锥约束上不可微多目标分式规划问题的高阶对称对偶

R. Dubey, Deepmala, V. Mishra
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引用次数: 22

摘要

本文介绍了锥上高阶K-(C,α,ρ,d)-凸性/拟凸性的定义,并讨论了已有这类函数的一个不平凡的数值例子。本文的目的是研究在高阶K-(C,α,ρ,d)-凸性/伪凸性假设下,不可微Mond-Weir型程序在任意锥上的高阶分数对称对偶。接下来,我们在上述假设下证明了适当的对偶关系。
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Higher-order symmetric duality in nondifferentiable multiobjective fractional programming problem over cone contraints
In this paper, we introduce the definition of higher-order K-(C,α, ρ, d)-convexity/pseudoconvexity over cone and discuss a nontrivial numerical examples for existing such type of functions. The purpose of the paper is to study higher order fractional symmetric duality over arbitrary cones for nondifferentiable Mond-Weir type programs under higherorder K -(C,α, ρ, d)-convexity/pseudoconvexity assumptions. Next, we prove appropriate duality relations under aforesaid assumptions.
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