Connection number of set pair analysis based TOPSIS method on intuitionistic fuzzy sets and their application to decision making

Intuitionistic fuzzy set plays a significant role to handle the uncertainties in the data during the decision-making process. Keeping the advantage of it in mind, an attempt has been made in the present article for rating the different preferences of the object based on the set pair analysis (SPA). For this, a major component of SPA, known as a connection number, has been constructed based on the preference values and the comprehensive ideal values of the object. An extension of TOPSIS method is further developed, based on the proposed connection number of SPA, to calculate relative-closeness of sets of alternatives which are used to generate the ranking order of the alternatives. A real example is taken to demonstrate the applicability and validity of the proposed methodology.