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

In this paper, a stochastic fuzzy linear multiobjective programming problem is introduced and transformed to a stochastic fuzzy linear programming problem by utilizing a suggested approach of weighted objective function. In each objective, the given weight as well as the coefficients are considered...

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Veröffentlicht in:Mathematical and computer modelling Jg. 37; H. 1; S. 167 - 176
1. Verfasser: Iskander, M.G.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Oxford Elsevier Ltd 01.01.2003
Elsevier Science
Schlagworte:
Applied sciences
Calculus of variations and optimal control
Chance-constrained approach
Exact sciences and technology
Fuzzy weighted objective function
Mathematical analysis
Mathematical programming
Mathematics
Operational research and scientific management
Operational research. Management science
Sciences and techniques of general use
Stochastic fuzzy multiobjective
Stochastic fuzzy multiobjective
Chance-constrained approach
Fuzzy weighted objective function
Multiobjective programming
Linear programming
Fuzzy programming
Dominance possibility criterion
Constrained optimization
Stochastic programming
Weighting
Fuzzy triangular number
Weight function
Distribution function
Fuzzy number
Random variable
Trapezoidal fuzzy number
ISSN:0895-7177, 1872-9479
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Zusammenfassung:In this paper, a stochastic fuzzy linear multiobjective programming problem is introduced and transformed to a stochastic fuzzy linear programming problem by utilizing a suggested approach of weighted objective function. In each objective, the given weight as well as the coefficients are considered fuzzy numbers with similar or different types. In each constraint, the right-hand side is a random variable with known distribution function while both the left-hand side coefficients and the tolerance measures are considered fuzzy numbers with similar or different types. Also, all random variables are considered independent. Therefore, the chance-constrained approach with different dominance criteria is used to transform the stochastic fuzzy linear multiobjective programming problem to its equivalent deterministic-crisp linear programming problem. A comparison between different dominance criteria is illustrated by a numerical example.
Bibliographie:ObjectType-Article-2
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ISSN:0895-7177
1872-9479
DOI:10.1016/S0895-7177(03)80012-2