A fuzzy weighted additive approach for stochastic fuzzy goal programming

摘要

In this paper, a certain structure for the stochastic fuzzy goal programming problem is presented. The goal constraints are considered stochastic and fuzzy, with fuzziness in inequalities, while the aspiration levels are assumed independent random variables with known distribution functions. The chance-constrained approach is utilized to transform the stochastic constraints to their deterministic equivalent. On the other hand, when any preemptive priority structure can not be determined, a fuzzy weighted additive approach is proposed, through the possibility programming technique that relies on the α-cut approach, to formulate a deterministic-crisp model. The suggested approach is illustrated by a numerical example.