Volume 5, Number 2 (2022)
Properties of strongly pre-open sets in ideal nano topological spaces
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N. Sekar, R. Asokan and I. Rajasekaran
Annals of Communications in Mathematics, Vol. 5 (2) (2022), 74-79
Abstract

Aim 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.

N. SEKAR
RESEARCH SCHOLAR, DEPARTMENT OF MATHEMATICS,, MADURAI KAMARAJ UNIVERSITY, MADURAI, TAMIL NADU, INDIA.
Email: sekar.skrss@gmail.com
R. ASOKAN
DEPARTMENT OF MATHEMATICS, SCHOOL OF MATHEMATICS, MADURAI KAMARAJ UNIVERSITY, MADURAI, TAMIL NADU, INDIA.
Email: rasoka-mku@yahoo.co.in
I. RAJASEKARAN
DEPARTMENT OF MATHEMATICS, TIRUNELVELI DAKSHINA MARA NADAR SANGAM COLLEGE,
T. KALLIKULAM-627 113, TIRUNELVELI DISTRICT, TAMIL NADU, INDIA
Email: sekarmelakkal@gmail.com

 

Some perfect sets in ideal nano topological spaces
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N. Sekar, I. Rajasekaran and R. Asokan
Annals of Communications in Mathematics, Vol. 5 (2) (2022), 80-87
Abstract

 We 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

N. SEKAR
RESEARCH SCHOLAR, DEPARTMENT OF MATHEMATICS,, MADURAI KAMARAJ UNIVERSITY, MADURAI, TAMIL NADU, INDIA.
Email: sekar.skrss@gmail.com
 R. ASOKAN
DEPARTMENT OF MATHEMATICS, SCHOOL OF MATHEMATICS, MADURAI KAMARAJ UNIVERSITY, MADURAI, TAMIL NADU, INDIA.
Email: rasoka mku@yahoo.co.in
I. RAJASEKARAN
DEPARTMENT OF MATHEMATICS, TIRUNELVELI DAKSHINA MARA NADAR SANGAM COLLEGE,
T. KALLIKULAM-627 113, TIRUNELVELI DISTRICT, TAMIL NADU, INDIA.
Email:  sekarmelakkal@gmail.com

Pythagorean Q-anti neutrosophic ideals in gamma semigroup
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A. Arulselvam, V. Chinnadurai and S.V. Manemaran
Annals of Communications in Mathematics, Vol. 5 (2) (2022), 88-96
Abstract

 In 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.

A. ARULSELVAM
ASSISTANT PROFESSOR, DEPARTMENT OF MATHEMATICS, BHARATH INSTITUTE OF HIGHER EDUCATION AND RESEARCH, TAMILNADU, INDIA.
Email: arulselvam.a91@gmail.com
V. CHINNADURAI
PROFESSOR, DEPARTMENT OF MATHEMATICS, ANNAMALAI UNIVERSITY, ANNAMALAINAGAR-608002, TAMILNADU, INDIA.
Email: kv.chinnadurai@yahoo.com
S.V. MANEMARAN
PROFESSOR, DEPARTMENT OF MATHEMATICS, BHARATH INSTITUTE OF HIGHER EDUCATION AND RESEARCH, TAMILNADU, INDIA.
Email: svmanemaran@gmail.com

A new view on (2,2)-regular AG groupoid via DFS sets with applications
in decision making

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T. Asif, M.I. Khan, M. M. Al-Shamiri, M. M. Khalaf, R. Ismail
Annals of Communications in Mathematics, Vol. 5 (2) (2022), 97-120
Abstract

In 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.

T. ASIF
DEPARTMENT OF MATHEMATICS & STATISTICS, THE UNIVERSITY OF HARIPUR, HARIPUR, KPK, PAKISTAN
Email: tasif@uoh.edu.pk
M. KHAN
DEPARTMENT OF MATHEMATICS & STATISTICS, THE UNIVERSITY OF HARIPUR, HARIPUR, KPK, PAKISTAN
Email: muradulislam@uoh.edu.pk
M. M. AL-SHAMIRI
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE AND ARTS ,MUHAYL ASSER, KING KHALID UNIVERSITY , K.S.A AND DEPARTMENT OF MATHEMATICS AND COMPUTER, FACULTY OF SCIENCE, IBB UNIVERSITY, IBB, YEMEN
Email: mal-shamiri@kku.edu.sa
M. M. KHALAF
FACULTY OF ENGINEERING, ARAB ACADEMY FOR SCIENCE TECHNOLOGY AND MARITIME TRANSPORT (AASTMT), ASWAN BRANCH, EGYPTY
Email: halfmohammed2003@aast.edu
R. ISMAIL
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE AND ARTS ,MUHAYL ASSER, KING KHALID UNIVERSITY , K.S.A AND DEPARTMENT OF MATHEMATICS AND COMPUTER, FACULTY OF SCIENCE, IBB UNIVERSITY, IBB, YEMEN

On rarely fuzzy Irw-continuous functions
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E. Elavarasan
Annals of Communications in Mathematics, Vol. 5 (2) (2022), 121-126
Abstract

In 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.

E. ELAVARASAN
DEPARTMENT OF MATHEMATICS, SHREE RAGHAVENDRA ARTS AND SCIENCE COLLEGE (AFFILIATED TO ANNAMALAI UNIVERSITY), KEEZHAMOONGILADI, CHIDAMBARAM-608102, TAMIL NADU, INDIA.
Email: maths.arasa@gmail.com

Neutrosophic regular semi compactness and connectedness
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R. Vijayalakshmi and R. R. Praveena
Annals of Communications in Mathematics, Vol. 5 (2) (2022), 127-137
Abstract

In 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.

R. VIJAYALAKSHMI
DEPARTMENT OF MATHEMATICS, ARIGNAR ANNA GOVERNMENT ARTS COLLEGE, NAMMAKKAL, TAMIL NADU-637 002, INDIA.
Email: viji.lakshmi80@rediffmail.com
R. R. PRAVEENA
RESEARCH SCHOLAR, DEPARTMENT OF MATHEMATICS, ANNAMALAI UNIVERSITY, ANNAMALAINAGAR, TAMIL NADU-608 002, INDIA.
Email: praveenaphd24@gmail.com