Types of fuzzy ($\mathfrak{t}$ generalized $\mathfrak{pre}-$ and $\mathfrak{t}^{\ast}$ generalized $\mathfrak{pre}-$) mappings

Document Type : Research Paper


Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq


The main target of this article is devoted to the generalization types of fuzzy contra continuous mapping so-called fuzzy contra $\mathfrak{t}$ generalized $\mathfrak{pre}-$ continuous mapping and fuzzy contra $\mathfrak{t}^{\ast}$ generalized $\mathfrak{pre}-$ continuous mapping by utilizing fuzzy $\mathfrak{tgp}$-closed sets and fuzzy $\mathfrak{t}^{\ast}\mathfrak{gp}$-closed sets. We look into a few of their characteristics and discuss the relationship between these types and how they relate to other types of fuzzy mappings. Furthermore, we provide some examples that demonstrate that the inverse is not always true.