Duality for Multiobjective Semi-Infinite Programming with Uniform K-(Fb,rho)-Convexity

Author

Hong Yang

Author_Institution

Sch. of Math. & Stat., Yulin Coll., Yulin, China

fYear

2013

fDate

14-15 Dec. 2013

Firstpage

831

Lastpage

835

Abstract

In this paper, new classes of generalized convex functions called uniform K-(F_b, ρ)- convex, uniform K-(F_b, ρ)- pseudoconvex, uniform K-(F_b, ρ)-quasiconvex functions are defined using K-directional derivative and K-sub differential. Multiobjective semi-infinite programming involving these generalized convex functions is researched, some Mond-Weir type duality results are obtained.

Keywords

convex programming; duality (mathematics); functions; set theory; K-directional derivative; K-sub differential; Mond-Weir type duality; generalized convex functions; mathematical programming; multiobjective semiinfinite programming; uniform K-(F_b, ρ)- pseudoconvex function; uniform K-(F_b, ρ)-quasiconvex function; uniform K-(F_b,ρ)-convexity function; Approximation methods; Computational intelligence; Convex functions; Educational institutions; Mathematical programming; Programming; Mond-Weir type duality; multiobjective semi-infinite programming; rho)-convex function; rho)-pseudoconvex function; rho)-quasiconvex function; uniform K-(F_b;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence and Security (CIS), 2013 9th International Conference on

Conference_Location

Leshan

Print_ISBN

978-1-4799-2548-3

Type

conf

DOI

10.1109/CIS.2013.181

Filename

6746549