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A possibility programming approach for stochastic fuzzy multiobjective linear fractional programs

✍ Scribed by M.G. Iskander

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 462 KB
Volume: 48
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2004.04.035

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✦ Synopsis

In this paper, a suggested program with fuzzy linear fractional objectives and stochastic fuzzy constraints is considered. The fuzzy coefficients and scalars in the linear fractional objectives, and the left-hand side fuzzy coeffÉcients of the constraints can be either trapezoidal or triangular fuzzy numbers. The right-hand sides of the constraints are considered independent random variables with known distribution functions. A modified possibility programming approach, within the chance-constrained, is utilized to transform the suggested program to its equivalent deterministiccrisp multiobjective linear program, whether in the case of exceedance possibility or the case of strict exceedance possibility. A numerical example illustrates the proposed method.

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