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三角模糊数在多属性决策中的建模

廖勇 陈华群

计算机工程与应用Issue(11):206-211,6.
计算机工程与应用Issue(11):206-211,6.DOI:10.3778/j.issn.1002-8331.1402-0185

三角模糊数在多属性决策中的建模

Modeling of triangular fuzzy number in multi-attribute decision-making

廖勇 1陈华群1

作者信息

  • 1. 中国民用航空飞行学院 空中交通管理学院,四川 广汉 618307
  • 折叠

摘要

Abstract

In order to obtain the mathematical model of Multi-Attribute Decision Making(MADM)under condition of group decision making, linguistic variable and triangular fuzzy number is introduced into MADM in this research. The entries in decision matrix and weights of all attributes are represented by triangular fuzzy number or linguistic variable. The final evaluation value of each alterative is achieved by means of Simple Additive Weighting method(SAW). The degree of dominance between alternatives is defined by the way of difference of two triangular fuzzy numbers. The complementary judgment matrix is built up on degree of dominance between alternatives. The ordering vector of alternatives is figured out by using the least-square method. The order of alternatives is gained according to the value of element of the order vector.

关键词

三角模糊数/多属性决策/互补判断矩阵/建模

Key words

triangular fuzzy number/Multi-Attribute Decision Making(MADM)/complementary decision matrix/modeling

分类

自科综合

引用本文复制引用

廖勇,陈华群..三角模糊数在多属性决策中的建模[J].计算机工程与应用,2015,(11):206-211,6.

基金项目

中国民用航空飞行学院面上项目(No.J2012-46)。 ()

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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