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: | Ameri R, Nozari T |
Keywords: | algebra |
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.