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Symmetry
Article . 2018 . Peer-reviewed
License: CC BY
Full-Text: https://www.mdpi.com/2073-8994/10/10/515/pdf
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Symmetry
Article . 2018 . Peer-reviewed
License: CC BY
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Symmetry
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Article . 2018
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Fuzzy Normed Rings

descriptionPublicationkeyboard_double_arrow_right Article 16 Oct 2018 English Publisher:MDPI AGJournal:Symmetry, volume 10, page 515 (eissn: 2073-8994, Copyright policy )
Authors: Emniyet, Aykut; Şahin, Memet;

doi: 10.3390/sym10100515

Fuzzy Normed Rings

Abstract

In this paper, the concept of fuzzy normed ring is introduced and some basic properties related to it are established. Our definition of normed rings on fuzzy sets leads to a new structure, which we call a fuzzy normed ring. We define fuzzy normed ring homomorphism, fuzzy normed subring, fuzzy normed ideal, fuzzy normed prime ideal, and fuzzy normed maximal ideal of a normed ring, respectively. We show some algebraic properties of normed ring theory on fuzzy sets, prove theorems, and give relevant examples.

Related Organizations
Keywords

fuzzy normed ring, Fuzzy sets, normed space, fuzzy normed ideal, ring

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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!
17
Top 10%
Top 10%
Top 10%
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