Divergence measures for circular intuitionistic fuzzy sets and their applications. (November 2022)

• Record Type: Journal Article
• Authors: Khan, Muhammad Jabir; Kumam, Wiyada; Alreshidi, Nasser Aedh
• Is Part Of: Engineering applications of artificial intelligence. Volume 116(2022)
• Publication Date: 2022-11
• Subjects: Divergence measures -- Entropy measure -- Multi-criteria decision making problems -- Pattern recognition -- Circular intuitionistic fuzzy set -- Medical diagnosis; Engineering -- Data processing -- Periodicals; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Ingénierie -- Informatique -- Périodiques; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; Artificial intelligence; Engineering -- Data processing; Expert systems (Computer science); Periodicals; 620.00285
• DOI: 10.1016/j.engappai.2022.105455
• Languages: English
• ISSNs: 0952-1976

Abstract

Abstract: Circular Intuitionistic Fuzzy Set (C-IFS) is the real extension of the standard Intuitionistic Fuzzy Sets (IFS), where each element is represented by a circle instead of a single value. The divergence measures for fuzzy sets are used to find the discrimination between fuzzy sets. In this study, several divergence functions for C-IFSs are defined. The investigations verify that the divergence functions respect axiomatic properties to be divergence measures. Additional qualities of divergence measures are investigated to assure good performance. Also, the C-IF entropy and dissimilarity measures are explored. Divergence-based VIKOR ("VlseKriterijumska Optimizacija I Kompromisno Resenje" and in English "multi-criteria optimization and compromise solution") method for C-IFSs is extended and applied to the multi-criteria decision-making problems. In the end, pattern recognition and multi-period medical diagnosis problems are focused on. The numerical examples are provided to illustrate the debated methods. Highlights: Divergence measures of the newly proposed C-IFSs are developed theoretically. Entropy and dissimilarity measures are investigated. VIKOR method is established and applied to health care waste disposal problems. Pattern recognition and multi-period medical diagnosis problems are focused.