First-order optimality conditions for fuzzy number quadratic programming with fuzzy coefficients

Authors:
Luozhong Gong;Xuegang Zhou;Weijun Liu;Kun Wu
Affiliations:
School of Mathematical Science and Computing Technology, Center South University, Changsha, Hunan, China;School of Mathematical Science and Computing Technology, Center South University, Changsha, Hunan, China;School of Mathematical Science and Computing Technology, Center South University, Changsha, Hunan, China;School of Mathematical Science and Computing Technology, Center South University, Changsha, Hunan, China
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 4
Year:
2009

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Abstract

The purpose of the present paper is to investigate duality theory in fuzzy number quadratic programming(FNQP) in which the objective function is fuzzy quadratic function with fuzzy number coefficient and the constraint set is fuzzy linear functions with fuzzy number coefficient. We present first-order optimality conditions for fuzzy number quadratic programming with fuzzy number coefficient.