Neutrosophic Multigroups and Applications

Vakkas Uluçay and Memet Şahin
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Vakkas Uluçay: Department of Mathematics, Gaziantep University, 27310 Gaziantep, Turkey
Memet Şahin: Department of Mathematics, Gaziantep University, 27310 Gaziantep, Turkey

Mathematics, 2019, vol. 7, issue 1, 1-17

Abstract: In recent years, fuzzy multisets and neutrosophic sets have become a subject of great interest for researchers and have been widely applied to algebraic structures include groups, rings, fields and lattices. Neutrosophic multiset is a generalization of multisets and neutrosophic sets. In this paper, we proposed a algebraic structure on neutrosophic multisets is called neutrosophic multigroups which allow the truth-membership, indeterminacy-membership and falsity-membership sequence have a set of real values between zero and one. This new notation of group as a bridge among neutrosophic multiset theory, set theory and group theory and also shows the effect of neutrosophic multisets on a group structure. We finally derive the basic properties of neutrosophic multigroups and give its applications to group theory.

Keywords: neutrosophic sets; neutrosophic multisets; neutrosophic multigroups; neutrosophic multisubgroups (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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