On $q$-fuzzy Sets in Hilbert Algebras
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Keywords:
Hilbert algebra, $Q$-fuzzy subalgebra, $Q$-fuzzy idealAbstract
In this paper, $Q$-fuzzy ideals and $Q$-fuzzy subalgebras concepts of Hilbert algebras are introduced and proved some results. Further, we discuss the relation between $Q$-fuzzy ideals (respectively $Q$-fuzzy subalgebras) and level subsets of a $Q$-fuzzy set. $Q$-fuzzy ideals and $Q$-fuzzy subalgebras are also applied in the Cartesian product of Hilbert algebras.
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