A possibility programming approach for stochastic fuzzy multiobjective linear fractional programs

Authors:
M. G. Iskander
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2004

Citing 2
Cited 2

An interactive fuzzy satisficing method for multiobjective linear fractional programming problems

Fuzzy Sets and Systems
Using different dominance criteria in stochastic fuzzy linear multiobjective programming: A case of fuzzy weighted objective function

Mathematical and Computer Modelling: An International Journal

A computational comparison between two evaluation criteria in fuzzy multiobjective linear programs using possibility programming

Computers & Mathematics with Applications
On stability of proper efficient solutions in multiobjective fractional programming problems under fuzziness

Mathematical and Computer Modelling: An International Journal

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Abstract

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 coefficients 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 deterministic-crisp multiobjective linear program, whether in the case of exceedance possibility or the case of strict exceedance possibility. A numerical example illustrates the proposed method.