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Published in:
2009 | OriginalPaper | Chapter
Fuzzy Programming
Author : Baoding Liu
Published in: Theory and Practice of Uncertain Programming
Publisher: Springer Berlin Heidelberg
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Fuzzy programming offers a powerful means of handling optimization problems with fuzzy parameters. Fuzzy programming has been used in different ways in the past. Liu and Liu [184] presented a concept of expected value operator of fuzzy variable and provided a spectrum of fuzzy expected value models which optimize the expected objective functions subject to some expected constraints. In addition, Liu and Iwamura [168][169] introduced a spectrum of fuzzy maximax chance-constrained programming, and Liu [171] constructed a spectrum of fuzzy minimax chance-constrained programming in which we assume that the fuzzy constraints will hold with a given credibility level. Liu [172] provided a fuzzy dependent-chance programming theory in order to maximize the chance functions of satisfying some events.