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:

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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.

An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making
An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making

Author: Majdoleen Abu Qamar

Publisher: Infinite Study

Published:

Total Pages: 18

ISBN-13:

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A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry.

A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces
A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces

Author: Taha Yasin Ozturk

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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In this study, we re-define some operations on neutrosophic soft sets differently from the studies [3, 9]. On this operations are given interesting examples and them basic properties. In the direction of these newly defined operations, we construct the neutrosophic soft topological spaces differently from the study [3]. Finally, we introduce basic definitions and theorems on neutrosophic soft topological spaces.

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:

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“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.

A New Approach to Operations on Bipolar Neutrosophic Soft Sets and Bipolar Neutrosophic Soft Topological Spaces
A New Approach to Operations on Bipolar Neutrosophic Soft Sets and Bipolar Neutrosophic Soft Topological Spaces

Author: Taha Yasin Ozturk

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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In this study, we re-define some operations on bipolar neutrosophic soft sets differently from the studies. On this operations are given interesting examples and them basic properties. In the direction of these newly defined operations, we construct the bipolar neutrosophic soft topological spaces. Finally, we introduce basic definitions and theorems on bipolar neutrosophic soft topological spaces.

Neutrosophic soft set
Neutrosophic soft set

Author: Pabitra Kumar Maji

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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In this paper we study the concept of neutrosophic set of Smarandache. We have introduced this concept in soft sets and defined neutrosophic soft set. Some definitions and operations have been introduced on neutrosophic soft set. Some properties of this concept have been established.

Neutrosophic Soft Cubic Set in Topological Spaces
Neutrosophic Soft Cubic Set in Topological Spaces

Author: R. Anitha Cruz

Publisher: Infinite Study

Published:

Total Pages: 22

ISBN-13:

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This research article lays the foundation to propose the new concept of neutrosophic soft cubic topology. Here we focus on the systematic study of neutrosophic soft cubic sets and deduce various properties which are induced by them. This enables us to introduce some equivalent characterizations and brings out the inter relations among them.

Intuitionistic Neutrosophic Soft Set
Intuitionistic Neutrosophic Soft Set

Author: Broumi Said

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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In this paper we study the concept of intuitionistic neutrosophic set of Bhowmik and Pal. We have introduced this concept in soft sets and defined intuitionistic neutrosophic soft set. Some definitions and operations have been introduced on intuitionistic neutrosophic soft set. Some properties of this concept have been established.

NEUTROSOPHIC SOFT FILTERS
NEUTROSOPHIC SOFT FILTERS

Author: NAIME DEMIRTAS

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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In this paper, the concept of neutrosophic soft filter and its basic properties are introduced. Later, we set up a neutrosophic soft topology with the help of a neutrosophic soft filter. We also give the notions of the greatest lower bound and the least upper bound of the family of neutrosophic soft filters, neutrosophic soft filter subbase and neutrosophic soft filter base and explore some basic properties of them.

Some similarity and entropy measurements of bipolar neutrosophic soft sets
Some similarity and entropy measurements of bipolar neutrosophic soft sets

Author: P. Arulpandy

Publisher: Infinite Study

Published:

Total Pages: 21

ISBN-13:

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In this paper, we proposed a different approach on bipolar neutrosophic soft sets and discussed their properties with examples which was initially introduced by Mumtaz Ali et al.[15]. Also we defined some similarity and entropy measurements between any two bipolar neutrosophic soft sets. Further, we proposed the representation of a 2-D digital image in bipolar neutrosophic soft domain. Finally, based on similarity measurements, we propose a decision making process of real-time problem in image analysis.