Journal
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 29, Issue 1, Pages 293-305Publisher
IOS PRESS
DOI: 10.3233/IFS-151595
Keywords
Multiple criteria decision making; TODIM; hesitant fuzzy set; prospect theory; Choquet integral
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Funding
- Funds for Creative Research Groups of China [71221061]
- NSFC [71210003]
- State Key Program of NSFC [71431006]
- National Natural Science Foundation of China [71271217, 71371190]
- Program for New Century Excellent Talents in University of China [NCET-12-0541]
- Fundamental Research Funds for the Central Universities [N130506001]
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As a kind of behavior decision-making theory, TODIM (an acronym in Portuguese of interactive and multicriteria decision making (MCDM)) method has received more attention, in which the criteria values are in the format of crisp numbers. It can't be used to handle uncertain MCDM problems. In this paper, an extended Choquet-based TODIM method is proposed to solve the hesitant fuzzy MCDM problems, where interactive phenomena among criteria are also considered. First, according to fuzzy measure, the interactive criteria weight is measured by Shapley value. Then the prospect value of criteria for every alternative is calculated through prospect value function of the hesitant fuzzy set. Further, the dominance degree of each alternative over the others is calculated by Choquet integral, the global value of each alternative can be obtained to rank the alternatives. Finally, an illustrate example is given to illustrates the application of the novel method where the influence on decision making for different parameters of value function and different decision-making reference point is discussed.
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