Some Results on Soft Topological Notions

Tuğçe Aydın; Serdar Enginoğlu

EN

Some Results on Soft Topological Notions

Abstract

Recently, the generalizations of soft open sets have become a popular subject. These generalizations define based on the concepts of the soft interior and soft closure. Therefore, the properties related to these concepts play an essential role in propositions concerning the generalizations. To this end, we consider the soft interior and soft closure through the concept of the soft element, and thus we clarify the relationships between a soft topological space and its soft subspace topologies. Afterwards, we mention soft α-open sets, soft α-closed sets, and soft α-T_0 space via soft elements. Finally, we discuss soft α-separation axioms for further research.

Keywords

Soft sets, Soft open sets, Soft topology, Soft α-open sets, Soft α-T_0 space

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Tuğçe Aydın ^*
0000-0002-8134-1004
Türkiye

Serdar Enginoğlu
0000-0002-7188-9893
Türkiye

Publication Date

April 30, 2021

Submission Date

April 5, 2021

Acceptance Date

April 29, 2021

Published in Issue

Year 2021 Volume: 10 Number: 1

IZ

https://izlik.org/JA77HS94GK

APA

Aydın, T., & Enginoğlu, S. (2021). Some Results on Soft Topological Notions. Journal of New Results in Science, 10(1), 65-75. https://izlik.org/JA77HS94GK

AMA

1.Aydın T, Enginoğlu S. Some Results on Soft Topological Notions. JNRS. 2021;10(1):65-75. https://izlik.org/JA77HS94GK

Chicago

Aydın, Tuğçe, and Serdar Enginoğlu. 2021. “Some Results on Soft Topological Notions”. Journal of New Results in Science 10 (1): 65-75. https://izlik.org/JA77HS94GK.

EndNote

Aydın T, Enginoğlu S (April 1, 2021) Some Results on Soft Topological Notions. Journal of New Results in Science 10 1 65–75.

IEEE

[1]T. Aydın and S. Enginoğlu, “Some Results on Soft Topological Notions”, JNRS, vol. 10, no. 1, pp. 65–75, Apr. 2021, [Online]. Available: https://izlik.org/JA77HS94GK

ISNAD

Aydın, Tuğçe - Enginoğlu, Serdar. “Some Results on Soft Topological Notions”. Journal of New Results in Science 10/1 (April 1, 2021): 65-75. https://izlik.org/JA77HS94GK.

JAMA

1.Aydın T, Enginoğlu S. Some Results on Soft Topological Notions. JNRS. 2021;10:65–75.

MLA

Aydın, Tuğçe, and Serdar Enginoğlu. “Some Results on Soft Topological Notions”. Journal of New Results in Science, vol. 10, no. 1, Apr. 2021, pp. 65-75, https://izlik.org/JA77HS94GK.

Vancouver

1.Tuğçe Aydın, Serdar Enginoğlu. Some Results on Soft Topological Notions. JNRS [Internet]. 2021 Apr. 1;10(1):65-7. Available from: https://izlik.org/JA77HS94GK