DocumentCode :
3370470
Title :
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-(Fb, ρ)- convex, uniform K-(Fb, ρ)- pseudoconvex, uniform K-(Fb, 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-(Fb, ρ)- pseudoconvex function; uniform K-(Fb, ρ)-quasiconvex function; uniform K-(Fb,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
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3370470
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