Journal
GROUP DECISION AND NEGOTIATION
Volume 21, Issue 4, Pages 519-530Publisher
SPRINGER
DOI: 10.1007/s10726-010-9224-4
Keywords
Vector similarity measure; Trapezoidal intuitionistic fuzzy number; Multicriteria group decision making
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Based on the extension of the Jaccard, Dice, and cosine similarity measures, three vector similarity measures between trapezoidal intuitionistic fuzzy numbers (TIFNs) are proposed in the vector space and are applied to the fuzzy multicriteria group decision-making problem, in which the criteria weights and the evaluated values in decision matrix are expressed by TIFNs. Through the weighted similarity measures between each alternative and the ideal alternative, the ranking order of all the alternatives can be determined and the best one(s) can be easily identified as well. A practical example of the developed approaches is given to select the investment alternatives. The decision results of different similarity measures demonstrate that the three similarity measures have better similarity identification. The illustrative example shows that the proposed methods are applicable.
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