Weight Coefficients Of Criteria Research Articles

Selection of a location for the development of multimodal logistics center: Application of single-valued neutrosophic MABAC model

A logistics center (LC) is unique technological, spatial, organizational and economic unity that brings together different providers and users of logistics services. By selecting the optimal LC location, transport costs are reduced and business performance, competitiveness and profitability are improved. In order to achieve the overall optimum, it is necessary to perform adequate evaluation and selection of the optimal location for the construction of a LC. In this paper is performed the evaluation of potential locations based on new approach in the field of logistics. Weight coefficients of criteria are determined using objective model integrated in Single-Valued Neutrosophic (SVNN) Multi-Attributive Border Approximation Area Comparison (MABAC) model. In order to determine the stability of the model, the SVNN MABAC model is compared with other representative multi-criteria models. In the final part of the model validation, statistical correlation between the SVNN MABAC model and other proposed approaches (SVNN WASPAS, SVNN VIKOR, SVNN TOPSIS and SVNN CODAS) is performed.

Multi-criteria FUCOM – Fuzzy MABAC model for the selection of location for construction of single-span bailey bridge

Selecting the most favorable location for construction of single-span Bailey bridge is ideal for applying multi-criteria decision making. In that regard, it has been developed a model for selecting the most favorable location. The first part of the model is based on the full consistency method (FUCOM), and it is used for the evaluation of weight coefficients of criteria. The second part of the model presents the fuzzification of the Multi-Attributive Border Approximation Area Comparison (MABAC) method, which is used in the evaluation of alternatives. Additionally, in the paper are presented basic criteria, based on which the selection is to be made

A New Model for Determining Weight Coefficients of Criteria in MCDM Models: Full Consistency Method (FUCOM)

In this paper, a new multi-criteria problem solving method—the Full Consistency Method (FUCOM)—is proposed. The model implies the definition of two groups of constraints that need to satisfy the optimal values of weight coefficients. The first group of constraints is the condition that the relations of the weight coefficients of criteria should be equal to the comparative priorities of the criteria. The second group of constraints is defined on the basis of the conditions of mathematical transitivity. After defining the constraints and solving the model, in addition to optimal weight values, a deviation from full consistency (DFC) is obtained. The degree of DFC is the deviation value of the obtained weight coefficients from the estimated comparative priorities of the criteria. In addition, DFC is also the reliability confirmation of the obtained weights of criteria. In order to illustrate the proposed model and evaluate its performance, FUCOM was tested on several numerical examples from the literature. The model validation was performed by comparing it with the other subjective models (the Best Worst Method (BWM) and Analytic Hierarchy Process (AHP)), based on the pairwise comparisons of the criteria and the validation of the results by using DFC. The results show that FUCOM provides better results than the BWM and AHP methods, when the relation between consistency and the required number of the comparisons of the criteria are taken into consideration. The main advantages of FUCOM in relation to the existing multi-criteria decision-making (MCDM) methods are as follows: (1) a significantly smaller number of pairwise comparisons (only n − 1), (2) a consistent pairwise comparison of criteria, and (3) the calculation of the reliable values of criteria weight coefficients, which contribute to rational judgment.

Use of the fuzzy AHP-MABAC hybrid model in ranking potential locations for preparing laying-up positions

The paper proposes a hybrid model, FAHP-MABAC. The fuzzyficated Saaty's scale with the AHP method (FAHP) is used for defining the weight coefficients of criteria. The MABAC method is applied in evaluating and ranking the alternatives. This hybrid model is developed in order to support decision making while selecting locations for the preparation of laying-up positions (facilities intended for concealment, protection and maneuvering of military ships).

Selecting Methods of the Weighting Factors of Local Criteria

The paper considers calculation methods of weight coefficients of local criteria for the person to make decision (PMD). Methods can be used by a decision-maker to form the integrated criteria in the form of the additive, multiplicative, minimax, nonlinear or combined convolution of local criteria, different in degree of importance, as well as to carry out a comparative assessment of the studied alternative options on their basis, range these options, and choose the best option among them. The paper classifies the calculation methods of weight coefficients of criteria and distinguishes three groups, namely: methods based on the paired comparison of criteria, methods based on the analytical interrelation of indicators of criteria preference, and methods based on the formalistic approach. Among the methods based on paired comparison of criteria the following ones are distinguished: a classical method of paired comparison of criteria, and methods of paired comparison of criteria based on the fixed, floating, and exponential floating preferences of criteria. The last two methods of criteria comparison are respectively basic for the practical use of both a method of hierarchy analysis and a multiplicative method of hierarchy analysis. The paper considers in detail calculation methods of weight coefficients of criteria using analytical dependences of interrelation between the indicators of criteria importance based on an arithmetic and geometrical progression. The considered formal methods include the method of consecutive comparison of criteria known as a Cherchmen's method – Akoffa, method and a method of basic criterion. It is shown that when using methods of paired comparison of criteria or methods based on the interrelation of weight coefficients of criteria obeyed to an analytical or geometrical progression with the strictly ranging criteria K K K ......K K 1 2 3 n-1 n , a difference in weight coefficients of the most important and least important criteria is strictly the fixed number of times  which depends on the used method and the number of the considered criteria n . So when using a classical method of paired comparison of criteria and a method based on the use of an arithmetic progression,   n, and when using a geometrical progression,   n , and it sharply increases with growing n. To eliminate noted shortcomings in considered calculation methods of weight coefficients of criteria, methods of the adjusted assessment of criteria preference are developed and offered for a practical use: a method of paired comparison on the basis of the adjusted fixed preference of criteria; a method on the basis of the adjusted decreasing arithmetic progression, and a method on the basis of the adjusted decreasing geometrical progression. The offered methods allow a decision-maker in case of strictly ranging criteria, as basic data, to set both the number of criteria, and the value - coefficient of superiority of the most important criterion in comparison with the least important criterion and have a pronounced practical focus.

The selection of transport and handling resources in logistics centers using Multi-Attributive Border Approximation area Comparison (MABAC)

This paper presents the application of the new DEMATEL–MABAC model in the process of making investment decisions on the acquisition of manipulative transport (Forklifts) in logistics centers. The DEMATEL method was used to obtain the weight coefficients of criteria, on the basis of which the alternatives were evaluated. The selection of criteria for evaluating Forklifts was based on an analysis of available literature. The evaluation and selection of Forklifts was carried out using a new multi-criteria method – the MABAC (Multi-Attributive Border Approximation area Comparison) method. This paper presents a practical application and a sensitivity analysis of the MABAC method. The sensitivity analysis was conducted in three stages. In the first stage, a stability analysis was carried out on the solution reached by the MABAC method, depending on changes made to the weights of the criteria. In the second and third stages, a consistency analysis of the results from the MABAC method was carried out depending on both the changes in the measurement units in which the values of individual criteria are presented and on the formulation of the criteria. The SAW, COPRAS, TOPSIS, MOORA and VIKOR methods were tested under the same conditions. Based on the results obtained, it was shown that the SAW, COPRAS, TOPSIS, MOORA and VIKOR methods do not meet one or more of the conditions set, while the MABAC method showed stability (consistency) in its solutions. Through the research presented in this paper, it is shown that the new MABAC method of multi-criteria decision-making is a useful and reliable tool for rational decision-making.

Application of a fuzzy set theory for supplier’s selection

The paper gives information on methods of supplier’s selection assessment based on the fuzzy set theory. The decision-making algorithm is presented. The concrete example is cited concerning cement supplier’s selection for one of the construction enterprises in Penza when producing reinforced concrete. The supplier’s criteria were price, quality of supplied raw materials, available free space for power increase and reliability. For estimating the weight coefficient values, matrix of pairwise criteria comparisons was formulated. Matrix of multiplicative quantitative assessments was made. A set of optimal alternatives taking into account the weight of various quality criteria was determined using the weighted intersection of fuzzy sets. The weight coefficients of criteria were determined based on calculated values of the right eigenvector matrix of pairwise comparisons with further multiplying by the number of criteria. The calculation results of the weight coefficients of supplier’s criteria are presented.

A multi-criteria evaluation method for climate change mitigation policy instruments

This paper presents an integrated multi-criteria analysis method for the quantitative evaluation of climate change mitigation policy instruments. The method consists of: (i) a set of criteria supported by sub-criteria, all of which describe the complex framework under which these instruments are selected by policy makers and implemented, (ii) an Analytical Hierarchy Process (AHP) process for defining weight coefficients for criteria and sub-criteria according to the preferences of three stakeholders groups and (iii) a Multi-Attribute Theory (MAUT)/Simple Multi-Attribute Ranking Technique (SMART) process for assigning grades to each instrument that is evaluated for its performance under a specific sub-criterion. Arguments for the selected combination of these standard methods and definitions for criteria/sub-criteria are quoted. Consistency and robustness tests are performed. The functionality of the proposed method is tested by assessing the aggregate performances of the EU emission trading scheme at Denmark, Germany, Greece, Italy, Netherlands, Portugal, Sweden and United Kingdom. Conclusions are discussed.