多准则模糊决策的Vague集方法

许昌林;魏立力

系统工程理论与实践 ›› 2010, Vol. 30 ›› Issue (11) : 2019-2025.

PDF(418 KB)
PDF(418 KB)
系统工程理论与实践 ›› 2010, Vol. 30 ›› Issue (11) : 2019-2025. DOI: 10.12011/1000-6788(2010)11-2019
论文

多准则模糊决策的Vague集方法

    许昌林, 魏立力
作者信息 +

Vague set method of multi-criteria fuzzy decision making

    XU Chang-lin, WEI Li-li
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文章历史 +

摘要

对模糊环境下的多准则决策问题,指出了采用Vague集进行多准则模糊决策的现有记分函数的不足, 根据Vague集隶属度、非隶属度的之间的大小关系,对由Vague值组成的集合进行划分,提出新的 记分函数法以及加权记分函数法.并用Vague集描述方案关于准则集的满足程度与不满足程度, 即准则的权重也由Vague集表示.这种方法为决策者做出最优决策提供了一种方便有效的方法.

Abstract

The shortages of existed score function for the multi-criteria fuzzy decision making issue of the fuzzy environment are pointed. According to the size of the relationship between membership non-membership of vague sets and the partition of the set that is composed of vague value, the new methods are provided. They are called score function method and weighted score function method. The weight of criteria is also denoted by vague set. This method provides a effective tool for decision-makers.

关键词

多准则模糊决策 / Vague集 / 记分函数 / 线性规划

Key words

multi-criteria fuzzy decision making / Vague set / score function / linear programming

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导出引用
许昌林 , 魏立力. 多准则模糊决策的Vague集方法. 系统工程理论与实践, 2010, 30(11): 2019-2025 https://doi.org/10.12011/1000-6788(2010)11-2019
XU Chang-lin , WEI Li-li. Vague set method of multi-criteria fuzzy decision making. Systems Engineering - Theory & Practice, 2010, 30(11): 2019-2025 https://doi.org/10.12011/1000-6788(2010)11-2019
中图分类号: TP18   
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