Ranking Triangular Intuitionistic Fuzzy Numbers: A Nagel Point Approach and Applications in Multi-Criteria Decision-Making

Abstract

Ordinary fuzzy sets, first introduced by Zadeh in 1965 [1], have been expanded into several varieties, including type 2 fuzzy, intuitionistic fuzzy, hesitant fuzzy, and others, to assist us in modeling uncertainty. For every element in an Intuitionistic Fuzzy Set (IFS), there are membership and non-membership functions. Intuitionistic Fuzzy Numbers (IFNs) play a vital role in many applications. In this paper, a new ranking approach for IFNs was done based on Nagel points. The proposed new ranking was validated by certain results and numerical examples. In the last section, we put the suggested ranking principle into practice for the installation of an aeronautical research organization center through a case study.