An approach to neutrosophic subgroup and its fundamental properties

Article type: Research Article

Authors: Çetkin, Vildan^* | Aygün, Halis

Affiliations: Department of Mathematics, Kocaeli University, Umuttepe Campus, Kocaeli, Turkey

Correspondence: [*] Corresponding author. Vildan Çetkin, Department of Mathematics, Kocaeli University, Umuttepe Campus, 41380, Kocaeli, Turkey. Tel.: +90 262 303 2122; Fax: +90 262 303 2003; E-mail: vcetkin@gmail.com.

Abstract: In this paper, we examine the group structure of single valued neutrosophic sets. We introduce an approach to neutrosophic subgroup and establish some of its basic properties and characterizations. Then we give the homomorphic image and preimage of a neutrosophic (normal) subgroup.

Keywords: Neutrosophic set, single valued neutrosophic set, group, normal group, homomorphism

DOI: 10.3233/IFS-151672

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 5, pp. 1941-1947, 2015