基于熵测度的三参数区间数信息下的TOPSIS决策方法

中国管理科学 ›› 2013, Vol. 21 ›› Issue (6): 145-151.

基于熵测度的三参数区间数信息下的TOPSIS决策方法

闫书丽^1,2, 刘思峰¹, 朱建军¹, 方志耕¹, 刘健³

1. 南京航空航天大学经济与管理学院, 江苏南京 210016;
2. 河南科技大学数学与统计学院, 河南洛阳 471003;
3. 南京理工大学经济管理学院, 江苏南京 210094

收稿日期:2012-02-19 修回日期:2012-10-10 出版日期:2013-12-29 发布日期:2013-12-23
基金资助:
国家社科基金重大项目（10zd&014）；国家社科基金重点项目（12AZD102）；国家自然科学基金资助项目（71111130211，90924022，70971064，7117113，71171112，71271226）；南京航空航天大学创新群体（Y0553）；特聘教授科研创新基金（1009-260812）

TOPSIS Decision-Making Method with Three-Parameter Interval Number Based on Entropy Measure

YAN Shu-li^1,2, LIU Si-feng¹, ZHU Jian-jun¹, FANG Zhi-geng¹, LIU Jian³

1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, China;
3. School of Ecnomics & Management, Nanjing University of Science and Technology, Nanjing 210094, China

Received:2012-02-19 Revised:2012-10-10 Online:2013-12-29 Published:2013-12-23

摘要/Abstract

摘要： 研究基于三参数区间数的排序及决策模型，提出了基于三参数区间数的重心点、中点、长度的可能度排序方法；基于重心点发生可能性最大的三参数区间数分布特点，提出了距离测度公式；建立了基于三参数区间数熵测度的属性权重模型，在此基础上构建了依据TOPSIS思想的不确定性决策框架。算例说明了该方法的步骤和有效性。

关键词: 不确定性决策, 三参数区间数, 熵测度, TOPSIS

Abstract: Ordering method of three-parameter interval numbers and decision-making model are studied in this paper. Firstly, a new method of the possibility ranking based on gravity center, midpoint, and the length of three-parameter interval numbers is proposed. Then, the distance formula of three -parameter numbers is established according to the most likely appearing characteristic of gravity center. Furthermore, a new attributes' weight model based on entropy measure of the three-parameter interval numbers is established. Based on the new distance formula and ordering method of three-parameter interval numbers, an uncertain decision making structure is introduced according to the TOPSIS. Finally, numeral example shows the practicality and effectiveness of the proposed method.

Key words: uncertain decision making, three-parameter interval numbers, entropy measure, TOPSIS

中图分类号:

N945

闫书丽, 刘思峰, 朱建军, 方志耕, 刘健. 基于熵测度的三参数区间数信息下的TOPSIS决策方法[J]. 中国管理科学, 2013, 21(6): 145-151.

YAN Shu-li, LIU Si-feng, ZHU Jian-jun, FANG Zhi-geng, LIU Jian. TOPSIS Decision-Making Method with Three-Parameter Interval Number Based on Entropy Measure[J]. Chinese Journal of Management Science, 2013, 21(6): 145-151.

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