On some similarity measures and entropy on quadripartitioned single valued neutrosophic sets

Article type: Research Article

Authors: Chatterjee, Rajashi^{a; *} | Majumdar, P.^b | Samanta, S.K.^a

Affiliations: [a] Department of Mathematics, Visva-Bharati, Santiniketan, West Bengal, India | [b] Department of Mathematics, M.U.C. Women’s College, Burdwan, West Bengal, India

Correspondence: [*] Corresponding author. Rajashi Chatterjee, Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Bengal, India. Tel.: +91 9933403983; E-mail: rajashi.chatterjee@gmail.com.

Abstract: A notion of Quadripartitioned Single Valued Neutrosophic Sets (QSVNS) is introduced and a theoretical study on various set-theoretic operations on them has been carried out. The definitions of distance, similarity measure and entropy have been proposed. Finally an application of the proposed similarity measure in a problem pertaining to pattern recognition has been shown.

Keywords: Single valued neutrosophic sets, quadripartitioned single valued neutrosophic sets, similarity measure, entropy

DOI: 10.3233/IFS-152017

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 4, pp. 2475-2485, 2016