Neutrosophic semi Volterra spaces


Book Description

In this paper, we introduced the concepts of Neutrosophic Semi Volterra spaces and some relations of the Neutrosophic Baire spaces and Neutrosophic Volterra spaces are also studied.




Neutrosophic Semi-Baire Spaces


Book Description

In this paper, we introduce the concept of Neutrosophic Semi Baire spaces in Neutrosophic Topological Spaces. Also we define Neutrosophic Semi-nowhere dense, Neutrosophic Semi-first category and Neutrosophic Semi-second category sets. Some of its characterizations of Neutrosophic Semi-Baire spaces are also studied. Several examples are given to illustrate the concepts.




On Neutrosophic Semi-Open sets in Neutrosophic Topological Spaces


Book Description

The purpose of this paper is to define the product related neutrosophic topological space and proved some theorems based on this. We introduce the concept of neutrosophic semiopen sets and neutrosophic semi-closed sets in neutrosophic topological spaces and derive some of their characterization. Finally, we analyze neutrosophic semi-interior and neutrosophic semi-closure operators also.




Neutrosophic Generalized Semi Closed Sets In Neutrosophic Topological Spaces


Book Description

F.Smarandache introduced and developed the concept of Neutrosophic set from the fuzzy sets and intuitionistic fuzzy sets . A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets. Aim of this paper is we introduced and studied about Neutrosophic generalized semi closed sets in Neutrosophic topological spaces and its properties are discussed details.




Neutrosophic ωα - Closed Sets in Neutrosophic Topological Spaces


Book Description

Aim of this present paper is, we introduce and investigate a new class of closed sets is called Neutrosophic ωα-closed sets in Neutrosophic topological spaces and its properties and characterization are discussed details.







Neutrosophic Grill Topological Spaces


Book Description

In the present paper, we define a kind of neutrosophic topology obtained as an associated structure on a neutrosophic topological space K induced by a grill on K. Such a neutrosophic topology is studied in certain detail as to some of its basic properties. Also we introduce new definition of neutrosophic grill topological space like neutrosophic grill-open, neutrosophic grill pre-open, neutrosophic grill semi-open, neutrosophic grill b-open.




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.




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 Pre-open Sets and Pre-closed Sets in Neutrosophic Topology


Book Description

The purpose of this article is to extend some more topics of topology in neutrosophic topology. Eerily introduce neutrosophic topological space and open sets, closed sets, semi-open and semi closed sets, now in this manuscript we extend up to neutrosophic pre-open and pre-closed (NPO and NPC).