Distance measures for connection number sets based on set pair analysis and its applications to decision-making process

Connection number (CN) is one of the key features of a set pair analysis (SPA) theory to describe uncertainties in terms of three degrees, namely “identity”, “discrepancy” and “contrary”. In the present manuscript, the work has been done under environment of the intuitionistic fuzzy set, and some axioms of the distance measures based on Hamming, Euclidean, and Hausdorff metrics have been proposed whose preferences related to the attributes are made in the form of CN. Their desirable relations have also been investigated. Furthermore, based on these measures, an approach to investigating the decision-making problem has been presented. The effectiveness of the approach has been demonstrated through a case study. The comparative study as well as the advantages of the proposed measures over the existing measures has been presented.

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