Topological Structures via Interval-Valued Neutrosophic Crisp Sets

In this paper, we introduce the new notion of interval-valued neutrosophic crisp sets providing a tool for approximating undefinable or complex concepts in real world. First, we deal with some of its algebraic structures. We also define an interval-valued neutrosophic crisp (vanishing) point and obt...

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Bibliographic Details
Main Authors: Dongsik Jo, S. Saleh, Jeong-Gon Lee, Kul Hur, Chen Xueyou
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/12/2050
Description
Summary:In this paper, we introduce the new notion of interval-valued neutrosophic crisp sets providing a tool for approximating undefinable or complex concepts in real world. First, we deal with some of its algebraic structures. We also define an interval-valued neutrosophic crisp (vanishing) point and obtain some of its properties. Next, we define an interval-valued neutrosophic crisp topology, base (subbase), neighborhood, and interior (closure), respectively and investigate some of each property, and give some examples. Finally, we define an interval-valued neutrosophic crisp continuity and quotient topology and study some of each property.
ISSN:2073-8994