期刊
APPLIED SOFT COMPUTING
卷 27, 期 -, 页码 64-76出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.asoc.2014.10.039
关键词
Multi-attribute decision making; Intuitionistic fuzzy sets; Neutrality operation; Scalar neutrality operation; Intuitionistic fuzzy weighted neutral operators
资金
- National Natural Science Foundation of China [71225006, 71371011, 71301001]
- Higher School Specialized Research Fund for the Doctoral Program [20123401110001]
- Anhui Provincial Natural Science Foundation [1308085QG127]
- Anhui Province
- Provincial Natural Science Research Project of Anhui Colleges [KJ2012A026]
- Humanity and Social Science Youth Foundation of Ministry of Education [13YJC630092]
- Humanities and Social Science Research Project of Department of Education of Anhui Province [SK2013B041]
- Anhui Provincial Philosophy and Social Science Planning Youth Foundation [AHSKQ2014D13]
In this paper, we construct the probability sum (PS) function and the proportional distribution rules of membership function and non-membership function of intuitionistic fuzzy sets (IFSs), and give their corresponding geometric interpretations. Based on which, we present the neutrality operation and the scalar neutrality operation on intuitionistic fuzzy numbers (IFNs). We propose the intuitionistic fuzzy weighted neutral averaging (IFWNA) operator and the intuitionistic fuzzy ordered weighted neutral averaging (IFOWNA) operator. The properties of the IFWNA operator and the IFOWNA operator are investigated. The principal advantages of the proposed operators are that both the attitude of the decision makers and the interactions between different intuitionistic fuzzy numbers (IFNs) are considered. Furthermore, approaches to multi-criteria decision making based on the proposed IFWNA and IFOWNA operator are given. Finally, an example is illustrated to show the feasibility and validity of the new approaches to the application of decision making. (C) 2014 Elsevier B.V. All rights reserved.
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