Journal
APPLIED MATHEMATICAL MODELLING
Volume 36, Issue 9, Pages 4466-4472Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.11.075
Keywords
Interval-valued intuitionistic fuzzy set; Reduct intuitionistic fuzzy set; Dice similarity measure; Multicriteria decision making
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This paper proposes the concept of the reduct intuitionistic fuzzy sets of interval-valued intuitionistic fuzzy sets (IVIFSs) with respect to adjustable weight vectors and the Dice similarity measure based on the reduct intuitionistic fuzzy sets to explore the effects of optimism, neutralism, and pessimism in decision making. Then a decision-making method with the pessimistic, optimistic, and neutral schemes desired by the decision maker is established by combining adjustable weight vectors and the Dice similarity measure for IVIFSs. The proposed decision-making method is more flexible and adjustable in practical problems and can determine the ranking order of alternatives and the optimal one(s), so that it can overcome the difficulty of the ranking order and decision making when there exist the same measure values of some alternatives in some cases. This adjustable feature can provide the decision maker with more selecting schemes and actionable results for the decision-making analysis. Finally, two illustrative examples are employed to show the feasibility of the proposed method in practical applications. (C) 2011 Elsevier Inc. All rights reserved.
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