Abstract
In this paper, we studied some properties of the neutrosophic multi topological group. For this, we introduced the definition of semi-open neutrosophic multiset, semi-closed neutrosophic multiset, neutrosophic multi regularly open set, neutrosophic multi regularly closed set, neutrosophic multi continuous mapping, and then studied the definition of a neutrosophic multi topological group and some of their properties. Moreover, since the concept of the almost topological group is very new, we introduced the definition of neutrosophic multi almost topological group. Finally, for the purpose of symmetry, we used the definition of neutrosophic multi almost continuous mapping to define neutrosophic multi almost topological group and study some of its properties.
Highlights
Following the introduction of the fuzzy set (FS) [1], a variety of studies on generalisations of FS concepts were performed
We developed the definitions of neutrosophic multi semi-open set (NMSOS), neutrosophic multi semi-closed set (NMSCoS), neutrosophic multi regularly open set (NMROS), neutrosophic multi regularly closed set (NMRCoS), neutrosophic multi continuous mapping (NMCM), neutrosophic multi open mapping (NMOM), neutrosophic multi-closed mapping (NMCoM), neutrosophic multi semi-continuous mapping (NMSCM), neutrosophic multi semi-open mapping (NMSOM), neutrosophic multi semi-closed mapping (NMSCoM) to propose the definition of neutrosophic multi almost topological group (NMATG)
We defined NMATG and demonstrated some of their properties using the definition of neutrosophic multi almost continuous mapping (NMACM)
Summary
Bhimraj Basumatary 1,*, Nijwm Wary 1 , Dimacha Dwibrang Mwchahary 2, Ashoke Kumar Brahma 3, Jwngsar Moshahary 4, Usha Rani Basumatary 1 and Jili Basumatary 1. Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations
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