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浙江大学学报（理学版）
浙江大学学报（理学版）  2017, Vol. 44 Issue (2): 174-180    DOI: 10.3785/j.issn.1008-9497.2017.02.009
数学与计算机科学     
基于区间数的直觉模糊多属性决策研究
段传庆1,2
1. 合肥工业大学 管理学院, 安徽 合肥 230009;
2. 合肥工业大学 数学学院, 安徽 合肥 230009
Intuitionistic fuzzy multiple attribute decision making based on interval numbers
DUAN Chuanqing1,2
1. School of Business Administration, Hefei University of Technology, Hefei 230009, China;
2. School of Mathematics, Hefei University of Technology, Hefei 230009, China
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摘要： 研究一类属性权重未知的直觉模糊多属性决策问题.将直觉模糊数的属性值转由双区间数表示，根据决策方案属性值间的离差确定属性权重.根据各方案属性加权综合值及区间直觉模糊数的得分函数，对2套方案分别进行排序和比较，并通过实例说明了该方法的有效性.
关键词： 直觉模糊数;  区间数;  多属性决策;  权重    
Abstract: This paper discusses the multiple attribute decision making problems, in which the information about attribute weights is totally unknown and the attribute values are expressed by intuitionistic fuzzy sets. Two interval numbers are used to take the place of attribute values. A new method is proposed to gain the weights of the attributes based on the deviations between the values of the attributes. We make the ranking of projects by the weighted comprehensive values of all projects and the score function of interval-valued intuitionistic fuzzy numbers, respectively, and then compared with the results of the two methods. Finally,an illustrative example is given to verify the effectiveness of the method.
Key words: intuitionistic fuzzy number    interval number    multiple attribute decision making    entropy
收稿日期: 2016-05-19 出版日期: 2017-07-08
CLC:  C934  
基金资助: 中央高校基本科研业务费专项资金资助（J2014HGXJ0080）.
作者简介: 段传庆(1978-),ORCID:http://orcid.org/0000-0002-3096-3479,男,博士,讲师,主要从事决策分析研究,E-mail:dcqhn@126.com.
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引用本文:

段传庆. 基于区间数的直觉模糊多属性决策研究[J]. 浙江大学学报（理学版）, 2017, 44(2): 174-180.

DUAN Chuanqing. Intuitionistic fuzzy multiple attribute decision making based on interval numbers. Journal of ZheJIang University(Science Edition), 2017, 44(2): 174-180.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2017.02.009    或    https://www.zjujournals.com/sci/CN/Y2017/V44/I2/174

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