Neutrosophic Almost Contra α-Continuous Functions


Book Description

This study utilizes the notions of ℵ-α-open set to introduce and study new form of ℵ -ccontinuity termed as ℵ -almost contra α-continuous function. Besides, we also introduce ℵ𝛼 -connected space, ℵ -weakly Hausdorff space, separation axioms, ℵ𝛼 -normal and ℵ -strong normal spaces. Characterizations of ℵ-almost contra α-continuous functions is also discussed.




On New Types of Weakly Neutrosophic Crisp Continuity


Book Description

The article processes the conceptualizations of neutrosophic crisp-open and neutrosophic crisp semi-open sets to define some new types of weakly ”neutrosophic crisp continuity” essentially, neutrosophic crisp *-continuous, neutrosophic crisp-continuous, neutrosophic crisp semi-continuous, neutrosophic crisp semi-continuous and neutrosophic crisp semi-continuous functions. Also, we shall explain the relationships between these types of weakly neutrosophic crisp continuity and the concepts of neutrosophic crisp continuity.




Neutrosophic Crisp Beta - Functions


Book Description

The purpose of the present paper is to introduce and study the concept of beta-continuous function and beta-open function in neutrosophic crisp topological spaces. Finally, some characterizations concerning neutrosophic crisp functions are presented and one obtains several properties.




Neutrosophic Crisp Set Theory


Book Description




Neutrosophic Crisp Supra Bi and Tri-Topological Spaces


Book Description

The aim of this paper is to introduced neutrosophic crisp supra topological spaces (NCSTS) and neutrosophic crisp supra bi and tri-topological spaces, new types of open and closed sets in neutrosophic crisp supra bi and tri-topological spaces, the closure and interior of neutrosophic crisp supra bi and tri-topological space, new concepts of open and closed sets, their properties are investigated.




Neutrosophic Closed Set and Neutrosophic Continuous Functions


Book Description

In this paper, we introduce and study the concept of "neutrosophic closed set "and "neutrosophic continuous function". Possible application to GIS topology rules are touched upon.




Generalized Neutrosophic Contra-Continuity


Book Description

In this paper, the concepts of generalized neutrosophic contra-continuous function, gen- eralized neutrosophic contra-irresolute function and strongly generalized neutrosophic contra-continuous function are introduced. Some interesting properties are also studied.




Intuitionistic neutrosophic crisp sets and their application to topology


Book Description

In this paper, we introduce the new notion of intuitionistic neutrosophic crisp sets as a tool for approximating undefinable or complex concepts in real world. First, we deal with some of its algebraic structures. Next, we define an intuitionistic neutrosophic crisp topology, base (subbase) and interior (closure), respectively and investigate some of each properties, and give some examples. Finally, we discussed various intuitionistic neutrosophic crisp continuities.




New Types of Neutrosophic Crisp Closed Sets


Book Description

The neutrosophic sets were known since 1999, and because of their wide applications and their great flexibility to solve the problems, we used these the concepts to define a new types of neutrosophic crisp closed sets and limit points in neutrosophic crisp topological space, namly [neutrosophic crisp Gem sets and neutrosophic crisp Turig points ] respactvely, we stady their properties in details and join it with topological concepts. Finally we used [neutrosophic crisp Gem sets and neutrosophic crisp Turig points] to introduce of topological concepts as : neutrosophic crisp closed (open) sets , neutrosophic crisp closure, neutrosophic crisp interior, neutrosophic crisp extrior and neutrosophic crisp boundary which are fundamental for further reserch on neutrosophic crisp topology and will setrengthen the foundations of theory of neutrosophic topological spaces.