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Author: Wadei Al-Omeri
Publisher: Infinite Study
Published:
Total Pages: 10
ISBN-13:
DOWNLOAD EBOOKIn this paper the structure of some classes of neutrosophic crisp nearly open sets are investigated via topology and some applications are given. Finally we generalize the crisp topological and neutrosophic crisp studies to the notion of neutrosophic crisp set.
Author: A. A. Salama
Publisher: Infinite Study
Published:
Total Pages: 6
ISBN-13:
DOWNLOAD EBOOKIn this paper, we generalize the crisp topological spaces to the notion of neutrosophic crisp topological space, and we construct the basic concepts of the neutrosophic crisp topology.
Author: Riad K. Al-Hamido
Publisher: Infinite Study
Published:
Total Pages: 14
ISBN-13:
DOWNLOAD EBOOKIn this paper, we extend the neutrosophic crisp topological spaces into N–neutrosophic crisp topological spaces (Nnc-topological space). Moreover, we introduced new types of open and closed sets in N–neutrosophic crisp topological spaces. We also present Nncsemi (open) closed sets, Nnc-preopen (closed) sets and Nnc-α-open (closed) sets and investigate their basic properties.
Author: A. A. Salama, Florentin Smarandache
Publisher: Infinite Study
Published: 2015-05-01
Total Pages: 184
ISBN-13: 1599733234
DOWNLOAD EBOOKAuthor: Dongsik Jo
Publisher: Infinite Study
Published:
Total Pages: 30
ISBN-13:
DOWNLOAD EBOOKIn 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.
Author: Dongsik Jo
Publisher: Infinite Study
Published:
Total Pages: 29
ISBN-13:
DOWNLOAD EBOOKIn 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.
Author: A.A. Salama
Publisher: Infinite Study
Published:
Total Pages: 8
ISBN-13:
DOWNLOAD EBOOKThe 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.
Author: Ahmed B. AL-Nafee
Publisher: Infinite Study
Published:
Total Pages: 8
ISBN-13:
DOWNLOAD EBOOKThe main idea of this .research is,to define a new neutrosophic.crisp points in neutrosophic.crisp topological.space .namely [NCPN].,the concept of neutrosophic.crisp limit point was defind using [NCPN],with some of its properties, the separation axioms [N-𝒯i-space,i= 0,1,2] were constructed in neutrosophic.crisp topological space using [NCPN] and, examine the relationship between them in details.
Author: A.A. Salama
Publisher: Infinite Study
Published:
Total Pages: 8
ISBN-13:
DOWNLOAD EBOOKThe 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.
Author: Ahmed B. Al-Nafee
Publisher: Infinite Study
Published: 2020-10-01
Total Pages: 9
ISBN-13:
DOWNLOAD EBOOKThe neutrosophic sets were known since 1999, and because of their wide applications and their great flexibility to solve the problems, we used these the concepts to define a new types of neutrosophic crisp closed sets and limit points in neutrosophic crisp topological space, namly [neutrosophic crisp Gem sets and neutrosophic crisp Turig points ] respactvely, we stady their properties in details and join it with topological concepts. Finally we used [neutrosophic crisp Gem sets and neutrosophic crisp Turig points] to introduce of topological concepts as : neutrosophic crisp closed (open) sets , neutrosophic crisp closure, neutrosophic crisp interior, neutrosophic crisp extrior and neutrosophic crisp boundary which are fundamental for further reserch on neutrosophic crisp topology and will setrengthen the foundations of theory of neutrosophic topological spaces.
