Title :
First-order Optimality Conditions for Fuzzy Number Quadratic Programming with Fuzzy Coefficients
Author :
Gong, Luozhong ; Zhou, Xuegang ; Liu, Weijun ; Wu, Kun
Author_Institution :
Sch. of Math. Sci. & Comput. Technol. Center, South Univ., Changsha, China
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.
Keywords :
duality (mathematics); fuzzy set theory; quadratic programming; constraint set; duality theory; first-order optimality conditions; fuzzy coefficients; fuzzy linear functions; fuzzy number coefficient; fuzzy number quadratic programming; fuzzy quadratic function; objective function; Computers; Constraint theory; Design optimization; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Mathematical model; Operations research; Quadratic programming; Uncertainty; First-order optimality conditions; Fuzzy number quadratic programming; Linear ranking functions;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3735-1
DOI :
10.1109/FSKD.2009.379
