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Article

New Interval-Valued Soft Separation Axioms

1
School of Big Data and Financial Statistics, Wonkwang University, Iksan 54538, Republic of Korea
2
Department of Mathematics, Sana’a University, Sana’a P.O. Box 1247, Yemen
3
Jadara University Research Center, Jadara University, Irbid 21110, Jordan
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Mathematical and Physical Science Foundation, 4200 Slagelse, Denmark
5
School of Liberal Arts and Sciences, Korea Aerospace University, Goyang 10540, Republic of Korea
6
Division of Applied Mathematics, Wonkwang University, Iksan 54538, Republic of Korea
*
Authors to whom correspondence should be addressed.
Axioms 2024, 13(7), 493; https://doi.org/10.3390/axioms13070493 (registering DOI)
Submission received: 2 June 2024 / Revised: 2 July 2024 / Accepted: 17 July 2024 / Published: 22 July 2024
(This article belongs to the Special Issue Advances in Octahedron Sets and Its Applications)

Abstract

Our research’s main aim is to study two viewpoints: First, we define partial interval-valued soft Ti(j)-spaces (i = 0, 1, 2, 3, 4; j = i, ii), study some of their properties and some of relationships among them, and give some examples. Second, we introduce the notions of partial total interval-valued soft Tj(i)-spaces (i = 0, 1, 2, 3, 4; j = i, ii) and discuss some of their properties. We present some relationships among them and give some examples.
Keywords: interval-valued soft topological space; interval-valued soft continuous mapping; PIVSTi(j)-space (i = 0, 1,2, 3, 4; j = i, ii); PTIVSαTi(j)-space (i = 0, 1, 2, 3, 4; j = i, ii) interval-valued soft topological space; interval-valued soft continuous mapping; PIVSTi(j)-space (i = 0, 1,2, 3, 4; j = i, ii); PTIVSαTi(j)-space (i = 0, 1, 2, 3, 4; j = i, ii)

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MDPI and ACS Style

Baek, J.I.; Al-shami, T.M.; Jafari, S.; Cheong, M.; Hur, K. New Interval-Valued Soft Separation Axioms. Axioms 2024, 13, 493. https://doi.org/10.3390/axioms13070493

AMA Style

Baek JI, Al-shami TM, Jafari S, Cheong M, Hur K. New Interval-Valued Soft Separation Axioms. Axioms. 2024; 13(7):493. https://doi.org/10.3390/axioms13070493

Chicago/Turabian Style

Baek, J. I., T. M. Al-shami, S. Jafari, M. Cheong, and K. Hur. 2024. "New Interval-Valued Soft Separation Axioms" Axioms 13, no. 7: 493. https://doi.org/10.3390/axioms13070493

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