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Journal of Mathematical Analysis and Applications
Article
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Journal of Mathematical Analysis and Applications
Article . 1999
License: Elsevier Non-Commercial
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Journal of Mathematical Analysis and Applications
Article . 1999 . Peer-reviewed
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zbMATH Open
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Vague Groups

Vague groups
Authors: Demirci, Mustafa;
Abstract

The considerations of this paper are based on fuzzy equality relations. First, using such relations in the function axioms, the author defines vague mappings, and vague binary operations. Next, fuzzy equality relations in the group axioms lead to the notions of vague semigroups, monoids and groups. At last, elementary group properties are discussed in this setting.

Keywords

group axioms, fuzzy functions, vague semigroups, Applied Mathematics, Fuzzy groups, Axiomatics and elementary properties of groups, vague groups, Theory of fuzzy sets, etc., fuzzy relations, fuzzy binary operations, Analysis

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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!
40
Top 10%
Top 10%
Average
hybrid