Fuzzy hyperalgebras

Fuzzy hyperalgebras

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Article ID: iaor20112114
Volume: 61
Issue: 2
Start Page Number: 149
End Page Number: 154
Publication Date: Jan 2011
Journal: Computers and Mathematics with Applications
Authors: ,
Keywords: algebra
Abstract:

We introduce and study the notion of fuzzy multialgebras on the basis of a new definition of a fuzzy hyperoperation. We introduce the notion of fuzzy regular (resp., fuzzy strongly regular) relations of hyperalgebras and obtain their basic properties. Finally, we prove that with every fuzzy hyperalgebra we can associate a unique hyperalgebra via a regular (resp., strongly regular) relation.

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