About Neutrosophic Countably Compactness
About Neutrosophic Countably Compactness

Author: Murad Arar

Publisher: Infinite Study

Published: 2020-10-01

Total Pages: 10

ISBN-13:

DOWNLOAD EBOOK

We answer the following question: Are neutrosophic-compactness and neutrosophic-countably compactness equivalent? Since every neutrosophic topology is neutrosophic-topology, we answer the question for neutrosophic topological spaces, more precisely, we give an example of neutrosophic topology which is neutrosophic countably compact but not neutrosophic compact.

About Neutrosophic Countably Comapctness
About Neutrosophic Countably Comapctness

Author: Murad Arar

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

DOWNLOAD EBOOK

We answer the following question: Are neutrosophic m-compactness and neutrosophic m-countably compactness equivalent? Since every neutrosophic topology is neutrosophic m-topology, we answer the question for neutrosophic topological spaces, more precisely, we give an example of neutrosophic topology which is neutrosophic countably comapact but not neutrosophic compact

Neutrosophic Topological Spaces
Neutrosophic Topological Spaces

Author: Murad Arar

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 16

ISBN-13:

DOWNLOAD EBOOK

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.

Compactness and Continuity On Neutrosophic Soft Metric Space
Compactness and Continuity On Neutrosophic Soft Metric Space

Author: Tuhin Bera

Publisher: Infinite Study

Published:

Total Pages: 24

ISBN-13:

DOWNLOAD EBOOK

In this paper, the notion of compact neutrosophic soft metric space is introduced. The concept of neutrosophic soft function and the composition of functions in a neutrosophic soft metric space along with suitable examples also have been brought. The continuity and uniform continuity of a neutrosophic soft function in this space have been defined and verified by proper examples. Several related properties, theorems and structural characteristics of these have been investigated here.

New Family of Neutrosophic Soft Sets
New Family of Neutrosophic Soft Sets

Author: Ahmed B. Al-Nafee

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 15

ISBN-13:

DOWNLOAD EBOOK

The goal of this paper is to study and discuss the neutrosophic soft set theory by introducing, new family of neutrosophic soft sets and because the concept of topological spaces is one of the most powerful concepts in system analysis, we introduced the concept of neutrosophic soft topological spaces depending on this the new family. Furthermore, we introduced new definitions, properties, concerning the neutrosophic soft closuer, the neutrosophic soft interior, the neutrosophic soft exterior and the neutrosophic soft boundary in details of neutrosophic compact. We prove that for a countable neutrosophic-space X: countably compactness and compactness are equivalent. We give an example of a neutrosophic space X which has a neutrosophic countable base but it is not neutrosophic countably compact.

Neutrosophic Sets and Systems, Vol. 38, 2020
Neutrosophic Sets and Systems, Vol. 38, 2020

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 662

ISBN-13:

DOWNLOAD EBOOK

“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.

Compactness on Single-Valued Neutrosophic Ideal Topological Spaces
Compactness on Single-Valued Neutrosophic Ideal Topological Spaces

Author: Fahad Alsharari

Publisher: Infinite Study

Published: 2021-08-01

Total Pages: 19

ISBN-13:

DOWNLOAD EBOOK

The theories of r-single-valued neutrosophic compact, r-single-valued neutrosophic ideal compact, r-single-valued neutrosophic quasi H-closed and r-single-valued neutrosophic compact modulo a single-valued neutrosophic ideal ℐ̃ are presented and investigated.

Semi-Compact and Semi-Lindelӧf Spaces via Neutrosophic Crisp Set Theory
Semi-Compact and Semi-Lindelӧf Spaces via Neutrosophic Crisp Set Theory

Author: A.A. Salama

Publisher: Infinite Study

Published:

Total Pages: 8

ISBN-13:

DOWNLOAD EBOOK

The aim of this paper is devoted to introduce and study the concepts of semi-compact (resp. semi-Lindelӧf, locally semi-compact) spaces in a neutrosophic crisp topological space. Several properties, functions properties of neutrosophic crisp semi-compact spaces are studied. In addition to these, we introduce and study the definition of neutrosophic crisp semi-Lindelӧf spaces and neutrosophic crisp locally semi-compact spaces. We show that neutrosophic crisp semi-compact spaces is preserved under neutrosophic crisp irresolute function and neutrosophic crisp pre-semi-closed function with neutrosophic crisp semi-compact point inverses.

Neutrosophic Systems with Applications (NSWA), Vol. 9, 2023
Neutrosophic Systems with Applications (NSWA), Vol. 9, 2023

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2023-09-23

Total Pages: 115

ISBN-13:

DOWNLOAD EBOOK

Papers on neutrosophic and plithogenic sets, logics, probabilities and statistics, on NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra, etc…