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

Volume

4

fYear

2009

fDate

14-16 Aug. 2009

Firstpage

286

Lastpage

290

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on

Conference_Location

Tianjin

Print_ISBN

978-0-7695-3735-1

Type

conf

DOI

10.1109/FSKD.2009.379

Filename

5359158