Power Geometric Aggregation Operators Based on Connection Number of Set Pair Analysis Under Intuitionistic Fuzzy Environment

Abstract

The objective of the presented paper is to develop a multiattribute decision-making (MADM) method under the intuitionistic fuzzy set (IFS) environment using the set pair analysis (SPA) theory. IFS can express the uncertain information in terms of membership grades, while the connection number (CN) based on the “identity,” “discrepancy” and “contrary” degrees of the SPA theory handles the uncertainties and certainties systems. Meanwhile, capturing the relationship between the values during the aggregation is a prominent advantage of the power aggregation operator. Motivated by these primary characteristics, in this paper, we develop some power geometric aggregation operators namely for aggregating the CNs, namely, CN power geometric, CN weighted power geometric and CN ordered weighted power geometric operators. A few properties like idempotency, commutativity and boundedness are established to show the viability and legitimacy of developed operators. Afterward, we develop a decision-making (DM) approach based on the proposed operators for tackling the MADM issues under the intuitionistic fuzzy numbers environment. Finally, real-life case of MADM problem has been discussed to manifest the developed DM approach, and obtained results are compared with the results that are obtained by the existing DM methods for showing the feasibility and validity of the developed DM approach.