Abstract
In this paper, first we introduce the concept of fuzzy n-fold positive implicative filters on hoop algebras and study some of properties. Next we define and study fuzzy n-fold fantastic filters on hoop algebras. Also, the relationship between fuzzy n-fold positive implicative filter and some other fuzzy filters likeness fuzzy n-fold implicative filter and fuzzy n-fold fantastic filters are investigated for example every fuzzy n-fold implicative filter is a fuzzy n-fold positive implicative filter on hoop algebras. Then we obtain some condition equivalent with fuzzy n-fold fantastic filters and every fuzzy filter on chain hoop algebra is a fuzzy n-fold fantastic filter. Finally we show that the quotient of fuzzy n-fold fantastic filters is a Boolean algebra.
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