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Distance measures between type-2 intuitionistic fuzzy sets and their application to multicriteria decision-making process

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Abstract

Type-2 fuzzy set (T2FS) is a generalization of the ordinary fuzzy set in which the membership value for each member of the set is itself a fuzzy set. However, it is difficult, in some situations, for the decision-makers to give their preferences towards the object in terms of single or exact number. For handling this, a concept of type-2 intuitionistic fuzzy set (T2IFS) has been proposed and hence under this environment, a family of distance measures based on Hamming, Euclidean and Hausdorff metrics are presented. Some of its desirable properties have also been investigated in details. Finally, based on these measures, a group decision making method has been presented for ranking the alternatives. The proposed measures has been illustrated with a numerical example.

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Authors and Affiliations

  1. School of Mathematics, Thapar University, Patiala, 147004, Punjab, India

    Sukhveer Singh & Harish Garg

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  1. Sukhveer Singh
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  2. Harish Garg
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Correspondence to Harish Garg.

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Singh, S., Garg, H. Distance measures between type-2 intuitionistic fuzzy sets and their application to multicriteria decision-making process. Appl Intell 46, 788–799 (2017). https://doi.org/10.1007/s10489-016-0869-9

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  • DOI: https://doi.org/10.1007/s10489-016-0869-9

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