Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces PDF Download
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Author: A. A. Salama
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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Book Description
In this paper we introduce definitions of generalized neutrosophic sets. After given the fundamental definitions of generalized neutrosophic set operations, we obtain several properties, and discussed the relationship between generalized neutrosophic sets and others. Finally, we extend the concepts of neutrosophic topological space [9], intuitionistic fuzzy topological space [5, 6], and fuzzy topological space [4] to the case of generalized neutrosophic sets. Possible application to GIS topology rules are touched upon.
Author: A. A. Salama
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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Book Description
In this paper we introduce definitions of generalized neutrosophic sets. After given the fundamental definitions of generalized neutrosophic set operations, we obtain several properties, and discussed the relationship between generalized neutrosophic sets and others. Finally, we extend the concepts of neutrosophic topological space [9], intuitionistic fuzzy topological space [5, 6], and fuzzy topological space [4] to the case of generalized neutrosophic sets. Possible application to GIS topology rules are touched upon.
Author: D. Sreeja
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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Book Description
This paper committed to the investigation of Neutrosophic topological spaces. In this paper Generalized Alpha Closed Sets and Generalized Alpha Open Sets are presented. Some of its properties are contemplated.
Author: N. Raksha Ben
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 19
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Book Description
In this disquisition we have scrutinize about the traits of generalized topological spaces using neutrosophic sets. Depending on the nature of neutrosophic sets over the generalized topological spaces, some of the features has been contemplated.
Author: Wadei Al-Omeri
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 12
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Book Description
In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets. In addition, we discuss some applications of generalized neutrosophic pre-closed sets, namely neutrosophic pT12 space and neutrosophic gpT12 space. The concepts of generalized neutrosophic connected spaces, generalized neutrosophic compact spaces and generalized neutrosophic extremally disconnected spaces are established. Some interesting properties are investigated in addition to giving some examples.
Author: Murad Arar
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 16
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Book Description
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: A. Pushpalatha
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 5
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Book Description
In this paper, we have introduced the notion of generalized closed sets in Neutrosophic topological spaces and studied some of their basic properties.
Author: R. Dhavaseelan
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 14
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Book Description
In this paper, the concept of generalized neutrosophic closed set is introduced. Further, generalized neutrosophic continuous mapping, generalized neutrosophic irresolute mapping, strongly neutrosophic continuous mapping, perfectly neutrosophic continuous mapping, strongly generalized neutrosophic continuous mapping and perfectly generalized neutrosophic contin- uous mapping are introduced. Several interesting properties and characterizations are also discussed.
Author: V. K. Shanthi
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 5
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Book Description
F.Smarandache introduced and developed the concept of Neutrosophic set from the fuzzy sets and intuitionistic fuzzy sets . A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets. Aim of this paper is we introduced and studied about Neutrosophic generalized semi closed sets in Neutrosophic topological spaces and its properties are discussed details.
Author: C. Maheswari
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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Book Description
Smarandache introduced and developed the new concept of Neutrosophic set from the Intuitionistic fuzzy sets. A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets. Aim of this paper is we introduce and study about Neutrosophic generalized b closed sets in Neutrosophic topological spaces and its properties are discussed details.
Author: R. Dhavaseelan
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16
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Book Description
In this paper, the concepts of generalized neutrosophic contra-continuous function, gen- eralized neutrosophic contra-irresolute function and strongly generalized neutrosophic contra-continuous function are introduced. Some interesting properties are also studied.