Duality for multiple objective fractional subset programming with generalized (Γ, ρ, σ, θ)-V-type-I functions

被引：9

作者：

Mishra, S. K. ^{[1
]}

机构：

[1] Govind Ballabh Pant Univ Agr & Technol, Stat & Comp Sci Coll Basic Sci & Humanities, Pantnagar 263145, Uttar Pradesh, India

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2006年 / 36卷 / 04期

关键词：

multiple Objective fractional subsets programming; generalized n-set convex functions; duality;

D O I：

10.1007/s10898-006-9023-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we use a new class of generalized convex n-set functions, called (F,rho, sigma, theta)-V-Type-I and related non-convex functions to establish appropriate duality theorems for three parametric and three semi-parametric dual models to the primal problem. This work extends an earlier work of Zalmai [Computer and Mathematics with Applications 43 (2002) 1489-1520] to a wider class of functions.

引用

页码：499 / 516

页数：18

共 41 条

[21] OPTIMALITY OF DIFFERENTIABLE, VECTOR-VALUED N-SET FUNCTIONS [J].