Soft bi-continuity and related soft functions

Volume 30, Issue 1, pp 19--29 https://doi.org/10.22436/jmcs.030.01.03

Publication Date: November 25, 2022 Submission Date: August 16, 2022 Revision Date: September 02, 2022 Accteptance Date: September 06, 2022

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Authors

T. M. Al-shami - Department of Mathematics, Sana'a University, P.O.Box 1247 Sana'a, Yemen. - Future University, New Cairo, Egypt. Z. A. Ameen - Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq. B. A. Asaad - Department of Mathematics, Faculty of Science, University of Zakho, Zakho 42002, Iraq. - Department of Computer Science, College of Science, Cihan University-Duhok, Iraq. A. Mhemdi - Department of Mathematics, College of Sciences and Humanities in Aflaj, Prince Sattam bin Abdulaziz University, Riyadh, Saudi Arabia.

Abstract

In this article, we start with some properties of several types of soft continuous and soft open functions. We primarily focus on studying soft continuous (soft open) and soft irresolute (soft anti-irresolute) functions. We show that soft continuous and soft irresolute functions are independent and correspondingly soft open and soft anti-irresolute functions. On the other hand, soft bi-continuity implies soft bi-irresoluteness but not the other way round. Moreover, we find conditions under which soft bi-irresoluteness and soft bi-continuity are similar.

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Keywords

• Soft continuous
• soft somewhat open
• soft semiopen

MSC

•  54C08
•  54C10

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