• FUZZY FILTERS OF BE-ALGEBRAS

M. Sambasiva Rao*

Abstract


The concept of fuzzy filters is introduced in BE-algebras.  Some equiv- alent conditions are derived for a fuzzy set of a BE-algebra to become a fuzzy filter. A necessary and sufficient condition is derived for two level filters to be equal. The notion of prime fuzzy filters is introduced and derived a necessary and sufficient condition for a fuzzy filter to become prime.


Keywords


BE-algebra, fuzzy set, fuzzy filter, level filter, endomorphism.

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