Aim of this present paper is, we introduce and investigate neutrosophic Z-continuous maps which is a new kind continuous in topological spaces. Also discussed about some properties characterization Z-irresolute maps.

A new concept of pre-semicompact L -subsets is introduced, where L is a fuzzy lattice. The pre-semicompact L -subset is semi-precompact, hence it is also semicompact and strongly compact. It is described with collection of pre-semiclosed L -subset, constant α -net and α -level filter base. It is a good L -extension; it is hereditary for pre-semiclosed L -subset; it is finitely additive; it is i...

In this paper, we introduce the concepts of soft semi \( \omega \)-continuous, \(\omega \)-irresolute, and \) -irresolute functions by using \)-open sets. We characterize them discuss their main properties with help examples. investigate under what conditions restriction are respectively \)-irresolute. Also, composition two -continuous, \)-irresolute -irresolute, addition to these, examine conn...

A new class of functions called fuzzy semi α-irresolute functions in fuzzy topological spaces are introduced in this paper. Some characterizations of this class and its properties and the relationship with other classes of functions between fuzzy topological spaces are also obtained.

In this paper we introduce and study the concepts of intuitionistic fuzzy g*continuous mappings and intuitionistic fuzzy g*-irresolute mappings and some of their basic properties are discussed.

In the present paper, we continue the study on fuzzy soft topological spaces and investigate the properties of fuzzy soft semi connected sets, fuzzy soft semi separated sets and fuzzy soft semi s-connected sets and have established several interesting properties supported by examples. Moreover, we show that a fuzzy soft semi disconnectedness property is not hereditary property in general. Final...

In this paper we define almost rg-normality and mild rg-normality, continue the study of further properties of rgnormality. We show that these three axioms are regular open hereditary. Also define the class of almost rg-irresolute mappings and show that rg-normality is invariant under almost rg-irresolute M-rg-open continuous surjection. AMS Subject Classification: 54D15, 54D10.

In this paper by using rgα−open sets I define almost rgα−normality and mild rgα−normality also we continue the study of further properties of rgα−normality. We show that these three axioms are regular open hereditary. I also define the class of almost rgα−irresolute mappings and show that rgα−normality is invariant under almost rgα−irresolute M-rgα−open continuous surjection.