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Fuzzy programming with nonlinear membership functions: Piecewise linear approximation. (English) Zbl 0743.90115
The authors consider the general problem of fuzzy linear programming with nonlinear membership functions. They propose piecewise linear approximations of these functions. In this way it is possible to convert the initial problem into the conventional linear programming model with continuous variables in the case of concave membership functions and discrete (zero-one) variables in the case of nonconcave membership functions.

MSC:
90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
90C05 Linear programming
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