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Solving fuzzy programming with a consistent fuzzy number ranking
conference contribution
posted on 2014-01-01, 00:00 authored by Thanh Thi NguyenThanh Thi Nguyen, V Lee, Abbas KhosraviAbbas Khosravi, Douglas CreightonDouglas Creighton, Saeid NahavandiSome illustrative examples are provided to identify the ineffective and unrealistic characteristics of existing approaches to solving fuzzy linear programming (FLP) problems (with single or multiple objectives). We point out the error in existing methods concerning the ranking of fuzzy numbers and thence suggest an effective method to solve the FLP. Based on the consistent centroid-based ranking of fuzzy numbers, the FLP problems are transformed into non-fuzzy single (or multiple) objective linear programming. Solutions of FLP are then crisp single or multiple objective programming problems, which can respectively be obtained by conventional methods.
History
Event
Systems, Man, and Cybernetics Conference. (2014 : San Diego, California)Pagination
551 - 556Publisher
IEEELocation
San Diego, CaliforniaPlace of publication
Piscataway, NJPublisher DOI
Start date
2014-10-05End date
2014-10-08ISBN-13
9781479938391Language
engPublication classification
E Conference publication; E1 Full written paper - refereedCopyright notice
2014, IEEEEditor/Contributor(s)
[Unknown]Title of proceedings
SMC 2014 : Proceedings of the 2014 IEEE International Conference on Systems, Man, and CyberneticsUsage metrics
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No categories selectedKeywords
Science & TechnologyTechnologyComputer Science, Artificial IntelligenceComputer Science, CyberneticsComputer Science, Information SystemsComputer Scienceranking fuzzy numbersfuzzy linear programming - FLPfuzzy multiobjective linear programming - FMOLPfuzzy number centroidCONSTRAINED OPTIMIZATION PROBLEMSAPPROXIMATE ALGORITHMFORMULATIONAREA
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