An interactive algorithm for large scale multiple objective programming problems with fuzzy parameters through TOPSIS approach

In this paper, we extend technique for order preference by similarity ideal solution (TOPSIS) for solving large scale multiple objective programming problems involving fuzzy parameters. These fuzzy parameters are characterized as fuzzy numbers. For such problems, the α-Pareto optimality is introduce...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 177; no. 2; pp. 515 - 527
Main Authors: Abo-Sinna, Mahmoud A., Abou-El-Enien, Tarek H.M.
Format: Journal Article
Language:English
Published: New York, NY Elsevier Inc 15.06.2006
Elsevier
Subjects:
Applied sciences
Block angular structure
Calculus of variations and optimal control
Decision theory. Utility theory
Exact sciences and technology
Fuzzy parameters
Interactive decision making
Mathematical analysis
Mathematics
Multiple objective programming problems
Operational research and scientific management
Operational research. Management science
Optimization. Search problems
Sciences and techniques of general use
TOPSIS
Multiple objective programming problems
Fuzzy parameters
Block angular structure
TOPSIS
Interactive decision making
Pareto optimum
Level set
Optimal algorithm
Decision making
Multiobjective programming
Fuzzy programming
Preference theory
Similarity solution
Fuzzy set
Applied mathematics
Optimal solution
Large scale
Fuzzy number
ISSN:0096-3003, 1873-5649
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Summary:In this paper, we extend technique for order preference by similarity ideal solution (TOPSIS) for solving large scale multiple objective programming problems involving fuzzy parameters. These fuzzy parameters are characterized as fuzzy numbers. For such problems, the α-Pareto optimality is introduced by extending the ordinary Pareto optimality on the basis of the α-level sets of fuzzy numbers. An interactive fuzzy decision making algorithm for generating α-Pareto optimal solution through TOPSIS approach is provided where the decision maker (DM) is asked to specify the degree α and the relative importance of objectives. Finally, a numerical example is given to clarify the main results developed in the paper.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2005.11.030