NEUTROSOPHIC FEEBLY NORMAL SPACES


Book Description

In this section, we introduce neutrosophic feebly normal and strongly neutrosophic feebly normal spaces using neutrosophic feebly open set and neutrosophic feebly closed sets. Also, found their relations among themselves and with already existing spaces. Also, we discussed some basic properties and the characterizations of already mentioned spaces.




On Neutrosophic Feebly Open Set In Neutrosophic Topological Spaces


Book Description

The focus of this paper is to introduce the concept of Neutrosophic point, Neutrosophic quasi coincident, Neutrosophic feebly open sets and Neutrosophic feebly closed sets in Neutrosophic Topological spaces. Also we analyse their characterizations and investigate their properties. This concept is the generalization of intuitionistic topological spaces and fuzzy topological spaces. Using this neutrosophic feebly open sets and neutrosophic feebly closed sets, we define a new class of functions namely neutrosophic feebly continuous functions. Further, relationships between this new class and the other classes of functions are established.




On Neutrosophic Feebly Frontier in Neutrosophic Topological Spaces


Book Description

In this paper, we introduce a new class of operator using neutrosophic feebly closed sets namely neutrosophic feebly frontier. Also we study some of their basic properties and their characterizations.




Some New Operators in Neutrosophic Topological Spaces


Book Description

Focus of this paper is to introduce some new operators namely neutrosophic feebly border and neutrosophic feebly exterior using neutrosophic feebly open sets. And we discuss their properties in neutrosophic topological spaces.




Ordinary Single Valued Neutrosophic Topological Spaces


Book Description

We define an ordinary single valued neutrosophic topology and obtain some of its basic properties. In addition, we introduce the concept of an ordinary single valued neutrosophic subspace. Next, we define the ordinary single valued neutrosophic neighborhood system and we show that an ordinary single valued neutrosophic neighborhood system has the same properties in a classical neighborhood system. Finally, we introduce the concepts of an ordinary single valued neutrosophic base and an ordinary single valued neutrosophic subbase, and obtain two characterizations of an ordinary single valued neutrosophic base and one characterization of an ordinary single valued neutrosophic subbase.




Neutrosophic vague Regular Weakly closed sets in Neutrosophic vague topological spaces


Book Description

The aim of this paper is to introduce a new class of sets called neutrosophic vague rw closed sets and neutrosophic vague rw-open sets, neutrosophic vague rwT1/2 space and neutrosophic vague rwTw in neutrosophic vague topological spaces. Further we analyse some of its properties.




NEUTROSOPHIC REGULAR GENERALIZED STAR b-CLOSED SETS IN NEUTROSOPHIC TOPOLOGICAL SPACES


Book Description

Smarandache introduced and developed the new concept of Neutrosophic set from the Intuitionistic fuzzy sets. A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets. In this paper we introduce and study about Neutrosophic Regular Generalized Star b Closed sets in Neutrosophic Topological Spaces and its properties are discussed.




Neutrosophic Topological Spaces


Book Description

In this paper, the concept of neutrosophic topological spaces is introduced. We define and study the properties of neutrosophic open sets, closed sets, interior and closure. The set of all generalize neutrosophic pre-closed sets GNPC and the set of all neutrosophic open sets in a neutrosophic topological space can be considered as examples of generalized neutrosophic topological spaces.




Neutrosophic Vague Topological Spaces


Book Description

The term topology was introduced by Johann Beredict Listing in the 19th century. Closed sets are fundamental objects in a topological space. In this paper, we use neutrosophic vague sets and topological spaces and we construct and develop a new concept namely “neutrosophic vague topological spaces”. By using the fundamental definition and necessary example we have defined the neutrosophic vague topological spaces and have also discussed some of its properties. Also we have defined the neutrosophic vague continuity and neutrosophic vague compact space in neutrosophic vague topological spaces and their properties are deliberated.




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.