期刊
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
卷 29, 期 4, 页码 1251-1263出版社
IOS PRESS
DOI: 10.3233/IFS-131069
关键词
Multi-attribute group decision making; uncertain aggregation operator; lambda-fuzzy measure; Shapley function
资金
- National Natural Science Foundation of China [71201089, 71201110, 27127117, 71271029]
- Funds for Creative Research Groups of China [71221061]
- Projects of Major International Cooperation NSFC [71210003]
- Natural Science Foundation Youth Project of Shandong Province, China [ZR2012GQ005]
- Specialized Research Fund for Doctoral Program of Higher Education [20111101110036]
- Program for New Century Excellent Talents in University of China [NCET-12-0541]
This paper studies some uncertain generalized aggregation operators based on the Shapley function, two of which are named the uncertain induced generalized Shapley averaging (UIGSA) operator and the uncertain induced generalized hybrid Shapley averaging (UIGHSA) operator. These two operators consider the interactive characteristics between elements and that of their ordered positions. Meanwhile, some important cases and desirable properties are studied. To simplify the complexity of solving a fuzzy measure, the uncertain induced generalized lambda-Shapley averaging (UIG lambda SA) operator and the uncertain induced generalized hybrid lambda-Shapley averaging (UIGH lambda SA) operator based on lambda-fuzzy measures are presented. Finally, two new approaches to uncertain multi-attribute group decision making are developed, and a numerical example is provided to illustrate the proposed procedures.
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