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Fuzzy ideals of pseudo MV-algebras. (English) Zbl 1128.06005

Summary: The notion of fuzzy (implicative) ideals of a pseudo MV-algebra is introduced, and characterizations of them are established. Conditions for a fuzzy set to be a fuzzy ideal are given. Given a fuzzy set \(\mu\), the least fuzzy ideal containing \(\mu\) is constructed.

MSC:

06D35 MV-algebras
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