In this paper, some types of falling fuzzy prefilters of EQ-algebras are introduced and studied. The notion of falling fuzzy prefilters of EQ-algebras are introduced, and the relationships between falling fuzzy prefilters and fuzzy prefilters are discussed. Moreover, the notions of falling fuzzy positive implicative (implicative, fantastic) prefilters are also proposed and some of their characterizations are displayed. The relationships among these special falling fuzzy prefilters are mainly investigated by using their characterizations. In particular, some conditions for a falling fuzzy positive implicative prefilter is equivalent to a falling fuzzy implicative prefilter are provided.
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