Publication: Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming Problems
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Undergraduate course
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World Acad Sci, Eng & Tech-waset
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Abstract
Based on the fuzzy set theory this work develops two adaptations of iterative methods that solve mathematical programming problems with uncertainties in the objective function and in the set of constraints. The first one uses the approach proposed by Zimmermann to fuzzy linear programming problems as a basis and the second one obtains cut levels and later maximizes the membership function of fuzzy decision making using the bound search method. We outline similarities between the two iterative methods studied. Selected examples from the literature are presented to validate the efficiency of the methods addressed.
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Keywords
Fuzzy Theory, Nonlinear Optimization, Fuzzy Mathematics Programming
Language
English
Citation
Proceedings Of World Academy Of Science, Engineering And Technology, Vol 14. Canakkale: World Acad Sci, Eng & Tech-waset, v. 14, p. 330-+, 2006.
