A non-continuous soft mapping that preserves some structural soft sets

Article type: Research Article

Authors: Ameen, Zanyar A.^{; *}

Affiliations: Department of Mathematics, College of Science, University of Duhok, Duhok, IRAQ

Correspondence: [*] Corresponding author. Zanyar A. Ameen, Department of Mathematics, College of Science, University of Duhok, Duhok-42001, IRAQ. E-mail: zanyar@uod.ac.

Abstract: As everyday problems contain a lot of data and ambiguity, it has become necessary to develop new mathematical approaches to address them and soft set theory is the best tool to deal with such problems. Hence, in this article, we introduce a non-continuous mapping in soft settings called soft U -continuous. We mainly focus on studying soft U -continuity and its connection to soft continuity. We further show that soft U -continuity preserves soft compact sets and soft connected sets. The later sets have various applications in computing science and decision making theory. In the end, we show that if each soft U -continuous mapping f from a soft space X into a soft T0-space Y is soft continuous, then Y is soft T1.

Keywords: soft continuous, soft compact, soft connected, soft separable, soft T₁-space

DOI: 10.3233/JIFS-212410

Journal: Journal of Intelligent & Fuzzy Systems, vol. 42, no. 6, pp. 5839-5845, 2022