Neutrosophic Φ-open sets and neutrosophic Φ-continuous functions
Neutrosophic Φ-open sets and neutrosophic Φ-continuous functions

Author: Suman Das

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 13

ISBN-13:

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We introduce the notion of neutrosophic Φ-open set and neutrosophic Φ-continuous mapping via neutrosophic topological spaces and investigate several properties of it. By defining neutrosophic Φ -open set, neutrosophic Φ -continuous mapping, and neutrosophic Φ –open mapping, we prove some remarks, theorems on neutrosophic topological spaces.

On Neutrosophic Supra P re-Continuous Functions in Neutrosophic Topological Spaces
On Neutrosophic Supra P re-Continuous Functions in Neutrosophic Topological Spaces

Author: M. Parimala

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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In this paper, we introduce and investigate a new class of sets and functions between topological space called neutrosophic supra pre- continious functions. Furthermore, the concepts of neutro- sophic supra pre-open maps and neutrosophic supra pre-closed maps in terms of neutrosophic supra pre-open sets and neutrosophic supra pre-closed sets, respectively, are introduced and several prop- erties of them are investigated.

The Ingenuity of Neutrosophic Topology via N-Topology
The Ingenuity of Neutrosophic Topology via N-Topology

Author: M. Lellis Thivagar

Publisher: Infinite Study

Published:

Total Pages: 10

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In this paper we desire to extend the neutrosophic topological spaces into N-neutrosophic topological spaces. Also we show that this theory can be deduced to N-intuitionistic and N-fuzzy topological spaces etc. Further we develop not only the concept of classical generalized closed sets into N-neutrosophic topological spaces but also obtain its basic properties. Finally we investigate its continuous function and generalized continuous function.

A New Type of Quasi Open Functions in Neutrosophic Topological Environment
A New Type of Quasi Open Functions in Neutrosophic Topological Environment

Author: M. Parimala

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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Neutrosophic topological space is an generalization of intuitionistic topological space and each neutrosophic set in neutrosophic topological space is triplet set. Intuitionistic topological set deals membership and non-membership values of each variable in open and closed functions and in neutrosophic topology inderterminacy of the same variable has not discussed in the previous work.

On Neutrosophic Feebly Open Set In Neutrosophic Topological Spaces
On Neutrosophic Feebly Open Set In Neutrosophic Topological Spaces

Author: P. Jeya Puvaneswari

Publisher: Infinite Study

Published:

Total Pages: 8

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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.

Neutrosophic Almost Contra α-Continuous Functions
Neutrosophic Almost Contra α-Continuous Functions

Author: R. Dhavaseelan

Publisher: Infinite Study

Published:

Total Pages: 7

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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.