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| Author | : A. A. Salama |
| Publisher | : Infinite Study |
| Total Pages | : 5 |
| Release | : |
| Genre | : |
| ISBN | : |
In this paper, we introduce the concept of ""neutrosophic crisp neighborhoods system for the neutrosophic crisp point ". Added to, we introduce and study the concept of neutrosophic crisp local function, and construct a new type of neutrosophic crisp topological space via neutrosophic crisp ideals. Possible application to GIS topology rules are touched upon.
| Author | : Ahmed B. Al-Nafee |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : 2020-11-01 |
| Genre | : Mathematics |
| ISBN | : |
The 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 ] respectively, 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.
| Author | : V. Amarendra Babu |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The aim of this paper is to introduced neutrosophic crisp supra topological spaces (NCSTS) and neutrosophic crisp supra bi and tri-topological spaces, new types of open and closed sets in neutrosophic crisp supra bi and tri-topological spaces, the closure and interior of neutrosophic crisp supra bi and tri-topological space, new concepts of open and closed sets, their properties are investigated.
| Author | : V. Amarendra Babu |
| Publisher | : Infinite Study |
| Total Pages | : 6 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The aim of this paper is to introduce the concepts of closure, interior, neighbourhood, base and local base of neutrosophic crisp supra topological spaces and some of its characterizations are investigated.
| Author | : Dongsik Jo |
| Publisher | : Infinite Study |
| Total Pages | : 30 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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.
| Author | : Ahmed B. AL-Nafee |
| Publisher | : Infinite Study |
| Total Pages | : 8 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The 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 |
| Total Pages | : 6 |
| Release | : |
| Genre | : |
| ISBN | : |
In 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 | : Dongsik Jo |
| Publisher | : Infinite Study |
| Total Pages | : 29 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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.
| Author | : A. VADIVEL |
| Publisher | : Infinite Study |
| Total Pages | : 5 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The concepts of neutrosophy and neutrosophic set was first presented by Smarandache in 2014, the concept of neutrosophic crisp topological space presented by Salama, Smarandache and Kroumov [5]. Al-Omeri [2] also investigated neutrosophic crisp sets in the build of neutrosophic crisp topological Spaces.
| Author | : Mohammed A. Al Shumrani |
| Publisher | : Infinite Study |
| Total Pages | : 14 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
For the first time we introduce non-standard neutrosophic topology on the extended non-standard analysis space, called non-standard real monad space, which is closed under neutrosophic non-standard infimum and supremum. Many classical topological concepts are extended to the non-standard neutrosophic topology, several theorems and properties about them are proven, and many examples are presented.
