4.2 Article

INTUITIONISTIC FUZZY DECISION-MAKING WITH SIMILARITY MEASURES AND OWA OPERATOR

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021848851350013X

Keywords

Intuitionistic fuzzy set; interval-valued intuitionistic fuzzy set; similarity measures; OWA operator; group decision-making; consensus

Funding

  1. National Funds of Social Science of China [12ATJ001]
  2. Zhejiang Province Natural Science Foundation [LQ12G03010, Y6110777]
  3. Philosophy and social science planning projects of Zhejiang [12YD66YB]

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In this paper, we present a new intuitionistic fuzzy decision-making technique based on similarity measures and the ordered weighted average (OWA) operator. We develop the intuitionistic fuzzy ordered weighted similarity (IFOWS) measure. The main advantage of the IFOWS measure is that it can alleviate the influence of unduly large (or small) deviations on the aggregation results by assigning them low (or high) weights. Moreover, it provides a very general formulation that includes a wide range of aggregation similarity measures and aggregates the input arguments taking the form of intuitionistic fuzzy values rather than exact numbers. We further develop the interval-valued intuitionistic fuzzy ordered weighted similarity (IVIFOWS) measure. Then we apply the developed similarity measures for consensus analysis in group decision-making with intuitionistic fuzzy information. Finally, a practical case is used to illustrate the developed procedures.

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