Abstract

In this paper, by considering the notion of hyper hoop, we introduce and study the concepts of fuzzy subalgebra and fuzzy filter on hyper hoops. Then we investigate some related properties of fuzzy filter on hyper hoops. In the follows, by considering the notion of fuzzy regular relation on hyper hoops, we construct a quotient hyper hoop and we get some isomorphism theorems on quotient hyper hoops.

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