Neutrosophic Multigroups and Applications

Mathematics

Memet Şahin¹  Vakkas Uluçay¹  Derya Bakbak² 

[1] Department of Mathematics, Gaziantep University, 27310 Gaziantep, Turkey;TBMM Public Relations Building 2nd Floor, B206 Room Ministries, 06543 Ankara, Turkey;

关键词: neutrosophic sets;    neutrosophic multisets;    neutrosophic multigroups;    neutrosophic multisubgroups;   

DOI  :  10.3390/math7010095

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown