Convex fuzzy mapping with differentiability and its application in fuzzy optimization |
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| Authors: | Motilal Panigrahi Geetanjali Panda Sudarsan Nanda |
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| Institution: | Department of Mathematics, Indian Institute of Technology, Kharagpur 721 302, West Bengal, India |
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| Abstract: | The concepts of differentiability, convexity, generalized convexity and minimization of a fuzzy mapping are known in the literature. The purpose of this present paper is to extend and generalize these concepts to fuzzy mappings of several variables using Buckley–Feuring approach for fuzzy differentiation and derive Karush–Kuhn–Tucker condition for the constrained fuzzy minimization problem. |
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| Keywords: | Fuzzy numbers Differentiation Convex analysis KKT condition |
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