Soft topological spaces (STSs) have received a lot of attention recently, and numerous soft ideas been created from differing viewpoints. Herein, we put forth new class generalizations open sets called “weakly semi-open subsets” following an approach inspired by the components set. This opens door to reformulating existing concepts examining their behaviors. First, deliberate main structural pr...

By increasing house demand for living, the urban development planning has turned to towers, which provides a platform for the growth of the city, regardless of the traditional Iranian's architecture. Among the vital elements in traditional architecture, there are a variety of open and semi-open spaces such as the central courtyard, pool, veranda, balcony, etc that have been provided the needs f...

The main goal of this paper is to introduce and study a new class of function via the notions of $e$-$theta$-open sets and $e$-$theta$-closure operator which are defined by Özkoç and Aslım [10] called weakly $eR$-open functions and $e$-$theta$-open functions. Moreover, we investigate not only some of their basic properties but also their relationships with other types of already existing topolo...

This paper aims to introduce and study fuzzy hypersoft contra open, semi closed, closed maps in topological spaces. Basic properties of are analyzed with examples. Also, the relation between open maps, is discussed. It extended homeomorphism, C-homeomorphism its related characteristics also investigated. The set measure Hamming distance can be applied real-world decision-making problems contain...