期刊
EXPERT SYSTEMS WITH APPLICATIONS
卷 41, 期 5, 页码 2484-2495出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2013.09.048
关键词
Intuitionistic fuzzy sets; Interaction; Generalized intuitionistic fuzzy aggregation operators; Decision making
类别
资金
- 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, KJ2012Z055]
- 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]
Considering that there may exist some interactions between membership function and non-membership function of different intuitionistic fuzzy sets, we present some new operational laws from the probability point of view and give a geometric interpretation of the new operations. Based on which, a new class of generalized intuitionistic fuzzy aggregation operators are developed, including the generalized intuitionistic fuzzy weighted geometric interaction averaging (GIFWGIA) operator, the generalized intuitionistic fuzzy ordered weighted geometric interaction averaging (GIFOWGIA) operator and the generalized intuitionistic fuzzy hybrid geometric interaction averaging (GIFHGIA) operator. The properties of these new generalized aggregation operators are investigated. Moreover, approaches to multiple attributes decision making are given based on the generalized aggregation operators under intuitionistic fuzzy environment, and an example is illustrated to show the validity and feasibility of new approach. Finally, we give a systematic comparison between the work of this paper and that of other papers. (C) 2013 Elsevier Ltd. All rights reserved.
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