One modification of fuzzy TOPSIS method
Само за регистроване кориснике
2013
Чланак у часопису (Објављена верзија)
,
2013, Emerald Group Publishing Limited
Метаподаци
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Purpose
The purpose of this paper is to present one modification of the fuzzy TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) and to develop a corresponding computer program which could be used for the multicriteria decision making for problems in practice.
Design/methodology/approach
This method is based on the uncertainties and probabilities of input data for ratings of alternatives with respect to criteria and weights of criteria that are presented by triangular fuzzy numbers as probabilistic fuzzy values. These input data are transformed in the procedure into output data that are relevant for the ranking of alternatives and decision making.
Findings
The proposed method is based on the generalized mean and spread of fuzzy numbers that are calculated according to probability of fuzzy events due to Zadeh. Ranking of alternatives for relevant criteria performs according to relative expected closeness, coefficient of variation and relative standard devia...tion of distance of alternatives to the ideal solutions. The most acceptable rule is related to the minimal value of the expected relative distance to positive ideal solution, especially when the coefficient of variation of distance to this solution is small. The attached example, related to a real project, confirms these findings.
Originality/value
This paper proposes three novel contributions in this area. Unlike the methods proposed by other authors, the weighted fuzzy decision matrix is expressed by the matrix of generalized expected values and matrix of generalized variances. To compute elements of these two matrices, exact formulae are derived and then the modified fuzzy TOPSIS procedure is carried out.
Кључне речи:
Fuzzy TOPSIS / decision making / fuzzy logic / computer software / project selection / fuzzy event / technique for order preference to ideal solutionby similarityИзвор:
Journal of Modelling in Management, 2013, 8, 1, 81-102Издавач:
- Emerald Group Publishing Limited