Journal
INFORMATION SCIENCES
Volume 259, Issue -, Pages 142-159Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2013.08.018
Keywords
Intuitionistic fuzzy set; Probability non-membership (PN) function operator; Probability hetergeneous (PH) operator; Intuitionistic fuzzy geometric interaction averaging operator; Decision making
Categories
Funding
- National Natural Science Foundation of China [71071002, 71371011, 71301001]
- Higher School Specialized Research Fund for the Doctoral Program [20123401110001]
- Scientific Research Foundation of the Returned Overseas Chinese Scholars
- Anhui Provincial Natural Science Foundation [1308085QG127]
- 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]
- Natural Science Foundation of Anhui Provincial Higher School
- Foundation for the Young Scholar of Anhui University [2009QN022B]
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This paper proposes some new geometric operations on intuitionistic fuzzy sets (IFSs) based on probability non-membership (PN) function operator, probability membership (PM) function operator and probability hetergeneous (PH) operator, which are constructed from the probability point of view. The geometric interpretations of these operations are given. Moreover, we develop some intuitionistic fuzzy geometric interaction averaging (IFGIA) operators. The properties of these aggregation operators are investigated. The key advantage of the IFGIA operators is that the interactions between non-membership function and membership function of different IFSs are considered. Finally, an approach to multiple attributes decision making is given based on the proposed aggregation operators under intuitionistic fuzzy environment, and an example is illustrated to show the validity and feasibility of the proposed approach. (C) 2013 Elsevier Inc. All rights reserved.
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