约束条件为加法-取小模糊关系系统的带权min-max规划

doi:10.12005/orms.2018.0236

运筹与管理 ›› 2018, Vol. 27 ›› Issue (10): 97-101.DOI: 10.12005/orms.2018.0236

约束条件为加法-取小模糊关系系统的带权min-max规划

朱天翔, 林海涛, 杨晓鹏

韩山师范学院数学与统计学院,广东潮州 521041

收稿日期:2017-09-30 出版日期:2018-10-25
通讯作者: 林海涛(1982-),男,广东揭阳人,硕士,讲师,主要从事模糊关系方程、模糊优化方面的研究。;杨晓鹏(1981-),男,广东普宁人,博士,副教授,主要从事模糊关系方程、模糊优化方面的研究。
作者简介:朱天翔(1979-),男,河南信阳人,硕士,讲师,主要从事模糊关系方程、模糊优化方面的研究。
基金资助:
广东省自然科学基金项目(2016A030307037)

Weighted Min-Max Programming Problem Subject toAddition-Min Fuzzy Relation Inequalities

ZHU Tian-xiang, LIN Haitao, YANG Xiao-peng

Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China

Received:2017-09-30 Online:2018-10-25

摘要/Abstract

摘要： 定义了目标函数为带权重的min-max规划,约束条件为加法-取小模糊关系不等式系统,研究此模糊关系规划问题的求解思路和方法。当此模糊关系系统相容时,给出了一个求解此模糊关系规划问题的新算法和例子。

关键词: 模糊关系系统, min-max规划, 权重, 加法-取小算子, 相容

Abstract: In this paper, a weighted min-max programming problem subject to addition-min fuzzy relation inequalities system is introduced. A solution idea and method for this fuzzy relationship inequalities system is given. Based on some relevant theorems on resolution, a new algorithm is developed. Finally, the algorithm is applied to numerical example.

Key words: fuzzy relation system, min-max programming, weighted, addition-min composition, consistent

中图分类号:

O221.6

朱天翔, 林海涛, 杨晓鹏. 约束条件为加法-取小模糊关系系统的带权min-max规划[J]. 运筹与管理, 2018, 27(10): 97-101.

ZHU Tian-xiang, LIN Haitao, YANG Xiao-peng. Weighted Min-Max Programming Problem Subject toAddition-Min Fuzzy Relation Inequalities[J]. Operations Research and Management Science, 2018, 27(10): 97-101.

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约束条件为加法-取小模糊关系系统的带权min-max规划

Weighted Min-Max Programming Problem Subject toAddition-Min Fuzzy Relation Inequalities

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