Somewhat neutrosophic δ-irresolute continuous mappings in neutrosophic topological spaces

One of the strongest form in a neutrosophic open sets is a neutrosophic δopen sets. Based on this open sets, the continuous mapping, open mapping and closed mapping functions are already defined in neutrosophic topological spaces. Also, the extension of these mappings called somewhat neutrosophic δ-continuous (open) mapping functions are defined in previous paper. The concept of somewhat neutrosophic δ-irresolute continuous (open) mapping which is stronger than a somewhat neutrosophic δ-continuous (open) mapping in a netrosophic topological spaces have been introduced and studied in this paper. Alongside, some interesting properties of those mappings are given in neutrosophic topological spaces.Publisher's Versio

Somewhat Fuzzy Completely Irresolute Mappings

Even though the notion of somewhat fuzzy continuous function and somewhat fuzzy semicontinuous function are not at all continuous functions, they have been developed by many authors considerably. In this way, this article aims to introduce and investigate the concepts of somewhat fuzzy, completely irresolute mapping, and somewhat fuzzy, completely irresolute open mapping. Moreover, some examples, compositions, few interesting relationships between those mappings are discussed