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

摘要

The objective of the presented paper is to develop a multiattribute decision-making (MADM) method under the intuitionisticfuzzy set (IFS) environment using the set pair analysis (SPA) theory. IFS can express the uncertain information in terms ofmembership grades, while the connection number (CN) based on the “identity,” “discrepancy” and “contrary” degrees of theSPA theory handles the uncertainties and certainties systems.Meanwhile, capturing the relationship between the values duringthe aggregation is a prominent advantage of the power aggregation operator. Motivated by these primary characteristics, inthis paper, we develop some power geometric aggregation operators namely for aggregating the CNs, namely, CN powergeometric, CN weighted power geometric and CN ordered weighted power geometric operators. A few properties likeidempotency, 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 issuesunder the intuitionistic fuzzy numbers environment. Finally, real-life case ofMADM problem has been discussed to manifestthe developed DM approach, and obtained results are compared with the results that are obtained by the existing DMmethodsfor showing the feasibility and validity of the developed DM approach.