Journal
COGNITIVE COMPUTATION
Volume 8, Issue 1, Pages 52-68Publisher
SPRINGER
DOI: 10.1007/s12559-015-9340-1
Keywords
Multi-attribute decision making; Linguistic interval hesitant fuzzy set; Aggregation operator; Distance measure
Funding
- 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, 71201110, 71271217, 71271029]
- National Science Foundation for Post-doctoral Scientists of China [2014M560655]
- Program for New Century Excellent Talents in University of China [NCET-12-0541]
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To cope with the hesitancy and uncertainty of the decision makers' cognitions to decision-making problems, this paper introduces a new type of fuzzy sets called linguistic interval hesitant fuzzy sets. A linguistic interval hesitant fuzzy set is composed of several linguistic terms with each one having several interval membership degrees. Considering the application of linguistic interval hesitant fuzzy sets in decision making, an ordered relationship is offered, and several operational laws are defined. After that, several aggregation operators based on additive and fuzzy measures are introduced, by which the comprehensive attribute values can be obtained. Based on the defined distance measure, models for the optimal weight vectors are constructed. In addition, an approach to multi-attribute decision making with linguistic interval hesitant fuzzy information is developed. Finally, two numerical examples are provided to show the concrete application of the procedure.
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