## Abstract Two major approaches to deal with randomness or ambiguity involved in mathematical programming problems have been developed. They are stochastic programming approaches and fuzzy programming approaches. In this paper, we focus on multiobjective linear programming problems with random var
An interactive satisficing method for solving multiobjective mixed fuzzy-stochastic programming problems
β Scribed by C. Mohan; H.T. Nguyen
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 173 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
In this paper an interactive satisΓΏcing method (named PRELIME) is proposed for solving mixed fuzzy-stochastic multiobjective programming problems. The proposed method can be used to solve linear as well as a class of nonlinear multiobjective problems in mixed fuzzy-stochastic environment wherein various kinds of uncertainties related to fuzziness and=or randomness are present. In this method a fuzzifying approach has been proposed which treats the stochastic objectives on the basis of extended E-model and the stochastic constraints as fuzziΓΏed chance constraints. As a result of this the stochastic objectives as well as the stochastic constraints are treated in a fuzzy environment providing an opportunity to the decision maker (DM) to trade-o fuzzy as well as stochastic objectives and constraints during the interactive process of search for a satisΓΏcing solution. The use of the method has been illustrated on some test examples taken from literature.
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