Fuzzy number linear programming: A probabilistic approach (3)

In the real world there are many linear programming problems where all decision parameters are fuzzy numbers. Several approaches exist which use different ranking functions for solving these problems. Unfortunately when there exist alternative optimal solutions, usually with different fuzzy value of...

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Bibliographic Details
Published inJournal of applied mathematics & computing Vol. 15; no. 1-2; pp. 333 - 341
Main Authors Maleki, H R, Mashinchi, M
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.03.2004
Subjects
Algorithms
Applied mathematics
Fuzzy
Fuzzy logic
Fuzzy systems
Linear programming
Mathematical analysis
Mathematical models
Optimization
Ranking
Simplex method
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Summary:In the real world there are many linear programming problems where all decision parameters are fuzzy numbers. Several approaches exist which use different ranking functions for solving these problems. Unfortunately when there exist alternative optimal solutions, usually with different fuzzy value of the objective function for these solutions, these methods can not specify a clear approach for choosing a solution. In this paper we propose a method to remove the above shortcoming in solving fuzzy number linear programming problems using the concept of expectation and variance as ranking functions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1598-5865
1865-2085
DOI:10.1007/BF02935766