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基于区间二型模糊熵的多属性决策方法

王翠翠 李宝萍 毛军军

计算机工程与应用2017,Vol.53Issue(18):132-136,162,6.
计算机工程与应用2017,Vol.53Issue(18):132-136,162,6.DOI:10.3778/j.issn.1002-8331.1608-0481

基于区间二型模糊熵的多属性决策方法

Multiple attributes decision-making method based on interval type-2 fuzzy entropy

王翠翠 1李宝萍 1毛军军2

作者信息

  • 1. 安徽三联学院 基础部,合肥 230601
  • 2. 安徽大学 数学科学学院,合肥 230601
  • 折叠

摘要

Abstract

For the multiple attribute decision-making problem that the attribute weights are all completely unknown, a decision-making method based on interval type-2 fuzzy entropy has been proposed. In order to quantify the uncertain information of IT2FSs, the axiomatic principles of interval type-2 fuzzy entropy is constructed by introducing fuzzy factor and hesitancy factor and interval factor, and three entropy formulas are proposed by using Euclidean distance, Hamming distance and general distance, respectively. Meanwhile, a mathematical programming model by using entropy formulas has been constructed to determine the attribute weights based on the minimizing overall uncertainty principle, the specific decision-making approach has been proposed with a new score function, and the effectiveness and flexibility of the pro-posed method are verified through an example analysis.

关键词

属性权重/区间二型模糊熵/公理化准则/得分函数/多属性决策

Key words

attribute weights/interval type-2 fuzzy entropy/axiomatic principles/score function/multiple attribute decision-making

分类

信息技术与安全科学

引用本文复制引用

王翠翠,李宝萍,毛军军..基于区间二型模糊熵的多属性决策方法[J].计算机工程与应用,2017,53(18):132-136,162,6.

基金项目

国家自然科学基金面上项目(No.71371011) (No.71371011)

安徽省高等学校省级自然科学研究重点项目(No.KJ2016A250) (No.KJ2016A250)

安徽三联学院自然科学校级重点项目(No.kjzd2016001). (No.kjzd2016001)

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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