Extension principle and fuzzy-mathematical programming

نویسنده

  • Jaroslav Ramík
چکیده

A concept of fuzzy-mathematical programming problem is introduced in this paper. It is a problem of optimizing an objective function subject to a constraint set which is a fuzzy set. Solution of a FMP problem is defined as a fuzzy set by means of the "Extension principle" applied to a set-to-set mapping. Our philosophy is applied to the linear programming problem, where the set of all feasible solutions is subjected to fuzzyfication. The fuzzy-optimal solution can be obtained by an algorithmic way as demonstrated by a simple example.

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عنوان ژورنال:
  • Kybernetika

دوره 19  شماره 

صفحات  -

تاریخ انتشار 1983