IJNS 2021
DOI: 10.54216/ijns.170104
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Neutrosophic Bi-topological Group

Abstract: Neutrosophic topological groups are neutrosophic groups in an algebraic sense together with neutrosophic continuous group operations. In this article, we have presented neutrosophic bi-topological groups with illustrative examples. We have also defined eight new models of neutrosophic bi-topological groups. Neutrosophic bi-topological group that depends on two neutrosophic topologies group is more general than the neutrosophic topological group. Finally, Some basic properties of neutrosophic bi-topological gro… Show more

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Cited by 4 publications
(4 citation statements)
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“…Cardona, Arango et al (2017) analysed the frequency distribution profile of the deceased, death rates per hundred thousand inhabitants, potential years of life lost, and excess mortality among those over 60. Hamido, Hamamoto et al (2021) used the chi-squared test and Mann-Whitney U test to investigate the characteristics of truck driver safety in an ageing society.…”
Section: Discussionmentioning
confidence: 99%
“…Cardona, Arango et al (2017) analysed the frequency distribution profile of the deceased, death rates per hundred thousand inhabitants, potential years of life lost, and excess mortality among those over 60. Hamido, Hamamoto et al (2021) used the chi-squared test and Mann-Whitney U test to investigate the characteristics of truck driver safety in an ageing society.…”
Section: Discussionmentioning
confidence: 99%
“…Also, Sumathi et al in [18] defined the concept of "neutrosophic topological groups". After this study, R. Al-Hamido, in 2021, in [19] studied neutrosophic bi-topological groups, and investigate its basic properties. F. Smarandache in [20] in 2019, generalized "Algebraic Structures" to "NeutroAlgebraic Structures" (whose "axioms" and"operations" are (partially true, partially indeterminate, and partially falseg) ).…”
Section: Introductionmentioning
confidence: 99%
“…Neutrosophy, as a new kind of generalized logic that deals with indeterminacy in nature, reality, and the human mind, found its way into pure mathematics. A lot of neutrosophic algebraic structures were defined and studied in a wide range such as neutrosophic topological groups and sets [1,2], neutrosophic rings, neutrosophic graphs and homomorphisms [3,4], and neutrosophic vector spaces [5,6].…”
Section: Introductionmentioning
confidence: 99%