Neutrosophic crisp Sets via Neutrosophic crisp Topological Spaces NCTS


Book Description

In this paper the structure of some classes of neutrosophic crisp nearly open sets are investigated via topology and some applications are given. Finally we generalize the crisp topological and neutrosophic crisp studies to the notion of neutrosophic crisp set.




On Neutrosophic Crisp Topology via N-Topology


Book Description

In this paper, we extend the neutrosophic crisp topological spaces into N–neutrosophic crisp topological spaces (Nnc-topological space). Moreover, we introduced new types of open and closed sets in N–neutrosophic crisp topological spaces. We also present Nncsemi (open) closed sets, Nnc-preopen (closed) sets and Nnc-α-open (closed) sets and investigate their basic properties.







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.




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 Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018


Book Description

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.




Topological Structures via Interval-Valued Neutrosophic Crisp Sets


Book Description

In this paper, we introduce the new notion of interval-valued neutrosophic crisp sets providing a tool for approximating undefinable or complex concepts in real world. First, we deal with some of its algebraic structures. We also define an interval-valued neutrosophic crisp (vanishing) point and obtain some of its properties. Next, we define an interval-valued neutrosophic crisp topology, base (subbase), neighborhood, and interior (closure), respectively and investigate some of each property, and give some examples. Finally, we define an interval-valued neutrosophic crisp continuity and quotient topology and study some of each property.




Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces


Book Description

In this paper, we generalize the crisp topological spaces to the notion of neutrosophic crisp topological space, and we construct the basic concepts of the neutrosophic crisp topology.




Neutrosophy


Book Description




On Neutrosophic Crisp Relations


Book Description

The aim of this paper is to introduce a new types of neutrosophic crisp relations as a generalization to intuitionistic relations due to Indira et al.[9], and study some of its properties. Finally, the concepts of the star and retract neutrosophic relations are introduces and studied and some properties of these concepts will be investigated.