Study on Karush-Kuhn-Tucker optimality condition for fuzzy optimization problems

چکیده مقاله

In this study, Karush-Kuhn-Tucker optimality condition is investigated for problems that have fuzzy value objective function. Firstly, for this purpose, fuzzy set intervals, Concepts such as continuity, generalized Hukuhara integrability and generalized convexity are stated for value fuzzy function using
properties. Also we showed that if the functiov be fuzzy convex and continuously surface differentiable and the derived answer meet KKT conditions , this answer is non-domination answer of the problem . Finally, Karush-Kahn-Tucker optimality condition is stated for generalized differentiable optimization problems and value fuzzy generalized Quasi-convex functions using these concepts, and the difference between Hukuhara was used to define derivative of value fuzzy function .

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