Minimax chance constrained programming models for fuzzy decision systems

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Abstract

The existing chance constrained programming for fuzzy decision systems is essentially a kind of maximax models (optimistic models) which maximize the maximum possible return. This paper presents a spectrum of minimax models as opposed to maximax models based on chance constrained programming as well as chance constrained multi-objective programming and chance constrained goal programming, in which the minimax models will select the alternative that provides the best of the worst possible return. Finally, a fuzzy simulation based genetic algorithm will be designed for solving minimax models and illustrated by some numerical examples.

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