Volume 5, Number 2 (2022)-Table of Contents
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Properties of strongly pre-open sets in ideal nano topological spaces
Annals of Communications in Mathematics 2022
, 5 (2)
, 74-79
DOI: https://doi.org/10.62072/acm.2022.050201
AbstractAim of this article, Rajasekaran [11] introduced strongly pre-I-open sets and in nano topological spaces. The relationships of strongly pre-nI-open sets with various other nano RI -set and nano I-locally closed sets are investigated.
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Some perfect sets in ideal nano topological spaces
Annals of Communications in Mathematics 2022
, 5 (2)
, 74-79
DOI: https://doi.org/10.62072/acm.2022.050202
AbstractWe introduce the notions of nano L*-perfect, nano R*-perfect, and nano C*-perfect sets in ideal nano spaces and study their properties. We obtained a characterization for compatible ideals via nano R*-perfect sets and and investigate further their important properties
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Pythagorean Q-anti neutrosophic ideals in gamma semigroup
Annals of Communications in Mathematics 2022
, 5 (2)
, 88-96
DOI: https://doi.org/10.62072/acm.2022.050203
AbstractIn this article, we define the concept of Pythagorean Q-anti neutrosophic ideal in gamma semigroup, Pythagorean Q-anti neutrosophic bi-ideal in gamma semigroup, and Pythagorean Q-anti neutrosophic interior ideal in gamma semigroup. We have illustrated the definition with an example. We have shown that Pythagorean Q- anti neutrosophic bi-ideal is a fuzzy bi-ideal and Pythagorean Q-anti neutrosophic ideal is a Pythagorean Q-anti neutrosophic interior ideal. Also, we have established some of its properties in detail.
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A new view on (2,2)-regular AG groupoid via DFS sets with applications
Annals of Communications in Mathematics 2022
, 5 (2)
, 97-120
DOI: https://doi.org/10.62072/acm.2022.050204
AbstractIn this paper, we study DFS left (right, two-sided) ideals, DFS (generalized) bi-ideals, DFS interior ideals and DFS (1, 2)-ideals of (2,2)-regular AG–Groupoid over an initial universe set U. We have shown that these DFS ideals are coincides in a (2,2)-regular unitary AG–Groupoid. Further we investigate some useful conditions for an AG–Groupoid to become a (2,2)-regular AG–Groupoid and characterize a (2,2)-regular AG–Groupoid in terms of DFS ideals. Finally we apply DFS expert sets to develop a decision making scheme for everyday problems.
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On rarely fuzzy Irw-continuous functions
Annals of Communications in Mathematics 2022
, 5 (2)
, 121-126
DOI: https://doi.org/10.62072/acm.2022.050205
AbstractIn this paper, we introduce the concepts of rarely fuzzy Irw-continuous functions in fuzzy topological spaces. Some interesting properties and characterizations of them are investigated. Also, some applications to fuzzy compact spaces are established.
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Neutrosophic regular semi compactness and connectedness
Annals of Communications in Mathematics 2022
, 5 (2)
, 127-137
DOI: https://doi.org/10.62072/acm.2022.050206
AbstractIn this paper, we introduce the concept of neutrosophic regular semi compactness, neutrosophic regular semi connectedness, neutrosophic regular semi strongly connectedness and neutrosophic regular semi-C5-connectedness in neutrosophic topological spaces. Some interesting properties of these notions are studied. In this connection, interrelations are discussed. Example are provided wherever necessary.