A Novel Ranking Approach to Rank Interval-Valued Trapezoidal Intuitionistic Fuzzy Sets by Using the Concept of Centroids

• Published in: SN computer science Vol. 5; no. 5; p. 493
• Main Authors: Kodukulla, S. N. Murty, Sireesha, V.
• Format: Journal Article
• Language: English
• Published: Singapore Springer Nature Singapore 01.06.2024; Springer Nature B.V
• Subjects: Accuracy; Centroids; Computer Imaging; Computer Science; Computer Systems Organization and Communication Networks; Data Structures and Information Theory; Decision analysis; Decision making; Deep learning; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Information Systems and Communication Service; Literature reviews; Methods; Ontology; Original Research; Pattern Recognition and Graphics; Performance prediction; Ranking; Ratings & rankings; Real numbers; Software Engineering/Programming and Operating Systems; Systems analysis; Vision; Centroid; Ranking of interval-valued intuitionistic trapezoidal fuzzy set (IVTrIFS); Intuitionistic fuzzy set (IFS)
• ISSN: 2661-8907; 2662-995X; 2661-8907
• DOI: 10.1007/s42979-024-02861-x

An Interval-valued trapezoidal intuitionistic fuzzy set (IVTrIFS) is a powerful tool for modelling uncertainty. The ranking of IVTrIFSs plays a vital role in fuzzy set theory to compare and analyze the given information. An IVTrIFS is a special type of Intuitionistic Fuzzy Set (IFS) and interval-valued intuitionistic fuzzy set (IVIFS) with a consecutive domain of real numbers. In this paper, we analyzed many ranking methods based on various Fuzzy logic techniques and proposed a new ranking method from geometric point of view, the expectation and expectant score function of an IVTrIFS from the concept of centroids of the membership function, non-membership function, and hesitancy function. The comparative results show that the proposed method is innate and effective, very useful to the applications of computational Intelligence, decision-making, predictive system analysis, and performance analysis.