Abstract

Discrete optimization problem with fuzzy input parameters having the form of triangular fuzzy numbers is considered. Objective function is given by the sum of some subset of fuzzy input data. Crisp model with two criteria: objective function and its membership function is formulated. We propose an algorithm which constructs the Pareto set of this bi-criteria problem. We consider particular fuzzy discrete problems, such as scheduling problems, routing problems, problems of selecting a subset of elements, maximum matching problems, where the obtained results could be applied.

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