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Generalized Neutrosophic Set And Generalized Neutrosophic Topological Spaces

descriptionPublicationkeyboard_double_arrow_right Article 29 Jul 2012Publisher:Zenodo
Authors: A. A. Salama; S. A. Alblowi;

doi: 10.5281/zenodo.23124 , 10.5281/zenodo.1413039 , 10.5281/zenodo.1413038

Generalized Neutrosophic Set And Generalized Neutrosophic Topological Spaces

Abstract

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, intuitionistic fuzzy topological space, and fuzzy topological space to the case of generalized neutrosophic sets. Possible application to GIS topology rules are touched upon.

Keywords

intuitionistic fuzzy, fuzzy topological space, intuitionistic fuzzy

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green