Certain Types of Soft Sets in the Games Theory

R. B.  Esmaeel

doi:10.24996/ijs.2025.66.1.%g

Authors

R. B. Esmaeel Department of Mathematics, College of Education for Pure Science ibn Al-Haitham,University of Baghdad, IRAQ https://orcid.org/0000-0002-4743-6034

DOI:

https://doi.org/10.24996/ijs.2025.66.1.%25g

Keywords:

Soft set, soft separation axioms, soft-ẛ-g-open sets, soft games

Abstract

Some topological games with soft set theory became important in real life techniques, especially, in economics. Throughout the present work, we introduce new types of soft sets, say, - - -open sets and some of their investigations are studied. In addition, some new kinds of soft separation axioms will be defined, and their implications are studied. Finally, numerous sorts of soft topological games that depend on soft separation axioms are investigated. We prove the important conditions that the first and second players win the proposed games.