(V,ρ)h,φ-Ⅰ 型多目标规划的最优性充分条件

数学季刊 ›› 2012, Vol. 27 ›› Issue (3): 409-416.

(V,ρ)_h,φ-Ⅰ 型多目标规划的最优性充分条件

1. College of Mathematics and Computer Science, Yanan University 2. Shenmu Seventh Middle School

收稿日期:2010-12-27 出版日期:2012-09-30 发布日期:2023-03-23
作者简介:ZHANG Qing-xiang(1954-), male, native of Ansai, Shaanxi, a professor of Yanan University, engages in optimization theory, algorithm and application.
基金资助:
Supported by the NSF of Shaanxi Provincial Educational Department(06JK152)

Suﬃcient Optimality Conditions for Multiobjective Programming Involving (V,ρ)h,φ-type I Functions

1. College of Mathematics and Computer Science, Yanan University 2. Shenmu Seventh Middle School

Received:2010-12-27 Online:2012-09-30 Published:2023-03-23
About author:ZHANG Qing-xiang(1954-), male, native of Ansai, Shaanxi, a professor of Yanan University, engages in optimization theory, algorithm and application.
Supported by:
Supported by the NSF of Shaanxi Provincial Educational Department(06JK152)

摘要/Abstract

摘要： New classes of functions namely (V, ρ)_h,φ-type I, quasi (V, ρ)_h,φ-type I and pseudo (V, ρ)_h,φ-type I functions are defined for multiobjective programming problem by using BenTal’s generalized algebraic operation. The examples of (V, ρ)_h,φ-type I functions are given. The sufficient optimality conditions are obtained for multi-objective programming problem involving above new generalized convexity.

关键词: multiobjective programming, (V, ρ)_h,?-type I functions, Pareto e?cient solution, su?cient optimality conditions

Abstract: New classes of functions namely (V, ρ)_h,φ-type I, quasi (V, ρ)h,φ-type I and pseudo (V, ρ)_h,φ-type I functions are defined for multiobjective programming problem by using BenTal’s generalized algebraic operation. The examples of (V, ρ)_h,φ-type I functions are given. The sufficient optimality conditions are obtained for multi-objective programming problem involving above new generalized convexity.

Key words: multiobjective programming, (V, ρ)_h,?-type I functions, Pareto e?cient solution; su?cient optimality conditions

中图分类号:

O221.6

张庆祥, 姜艳, 康瑞瑞. (V,ρ)_h,φ-Ⅰ 型多目标规划的最优性充分条件[J]. 数学季刊, 2012, 27(3): 409-416.

ZHANG Qing-xiang, JIANG Yan, KANG Rui-rui. Suﬃcient Optimality Conditions for Multiobjective Programming Involving (V,ρ)h,φ-type I Functions[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(3): 409-416.

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