Method for interval multi-attribute decision making based on entropy

doi:10.3778/j.issn.1002-8331.2010.33.068

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (33): 236-238.DOI: 10.3778/j.issn.1002-8331.2010.33.068

• 工程与应用 • Previous Articles Next Articles

Method for interval multi-attribute decision making based on entropy

FENG Xiang-qian，QIAN Gang

School of Computer Science & Technology，Nanjing Normal University，Nanjing 210097，China

Received:2009-05-18 Revised:2009-07-18 Online:2010-11-21 Published:2010-11-21
Contact: FENG Xiang-qian

基于熵权的区间数多属性决策方法

冯向前，钱钢

南京师范大学计算机科学与技术学院，南京 210097

通讯作者: 冯向前

Abstract

Abstract: Multiple attribute decision making problems are studied，in which the information about the attribute weights is unknown completely and attribute values are interval numbers.Firstly，improved ranking method of interval numbers is developed which is different from most of the proposed interval comparison methods totally based on the midpoints of interval numbers.Secondly，improved method for normalizing the decision matrix with interval numbers is presented.Then based on traditional theory of entropy weights and the property of interval numbers decision making matrix，a method is proposed to determine entropy weights.Finally，a numerical example is given to show the feasibility and effectiveness of the method.

Key words: multiple attribute decision making, interval numbers, normalization, ranking methods, entropy weight

摘要： 研究了属性权重未知且属性值为区间数的多属性决策问题。首先针对一般区间数排序方法完全依赖区间数中点值的缺陷，提出了一种改进的排序方法；接着给出了改进的区间数判断矩阵规范化方法；然后依据多属性决策中传统熵权确定方法的思路，结合区间数决策矩阵的特点提出了一种确定属性熵权的方法；最后通过一个算例说明了该方法的实用性和有效性。

关键词: 多属性决策, 区间数, 规范化, 排序方法, 熵权

CLC Number:

O223

FENG Xiang-qian，QIAN Gang. Method for interval multi-attribute decision making based on entropy[J]. Computer Engineering and Applications, 2010, 46(33): 236-238.

冯向前，钱钢. 基于熵权的区间数多属性决策方法[J]. 计算机工程与应用, 2010, 46(33): 236-238.

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Method for interval multi-attribute decision making based on entropy

基于熵权的区间数多属性决策方法

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