一种基于TOPSIS的混合型多属性群决策方法

Abstract

Abstract: A new TOPSIS decision making approach is proposed for hybrid multi-attribute group decision making problem with linguistic information and intuitionistic fuzzy values. Firstly, A new conversion function is defined to transfer multi-granularity linguistic information into intuitionistic fuzzy numbers. Then, based on the theory of intuitionistic fuzzy value entropy, a model is established to judge the expert’s weight. Next, Intuitionistic fuzzy weighted averaging (IFWA) operator is utilized to aggregate individual opinions of decision makers, and TOPSIS is used to rank alternatives. Finally, an example for ERP selection is given to illustrate the effectiveness of intuitionistic fuzzy TOPSIS method.

Key words: group decision-making, linguistic evaluation, intuitionistic fuzzy value, entropy, TOPSIS

CLC Number:

C934

LIANG Chang-yong, QI Xiao-wen, DING Yong, LENG Ya-jun. A Hybrid Multi-Criteria Group Decision Making with TOPSIS Method[J]. Chinese Journal of Management Science, 2012, (4): 109-117.

References

[1] Atanassov K. Intuitionistic fuzzy sets [J]. Fuzzy Sets and Systems, 1986, 20: 87-96.
[2] Zadeh L A. Fuzzy Sets [J]. Information and Control, 1965, 8: 338-353.
[3] Atanassov V, Georgiev C. Intuitionistic fuzzy prolog [J]. Fuzzy Sets and Systems, 1993,53: 121-128.
[4] Chen S M, Tan J M. Handing multicriteria fuzzy decision-making problems based on vague set theory [J]. Fuzzy Sets and Systems, 1994, 67: 163-172.
[5] Atanassov K, Pasi G, Yager R R. Intuitionistic fuzzy interpretations of multi-criteria multi-person and multi-measurement tool decision-making [J]. International Journal of Systems Science, 2005,36: 859-868.
[6] Hong D H, Choi C H. Multicriteria fuzzy decision-making problems based on vague set theory [J]. Fuzzy Sets and Systems, 2000,114: 103-113.
[7] De S K, Bisnas R, Royi A R. An application of intuitionistic fuzzy sets in medical diagnosis [J]. Fuzzy Sets and Systems, 2001, 117: 209-213.
[8] Li Dengfeng, Cheng Chuntian. New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions [J]. Pattern Recognition Letters, 2002, 23: 221-225.
[9] Herrera-Viedma E, Martinez L, Mata F. A consensus support system model for group decision-making problems with multi-granular linguistic preference relations [J]. IEEE Transactions on Fuzzy Systems, 2005,13: 644-658.
[10] Jiang Y P, Fan Z P, Ma J. A method for group decision making with multi-granularity linguistic assessment information [J]. Information Sciences, 2008,178: 1098-1109.
[11] Herrera F, Martinez L A. A model based on linguistic 2-tuple for dealing with multi-granularity hierarchical linguistic contexts in multi-expert decision-making [J]. IEEE Transactions on Systems, Man, and Cybemetics, 2001, 31: 227-234.
[12] Herrera F, Martinez L. A 2-tuple fuzzy linguistic representation model for computing with words [J]. IEEE Transactions on Fuzzy Systems, 2000, 8: 746-754.
[13] 王欣荣, 樊治平, 基于二元语义信息处理的一种语言群决策方法 [J]. 管理科学学报, 2003, 6: 1-5.
[14] Xu Zeshui, Chen Jian. An interactive method for fuzzy multiple attribute group decision making [J]. Information Sciences, 2007, 177: 248-263.
[15] 徐泽水. 基于语言标度中术语指标的多属性群决策法 [J]. 系统工程学报, 2005, 2: 84-88.
[16] Zhao H, Xu Z S, Ni M F, Cui F. Hybrid fuzzy multiple attribute decision making [J]. Information, 2009, 12: 1033-1044.
[17] Wang Zhoujing, Li K W, Wang Weize. An approach to multiattribute decision making with interval-valued intuitionisitc fuzzy assessments and incomplete weights [J]. Information Sciences, 2009, 179: 3026-3040.
[18] Xu Zeshui, Chen Jian. An interactive method for fuzzy multiple attribute group decision making [J]. Information Sciences, 2007, 177: 248-263.
[19] Kim S H, Choi J K. An interactive procedure for multiple attribute group decision making with incomplete information:range based approach [J]. European Journal of Operational Research, 1999,118: 139-152.
[20] Park K S. Mathematical programming models for charactering dominance and potential optimality when multi-criteria alternative values and weights are simultaneously incomplete [J]. IEEE Transactions on Fuzzy Systems, Man, and Cybernetics, Part A: Systems and Humans, 2004, 34: 601-604.
[21] 徐泽水. 区间直觉模糊信息的集成方法及其在决策中的应用 [J]. 控制与决策, 2007,22: 215-219.
[22] 徐泽水. 直觉模糊偏好信息下的多属性决策途径 [J]. 系统工程理论与实践, 2007, 27: 62-71.
[23] Xu Zeshui. Intuitionistic fuzzy aggregation operators, IEEE Transactions on Fuzzy Systems, 2007, 15: 1179-1187.
[24] Kumar D S, Ranjit B, Ranjan R A. Some operations on intuitionistic fuzzy sets [J]. Fuzzy Sets and Systems, 2000,114: 447-484.
[25] Szmidt E, Kacprzyk J. A similarity measure for intuitionistic fuzzy sets and its application in supporting medical diagnostic reasoning [J]. Lecture Notes in Artificial Intelligence, 2004,3070: 388-393.
[26] Zhang Hongying, Zhang Wenxin, Mei Changjin. Entropy of interval-valued fuzzy sets based on distance and its relationship with similarity measure [J]. Knowledge-Based Systems, 2009, 22: 449-454.

A Hybrid Multi-Criteria Group Decision Making with TOPSIS Method

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