期刊
INFORMATICA
卷 25, 期 4, 页码 617-642出版社
INST MATHEMATICS & INFORMATICS
DOI: 10.15388/Informatica.2014.32
关键词
multi-attribute decision making; interval-valued hesitant fuzzy set; hybrid operator; Shapley function
资金
- State Key Program of National Natural Science of China [71431006]
- Funds for Creative Research Groups of China [71221061]
- Projects of Major International Cooperation NSFC [71210003]
- National Natural Science Foundation of China [71201089, 71271217, 71201110, 71271029]
- National Science Foundation for Post-doctoral Scientists of China [2014M560655]
- Program for New Century Excellent Talents in University of China [NCET-12-0541]
- Natural Science Foundation Youth Project of Shandong Province, China [ZR2012GQ005]
With respect to interval-valued hesitant fuzzy multi-attribute decision making, this study first presents a new ranking method for interval-valued hesitant fuzzy elements. In order to obtain the comprehensive values of alternatives, two induced generalized interval-valued hesitant fuzzy hybrid operators based on the Shapley function are defined, which globally consider the importance of elements and their ordered positions as well as reflect the interactions between them. If the weight information is incompletely known, models for the optimal weight vectors on the attribute set and on the ordered set are respectively established. Furthermore, an approach to interval-valued hesitant fuzzy multi-attribute decision making with incomplete weight information and interactive characteristics is developed. Finally, an illustrative example is provided to show the concrete application of the proposed procedure.
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