Aggregation operators-based divergence measures for single-valued neutrosophic sets with their applications to pattern recognition

Article type: Research Article

Authors: Singh, Surender | Sharma, Sonam^{; *}

Affiliations: School of Mathematics, Faculty of Sciences, Shri Mata Vaishno Devi University, Katra, Jammu & Kashmir, India

Correspondence: [*] Corresponding author. Sonam Sharma. E-mail: 20dmt001@smvdu.ac.in.

Abstract: A Single-valued neutrosophic set (SVNS) has recently been explored as a comprehensive tool to assess uncertain information due to varied human cognition. This notion stretches the domain of application of the classical fuzzy set and its extended versions. Various comparison measures based on SVNSs like distance measure, similarity measure, and, divergence measure have practical significance in the study of clustering analysis, pattern recognition, machine learning, and computer vision-related problems. Existing measures have some drawbacks in terms of precision and exclusion of information and produce unreasonable results in categorization problems. In this paper, we propose a generic method to define new divergence measures based on common aggregation operators and discuss some algebraic properties of the proposed divergence measures. To further appreciate the proposed divergence measures, their application to pattern recognition has been investigated in conjunction with the prominent existing comparison measures based on SVNSs. The comparative assessment sensitivity analysis of the proposed measures establishes their edge over the existing ones because of appropriate classification results.

Keywords: Single-valued neutrosophic set, aggregation operator, pattern recognition, divergence measure

DOI: 10.3233/JIFS-232369

Journal: Journal of Intelligent & Fuzzy Systems, vol. 46, no. 4, pp. 9007-9020, 2024