nbpnum) were also discussed. A multi-criteria choice is also done in a triangular Bipolar Neutrosophic Fuzzy Set to identify the ideal output depending on several attributes. A multi-criteria choice is also done in a triangular Bipolar Neutrosophic Fuzzy Set to identify the ideal output depending on several attributes.

Structural-parametric synthesis of the model of multi-criteria optimization of the solution of training problems with an aviation multifunctional simulator

The basis for the training of aircraft crews is the solution of a finite set of training tasks modeled using aviation multifunction simulators (AMT). To develop a model of multi-criteria choice of solutions for an individual and the entire set of educational tasks, its structural and parametric synthesis is carried out on the basis of the optimal distribution of AMT hardware and software resource for modeling various factors and conditions of information processes during educational tasks. Their solution is based on the search for optimal options on the set of branching and / or repeating information flows in the form of a set of elementary operations on the set of performance criteria, taking into account the principles and preferences of instructors - decision makers. The choice of a solution is carried out by summarizing single-criteria schemes for solving a particular educational problem using the Bellman principle and building on their basis a model of multi-criteria selection (MVR). The basis of the generalized MVR is the representation of AMT in the form of a directed graph in which the vertices characterize the learning tasks, and the arcs determine the possible solutions to them in the form of a certain set of elementary operations with optimal weight vectors connecting the initial and final vertices. The essence of the model is the sequential combination of the paths of elementary operations taking into account the integrity of the presentation of the educational task and the narrowing of their number through the selection function implemented using the dominance and blocking algorithms in the binary relation, which has the property of transitivity and asymmetry. The choice of a generalized solution is carried out on the basis of Pareto optimal solutions, constructed by extrapolation of expert estimates of decision-makers on a cone of preferences for various situations related to computer computing capabilities. The generalized solution of the MVR substantiation problem is based on the selection of optimal routing routes for elementary operations on the set of multidisciplinary training tasks solved by AMT.

Fuzzy expert system based on the principles of multi-criteria choice of alternatives using fuzzy inference rules

The article presents the results of the development of the expert system software module based on fuzzy logic methods, which allows calculating the most profitable alternative based on a certain evaluation matrix of alternatives and criteria, and certain selection rules. The problem of increasing the efficiency of decision-making of various tasks with the help of a fuzzy expert system is solved. The paper shows the implementation of one of the modules of the expert system using the fuzzy logic apparatus in order to select a journal to publish an article.