A Ranking Method of Triangular Intuitionistic Fuzzy Numbers and Application to Decision Making

被引：0
|
作者：
Li D.F. [1 ]
Nan J.X. [2 ]
Zhang M.J. [3 ]
机构：
[1] School of Management, Fuzhou University, No. 523, Industry Road, Fujian, Fuzhou
[2] College of Information Engineering, Dalian University, Liaoning, Dalian
[3] Department of Economics, Dalian University of Technology, Liaoning, Dalian
来源：
International Journal of Computational Intelligence Systems | 2010年 / 3卷 / 5期
关键词：
intuitionistic fuzzy set; multiattribute decision making; ranking of triangular intuitionistic fuzzy numbers; Triangular intuitionistic fuzzy number;
D O I：
10.2991/ijcis.2010.3.5.2
中图分类号：
学科分类号：
摘要：
Ranking of triangular intuitionistic fuzzy numbers (TIFNs) is an important problem, which is solved by the value and ambiguity based ranking method developed in this paper. Firstly, the concept of TIFNs is introduced. Arithmetic operations and cut sets over TIFNs are investigated. Then, the values and ambiguities of the membership degree and the non-membership degree for TIFNs are defined as well as the value-index and ambiguity-index. Finally, a value and ambiguity based ranking method is developed and applied to solve multiattribute decision making problems in which the ratings of alternatives on attributes are expressed using TIFNs. A numerical example is examined to demonstrate the implementation process and applicability of the method proposed in this paper. Furthermore, comparison analysis of the proposed method is conducted to show its advantages over other similar methods. © 2010, the authors.
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页码：522 / 530
页数：8
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