Neutrosophic Vague Topological Spaces
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| Author | : Mary Margaret A. |
| Publisher | : Infinite Study |
| Total Pages | : 12 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The term topology was introduced by Johann Beredict Listing in the 19th century. Closed sets are fundamental objects in a topological space. In this paper, we use neutrosophic vague sets and topological spaces and we construct and develop a new concept namely “neutrosophic vague topological spaces”. By using the fundamental definition and necessary example we have defined the neutrosophic vague topological spaces and have also discussed some of its properties. Also we have defined the neutrosophic vague continuity and neutrosophic vague compact space in neutrosophic vague topological spaces and their properties are deliberated.
| Author | : A.Mary Margaret |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
| Release | : |
| Genre | : |
| ISBN | : |
The aim of this paper is to introduce and develop a new class of sets namely neutrosophic vague generalized pre-closed sets in neutrosophic vague topological space.
| Author | : Mohana K. |
| Publisher | : Infinite Study |
| Total Pages | : 9 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The main objective of this paper is to make known to a new concept of generalised neutrosophic bipolar vague sets and also defined neutrosophic bipolar vague topology in topological spaces. Also, we introduce generalized neutrosophic bipolar vague closed sets and conferred its properties.
| Author | : D. Savithiri |
| Publisher | : Infinite Study |
| Total Pages | : 9 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The aim of this paper is to introduce a new class of sets called neutrosophic vague rw closed sets and neutrosophic vague rw-open sets, neutrosophic vague rwT1/2 space and neutrosophic vague rwTw in neutrosophic vague topological spaces. Further we analyse some of its properties.
| Author | : Remya.P.B. |
| Publisher | : Infinite Study |
| Total Pages | : 15 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Vague sets and neutrosophic sets play an inevitable role in the developing scenario of mathematical world. In this modern era of artificial intelligence most of the real life situations are found to be immersed with unclear data. Even the newly developed concepts are found to fail with such problems. So new sets like Plithogenic and new combinations like neutrosophic vague arose. Classical set theory dealt with single universe and can be studied by taking it’s subsets.
| Author | : Selvaraj Ganesan |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In the present paper, we define a kind of neutrosophic topology obtained as an associated structure on a neutrosophic topological space K induced by a grill on K. Such a neutrosophic topology is studied in certain detail as to some of its basic properties. Also we introduce new definition of neutrosophic grill topological space like neutrosophic grill-open, neutrosophic grill pre-open, neutrosophic grill semi-open, neutrosophic grill b-open.
| Author | : Murad Arar |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : 2020-12-01 |
| Genre | : Mathematics |
| ISBN | : |
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.
| Author | : Kalaivani Chandran |
| Publisher | : Infinite Study |
| Total Pages | : 20 |
| Release | : 2020-09-21 |
| Genre | : Mathematics |
| ISBN | : |
In this paper, we develop the notion of the basis for a smooth neutrosophic topology in a more natural way. As a sequel, we define the notion of symmetric neutrosophic quasi-coincident neighborhood systems and prove some interesting results that fit with the classical ones, to establish the consistency of theory developed. Finally, we define and discuss the concept of product topology, in this context, using the definition of basis.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 173 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
“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.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 304 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
“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. Some articles from this issue: Reduction of indeterminacy of gray-scale image in bipolar neutrosophic domain, Single Valued Neutrosophic Coloring, An Integrated Neutrosophic and MOORA for Selecting Machine Tool, Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique, Pi-Distance of Rough Neutrosophic Sets for Medical Diagnosis, Machine learning in Neutrosophic Environment: A Survey.
