2007•Journal of Nanchang Hangkong UniversityRequires access

Duality theorems for multi-objective fractional programming with a new formulation of generalized convexity

Qiu Gen-sheng

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Abstract

In this paper,we present a new formulation of generalized convex function(F,α,ρ,θ)-b-convex function.Then three duality types of(MFP) which are Mond-Weir type,Lagrange type and Schaible type are discussed.At the same time,the weak duality theorems and strong duality theorems are proved for the three types of duality respectively based on the(F,α,ρ,θ)-b-convexity.

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What this paper is about

In this paper,we present a new formulation of generalized convex function(F,α,ρ,θ)-b-convex function.Then three duality types of(MFP) which are Mond-Weir type,Lagrange type and Schaible type are discussed.At the same time,the weak duality theorems and strong duality theorems are proved for the three types of duality respectively based on the(F,α,ρ,θ)-b-convexity.

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Available abstract

In this paper,we present a new formulation of generalized convex function(F,α,ρ,θ)-b-convex function.Then three duality types of(MFP) which are Mond-Weir type,Lagrange type and Schaible type are discussed.At the same time,the weak duality theorems and strong duality theorems are proved for the three types of duality respectively based on the(F,α,ρ,θ)-b-convexity.

Key concepts: Duality (order theory), Convexity, Mathematics, Strong duality, Wolfe duality, Type (biology), Fractional programming, Duality gap

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