Fuzzy Judgment Matrix Research Articles

Fuzzy Judgment Matrix Application of Index Weight Ratio in Evaluation System

Fuzzy Judgment Matrix Application of Index Weight Ratio in Evaluation System

Risk Assessment of Power Transformer Based on FTA, FAHP and GA

The reliability of power transformer is very important to the safe operation of the power system. So a new method for power transformer risk assessment based on FTA, FAHP and GA is proposed. The method firstly establishes the power transformer fault tree; Secondly, it analyzes the fault tree through Fuzzy Analytic Hierarchy Process and constructs the fuzzy judgment matrix on transformer fault factors; Finally, it changes the question of solving the weight coefficients of each factor into a mathematical programming problem, and uses Genetic Algorithms to get the result so as to obtain the transformer reliability. In addition, the application result shows the effectiveness of the method above.

Application of Improved FAHP for Nuclear Reactor Accident Emergency Decision

Emergency decision making during nuclear reactor accidents is a complex decision-process. The decision must take many factors into account, including many uncertain factors. Fuzzy analytic hierarchy process (FAHP) takes into account of qualitative factors and quantitative factors,which makes the decision more reasonable and scientific. In this paper, fuzzy mathematics is exploited to enlarge analytic hierarchy process (AHP) to the fuzzy condition. The maximum membership degree of each scheme is calculated through the establishment of fuzzy complementary judgment matrix, thus the optimal scheme is obtained. It shows that the fuzziness of evaluation index in the nuclear accidents emergency decision scheme selection process can be effectively solved by AHP so as to improve efficiency of emergency decision scheme optimization process and the accuracy of the results. CLC number: V22;O159 Document id code: A

Group Evidential Reasoning Approach for MADA under Fuzziness and Uncertainties

Abstract Multiple attribute decision analysis (MADA) problems often include both qualitative and quantitative attributes which may be either precise or inaccurate. The evidential reasoning (ER) approach is one of reliable and rational methods for dealing with MADA problems and can generate aggregated assessments from a variety of attributes. In many real world decision situations, accurate assessments are difficult to provide such as in group decision situations. Extensive research in dealing with imprecise or uncertain belief structures has been conducted on the basis of the ER approach, such as interval belief degrees, interval weights and interval uncertainty. In this paper, the weights of attributes and utilities of evaluation grades are considered to be fuzzy numbers for the ER approach. Fuzzy analytic hierarchy process (FAHP) is used for generating triangular fuzzy weights for attributes from a triangular fuzzy judgment matrix provided by an expert. The weighted arithmetic mean method is proposed to...

A Multiple Criteria Decision Method for Selecting Maritime Search & Rescue Scheme

The evaluation and selection of Search And Rescue (SAR) schemes is one of the most important decision issues for maritime SAR. Owing to vague concept frequently represented in decision data, a group fuzzy multi-criteria decision-making approach is proposed to solve the SAR scheme optimal selection problem. In the proposed method, the experts’ opinions are described by trapezoidal fuzzy numbers, and the fuzzy Delphi method is adopted to adjust each expert’s opinion to achieve the consensus condition. By using the logarithmic least square method and trapezoidal fuzzy number arithmetic operations to estimate the normalized fuzzy priority weights, Analytic Hierarchy Process (AHP) is presented and consequently the consistency check of fuzzy judgment matrix is avoided. The results of simulation show that the method is flexible and credible and provides references in intelligent SAR decision-making.

Intuitionistic Fuzzy AHP and its Application in Evaluation of Ecological Architecture

In this paper, the definition of additive consistent intuitionistic fuzzy complementary judgement matrix (ACIFCJM) was given; The addition and subtraction algorithms of intuitionistic fuzzy value representing the relative importance degree in the matrix were given, then the definition of the scale transition matrix of intuitionistic fuzzy complementary judgement matrix (IFCJM) was given; The additive consistency recursive iterative adjustment algorithm about the IFCJM was given, then priority vectors formula of IFCJM was introduced; At last, the steps of intuitionistic fuzzy analytic hierarchy process (IFAHP) were introduced, then the method was applied in actual examples, and its effectiveness was verified.

Synthesizing Different Preference Information by Fuzzy Programming Method

Group decision making problems with different forms of preference information are discussed. Firstly, four forms of preference information ( i.e. preference ordering, utility value, AHP judgment matrix and fuzzy judgment matrix) are introduced and the computing formulas are given to transform different forms of preference information into the form of fuzzy judgment matrix. A new method that involves in different preference strength of experts is studied. Then, the assessment of the group priorities is formulated as a fuzzy linear programming problem, maximizing the group’s overall satisfaction to get the group solution. The method can easily deal with missing judgments and different partiality intensity by decision makers. At the end, the feasibility and effectiveness of method is explained by an example.

The Intelligent Fault Diagnosis of Construction Machinery Based on Multi-Agent

The number of construction machinery faults is too much and its diagnosis are fuzzy and complex. We construct the fault hierarchy model by the means of hierarchy analysis and obtain all kinds of Possibility degree of faults factors through the triangular fuzzy complementary judgment matrix .Take the fault diagnosis of diesel engine fuel system, this paper establish intelligent fault diagnosis system, which has the ability of self-learning and self-correction using multi-agent technology.

The Intelligent Fault Diagnosis of Construction Machinery Based on Multi-Agent

The number of construction machinery faults is too much and its diagnosis are fuzzy and complex. We construct the fault hierarchy model by the means of hierarchy analysis and obtain all kinds of Possibility degree of faults factors through the triangular fuzzy complementary judgment matrix .Take the fault diagnosis of diesel engine fuel system, this paper establish intelligent fault diagnosis system, which has the ability of self-learning and self-correction using multi-agent technology.

FAHP Based Comprehensive Evaluation System of Water Environment Security

The evaluation system of water environment security is improved by using fuzzy analytic hierarchy process (FAHP) in determining weights of various factors of the system. First, priority judgment matrix is FAHP uses three-scale method to construct and then fuzzy consistency judgment matrix is obtained. It overcomes many shortcomings of traditional AHP, such as the difficulty to scale when assigning weights, the need to conduct consistency testing, a large amount of calculation and low accuracy of calculation. It is effective and reasonable in the evaluation of water environment security.

Evaluating Identification Indices on Damage Detection by a Fuzzy Analytical Hierarchy Process

In order to evaluate the identification precision and the computational efficiency of identification indices on damage detection and provide a reasonable basis to choose identification indices for deeply developing structural damage identification, a fuzzy analytical hierarchy process is used to comprehensive analyse and assess nine kinds of identification indices. By establishing the mathematical relationship between the precedence relation matrix and the fuzzy judgement matrix, the consistency of the judgement matrix in analytical hierarchy process is effectively improved. Using above methods and based on three evaluation standards that include mean error, network scale and measuring difficulty , a fuzzy hierarchy to assess identification indices is set up. On the basis of the fuzzy judgement matrix, the performance of nine kinds of identification indices is ranked. Empirical results show that deflection, first modal shape and fundamental frequency are more suitable for identification indices than other indices. And a fuzzy judgement matrix can be established only using the relative relationship between identification indices in the fuzzy analytical hierarchy process. Thus, the fuzzy analytical hierarchy process can be convenient extended to evaluate other identification indices and effectively improve the identification precision and the computational efficiency on damage detection.

Network Security Risk Assessment Method Research Based on Fuzzy Analytic Hierarchy Process

Aiming at the problem of complexity and uncertainty factors existing in network security risk assessment process, an analysis method based on Fuzzy Analytic Hierarchy Process is proposed in this paper. By the theory of fuzzy mathematic, this method establishes the network risk assessment model and constructs fuzzy judgment matrix to determine index weight of each level factor. The example of calculation results shows that the method is feasible and effective.

A New Judging and Revising Method for Ordinal Consistency of Fuzzy Judgment Matrix

In uncertainty decision making, experts can use interval-fuzzy number, triangular fuzzy number, trapezoidal fuzzy number , linguistic 2-tuple or linguistic indices to express their preferences. Using kernel function, the fuzzy numbers can be converted into fuzzy number range from 0 to 1. Thus, different fuzzy judgment matrix can be expressed in a unified style. A judging method for ordinal consistency of fuzzy judgment matrix was proposed according to the transitivity of binary relation. And two concepts of non-transitiv e route number (NTRN) and non-transitiv e route contribution number(NTCN) were put forward. Through the non-transitiv e route number and non-transitiv e route contribution number guidance, a revising method for fuzzy judgment matrix without ordinal consistency was put forward, in which the irrational element can be identified . The revising method can help the decision-maker revise his/her judgment matrix effectively . Finally, the non-financial performance evaluation attributes were selected and experts were asked to give the judgment matrix, fuzzy matrix without ordinal consistency was used to demonstrate the idea of the new judging and revising method for ordinal consistency of the fuzzy judgment matrix.

Multicriteria optimization in a fuzzy environment: The fuzzy analytic hierarchy process

In the paper the fuzzy extension of the Analytic Hierarchy Process (AHP) based on fuzzy numbers, and its application in solving a practical problem, are considered. The paper advocates the use of contradictory test to check the fuzzy user preferences during fuzzy AHP decision-making process. We also propose consistency check and deriving priorities from inconsistent fuzzy judgment matrices to be included in the process, in order to check if the fuzzy approach can be applied in the AHP for the problem considered. An aggregation of local priorities obtained at different levels into composite global priorities for the alternatives based on weighted-sum method is also discussed. The contradictory fuzzy judgment matrix is analyzed. Our theoretical consideration has been verified by an application of commercially available Super Decisions program (developed for solving multi-criteria optimization problems using AHP approach) on the problem previously treated in the literature. The obtained results are compared with those from the literature. The conclusions are given and the possibilities for further work in the field are pointed out.

A fuzzy logic-based approach to idea screening for product design

The idea screening of a new product concept is perhaps the most critical activity in new product development (NPD). This paper presents a fuzzy synthetic evaluation method (FSEM) for selecting an optimum design alternatives based on fuzzy set theory. The process involves constructing a hierarchical objective, setting evaluation criteria, establishing a fuzzy judgment matrix and weight vector, and then ranking the order of design alternatives by a fuzzy number in the fuzzy sequencing vector. A hierarchical structure is used to calculate the fuzzy probability level by level from the lowest-level objectives. The evaluation objectives are arranged in the hierarchical structure with several levels. The relative contribution of each objective to the overall value of the solution and the rating or degree of approximation of a solution with respect to a given objective are quantified with the membership functions of a fuzzy set. After the fuzzy expected values of the top-level objectives are calculated, they are then used to make a decision quantitatively on selecting the optimal design alternative. The proposed approach can efficiently aid managers in dealing with both ambiguity and complexity in product screening decisions. To verify the feasibility of this approach, a case study is conducted with a product design of Power Line Communication (PLC) in this study.

Additive Consistent Fuzzy Complementary Judgment Matrix’s Euclidean Space Distance Weighting Ranking Method

It is the key step to construct the fuzzy complementary judgment matrix and rank the weighting of the judgment matrix when we apply the fuzzy analytic hierarchy process (FAHP). In this paper, a method of rank the weighting which is based on the idea of additive consistent fuzzy complementary judgment matrix and Euclidean space distance, namely the Euclidean space distance weighting ranking method (EDWM) is recommended. In the end of this paper, a case is given to verify the feasibility and accuracy of this method.

Method for multiple attribute decision making based on incomplete linguistic judgment matrix

With respect to the multiple attribute decision making problems with linguistic preference relations on alternatives in the form of incomplete linguistic judgment matrix, a method is proposed to analyze the decision problem. The incomplete linguistic judgment matrix is transformed into incomplete fuzzy judgment matrix and an optimization model is developed on the basis of incomplete fuzzy judgment matrix provided by the decision maker and the decision matrix to determine attribute weights by Lagrange multiplier method. Then the overall values of all alternatives are calculated to rank them. A numerical example is given to illustrate the feasibility and practicality of the proposed method.

Selection of optimum maintenance strategies based on a fuzzy analytic hierarchy process

This paper aims to evaluate different maintenance strategies (such as corrective maintenance, time-based preventive maintenance, condition-based maintenance, and predictive maintenance) for different equipment. An optimal maintenance strategy mix is necessary for increasing availability and reliability levels of production facilities without a great increasing of investment. The selection of maintenance strategies is a typical multiple criteria decision-making (MCDM) problem. To deal with the uncertain judgment of decision makers, a fuzzy modification of the analytic hierarchy process (AHP) method is applied as an evaluation tool, where uncertain and imprecise judgments of decision makers are translated into fuzzy numbers. In order to avoid the fuzzy priority calculation and fuzzy ranking procedures in the traditional fuzzy AHP methods, a new fuzzy prioritization method is proposed. This fuzzy prioritization method can derive crisp priorities from a consistent or inconsistent fuzzy judgment matrix by solving an optimization problem with non-linear constraints. A specific example of selection of maintenance strategies in a power plant with the application of the proposed fuzzy AHP method is given, showing that the predictive maintenance strategy is the most suitable for boilers. As demonstrated by this case study, the fuzzy AHP method proposed in this paper is a simple and effective tool for tackling the uncertainty and imprecision associated with MCDM problems, which might prove beneficial for plant maintenance managers to define the optimum maintenance strategy for each piece of equipment.

Using the fuzzy analytic hierarchy process on optimum spatial allocation

This study uses the fuzzy analytic hierarchy process (FAHP) approach on a multiple criteria decision-making process made up of rational and emotional choices. The process involves setting evaluation criteria, constructing a fuzzy judgment matrix and weight vector, and then ranking the order of candidate alternatives by a fuzzy number in the fuzzy sequencing vector. This FAHP approach can provide hotel managers with a suitable way to determine the optimum spatial allocation. Also, creation of an artificial spatial allocation image by the image compositing technique allows hotel managers to see the future completed work before renovating, and the emotional judgment of the spatial image can take place immediately. Furthermore, the virtual image facilitates the reduction of communication time between hotel managers and designers and increases the level of satisfaction towards the final spatial allocation. Relevance to industry The FAHP approach addressed in this study can be applied to hotels, motels and related spaces where spatial allocation is needed and helps decision-makers or designers to choose the optimum alternative under the consideration of rational and emotional factors.

A fuzzy analytic hierarchy process approach in modular product design

Product development stages. The analytic hierarchy process (AHP), which breaks down a complex problem into simple hierarchical decision‐making processes, can be incorporated with fuzzy logic to suggest the relative strength of the factors in the corresponding criteria, thereby enabling the construction of a fuzzy judgement matrix to facilitate decision‐making. This paper proposes a fuzzy AHP approach in modular product design complemented with a case example to validate its feasibility in a real company. Test findings indicate that the approach is helpful for providing key decision support information in terms of product module selection during product development stages. The significance of the contribution of this paper is the suggestion of a novel approach in modular product design, embracing a combination of computational intelligence and traditional techniques, thereby providing more alternatives and ideas for those researchers who are interested in this field of study.