DocumentCode :
2650754
Title :
Duality Theorems of Multiobjective Programming for a Class of Generalized Convex Functions
Author :
Ying-ying, WANG ; Rui-ping, LUO
Author_Institution :
Jilin Inst. of Architect & Civil Eng., Jilin
fYear :
2007
fDate :
20-22 Aug. 2007
Firstpage :
579
Lastpage :
584
Abstract :
Many important achievement of multiobjective programming are all based on convex programming. How to extend and deepen them, one vital aspect is extend the convexity functions which are refered in various sense to more general convexity functions. In this paper, a class of generalized convexity fuctions: (F, rho )-invariant convex function, (F, rho)- invariant quasiconvex function, (F, rho )-invariant pseudoconvex function and (F, rho )-strictly invariant pseudoconvex function are defined. On the basis of definitions, we have constructed general duality models (VD); discussed duality property of (VP) and (VD); proved weakly duality theorem, direct duality theorem and converse duality theorem. The functions of a class of generalized convexity are extension of the several different generalized convexity functions presented in the references (X.M Yiang, 1991), (Y.Z. Li, 1993), (M.A. Hanson et al., 1982), (C.Y. Lin et al., 1992) and (M.A. Hanson, 1981). The results of this paper can be thought of as improved extended and generalized of the main results of the references (X.M Yiang, 1991), (Y.Z,. Li, 1993), (M.A. Hanson et al., 1982), (C.Y. Lin et al., 1992) (M.A. Hanson, 1981), (C.Y. Lin, 1987,1998,1981,1985), and (D.G. Mahajan et al., 1997).
Keywords :
convex programming; duality (mathematics); converse duality theorem; convex programming; direct duality theorem; invariant convex function; invariant pseudoconvex function; invariant quasiconvex function; multiobjective programming; strictly invariant pseudoconvex function; weakly duality theorem; Civil engineering; Conference management; Engineering management; Functional programming; Hydrogen; Lagrangian functions; Duality property; Duality theorem; Generalized convexity functions; Multiobjective programming;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Management Science and Engineering, 2007. ICMSE 2007. International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-7-88358-080-5
Electronic_ISBN :
978-7-88358-080-5
Type :
conf
DOI :
10.1109/ICMSE.2007.4421909
Filename :
4421909
Link To Document :
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