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Fuzzy programming and linear programming with several objective functions. (English) Zbl 0548.90076

Fuzzy sets and decision analysis, TIMS Stud. Manage. Sci. 20, 109-121 (1984).
[For the entire collection see Zbl 0534.00023.]
The paper is a reprint from Fuzzy Sets Syst. 1, 45-55 (1978; Zbl 0364.90065). The main idea in this paper consists in replacing a linear vector maximum problem with a fuzzy linear program, associating a fuzzy goal - a fuzzy set on the alternative space - with each objective function. A solution of the fuzzy program is regarded as a compromise solution to the initial problem.
The paper inspired many later works developing a new approach, called fuzzy approach, to the multicriterial programming in general (not only to the linear one).
Reviewer: S.Chanas

MSC:

90C31 Sensitivity, stability, parametric optimization
03E72 Theory of fuzzy sets, etc.
90C05 Linear programming