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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.
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.
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.
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.
Smarandache proposed the approach of neutrosophic sets. Neutrosophic sets deals with uncertain data. This paper de nes the notion of neutrosophic b-open sets and neutrosophic b-closed sets and their properties are investigated. Further neutrosphic b-interior and neutrosphic b-closure operators are studied and their relationship with other operators are also discussed.
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.
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.
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.
In this disquisition we have scrutinize about the traits of generalized topological spaces using neutrosophic sets. Depending on the nature of neutrosophic sets over the generalized topological spaces, some of the features has been contemplated.
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.