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Neutrosophic Sets and Systems
Article . 2014
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On Neutrosophic Canonical Hypergroups And Neutrosophic Hyperrings

Authors: A.A.A. Agboola; B. Davvaz;

On Neutrosophic Canonical Hypergroups And Neutrosophic Hyperrings

Abstract

A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H. The objective of this paper is to study canonical hypergroups and hyperrings in which addition and multiplication are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hypergroups and neutrosophic hyperrings are presented. Quotient neutrosophic canonical hypergroups and neutrosophic hyperrings are presented.

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Keywords

neutrosophic canonical hypergroups, neutrosophic hyperring, neutrosophic subcanonical hypergroup, QA75.5-76.95, algebraic structure, hyperstructure, neutrosophic canonical hypergroup, Electronic computers. Computer science, neutrosophic hyperideal, QA1-939, neutrosophic subhyperring, Mathematics

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selected citations
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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).
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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!
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