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Regular semiopen soft sets and their applications

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1Department of Mathematics, Shree Raghavendra Arts and Science College, Keezhamoongiladi, Chidambaram-608 102, Tamil Nadu, India2Department of Mathematics, Govt Arts College (Autonomous), Karur-639 005, Tamil Nadu, India

* Corresponding Author: E. Elavarasan. Email:

Annals of Communications in Mathematics 2021, 4 (1), 45-62. https://doi.org/10.62072/acm.2021.040106

Received: 6 February 2021 |

Accepted: 9 March 2021 |

Published: 14 March 2021

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Abstract

The purpose of this paper is to introduce the notion of soft regular semi compactness, connectedness, and separation axioms using regular semiopen soft sets in soft topological spaces. Moreover, we investigate soft RS-regular space and soft RSnormal space are soft to pological properties under bijection, soft regular semi irresolute and soft regular semi irresolute open functions. Also, we show that the properties of being soft regular semi Ti-spaces (i = 1, 2, 3, 4) are hereditary properties.

Keywords

Soft RS-compact; soft RS-connected; soft RS-normal; soft RS-regular; soft RS-T; soft separation axioms; SRS-irresolute; SRSI-open functions

Cite This Article

E. Elavarasan, A. Vadivel.

Regular semiopen soft sets and their applications.

Annals of Communications in Mathematics

2021,

4 (1):

45-62.

https://doi.org/10.62072/acm.2021.040106

Copyright © 2021 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).