Fuzzy Linear Programming

In 1976, H.-J. Zimmermann first introduced fuzzy set theory into conventional linear programming problems. He considered linear programming problems with a fuzzy goal and fuzzy constraints. Following the fuzzy decision proposed by Bellman and Zadeh (1970) together with linear membership functions, he proved that there exists an equivalent linear programming problem. Since then, fuzzy linear programming has been developed in a number of directions with many successful applications. Nowadays, fuzzy programming is considered an important area of multiobjective optimization under fuzziness.

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