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Extension of VIKOR method for decision making problem based on hesitant fuzzy set

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成果类型:
期刊论文
作者:
Nian Zhang;Guiwu Wei
通讯作者:
Zhang, Nian
作者机构:
[Nian Zhang] Southwest Jiaotong Univ, Dept Econ & Management, Chengdu 610031, Sichuan, Peoples R China.
[Guiwu Wei] Chongqing Univ Arts & Sci, Sch Econ & Management, Chongqing 402160, Peoples R China.
通讯机构:
[Zhang, Nian] Southwest Jiaotong Univ, Dept Econ & Management, Chengdu 610031, Sichuan, Peoples R China.
语种:
英文
关键词:
Multiple criteria decision making;E-VIKOR method;TOPSIS method;Group utility;Individual regret
期刊:
Applied Mathematical Modelling
ISSN:
0307-904X
年:
2013
卷:
37
期:
7
页码:
4938-4947
文献类别:
WOS:Article
所属学科:
ESI学科类别:工程学;WOS学科类别:Engineering, Multidisciplinary;Mathematics, Interdisciplinary Applications;Mechanics
入藏号:
基金类别:
National Natural Science Foundation of China [61174149]; Natural Science Foundation Project of CQ CSTC of the People's Republic of China (CSTC) [2011BA0035]
机构署名:
本校为第一且通讯机构
院系归属:
经济管理学院
摘要:
The multiple criteria decision making (MCDM) methods VIKOR and TOPSIS are all based on an aggregating function representing "closeness to the ideal", which originated in the compromise programming method. The VIKOR method of compromise ranking determines a compromise solution, providing a maximum "group utility" for the "majority" and a minimum of an "individual regret" for the "opponent", which is an effective tool in multi-criteria decision making, particularly in a situation where the decision maker is not able, or does not know to express his/her preference at the beginning of system design. The TOPSIS method determines a solution with the shortest distance to the ideal solution and the greatest distance from the negative-ideal solution, but it does not consider the relative importance of these distances. And, the hesitant fuzzy set is a very useful tool to deal with uncertainty, which can be accurately and perfectly described in terms of the opinions of decision makers. In this paper, we develop the E-VIKOR method and TOPSIS method to solve the MCDM problems with hesitant fuzzy set information. Firstly, the hesitant fuzzy set information and corresponding concepts are described, and the basic essential of the VIKOR method is introduced. Then, the problem on multiple attribute decision marking is described, and the principles and steps of the proposed E-VIKOR method and TOPSIS method are presented. Finally, a numerical example illustrates an application of the E-VIKOR method, and the result by the TOPSIS method is compared. (C) 2012 Elsevier Inc. All rights reserved.
参考文献:
Atanassov K, 1999, INTUITIONISTIC FUZZY
ATANASSOV KT, 1989, FUZZY SET SYST, V33, P37, DOI 10.1016/0165-0114(89)90215-7
Chamodrakas I, 2011, APPL SOFT COMPUT, V11, P900, DOI 10.1016/j.asoc.2010.01.010
Chen LY, 2009, INT J PROD ECON, V120, P233, DOI 10.1016/j.ijpe.2008.07.022
Chen S.-J., 1992, FUZZY MULTIPLE ATTRI

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