In this paper, we introduce the notion of normal fuzzy d-ideals, maximal
fuzzy d-ideals and completely normal fuzzy d-ideals in d-transitive d-algebras. We
investigate some interesting properties of normal (resp. maximal, completely normal)
d-ideals. We show that every non-constant normal fuzzy d-ideal which is a maximal
element of (N(X),⊆), where X is a d-transitive d-algebra, takes only the values 0 and
1, and every maximal fuzzy d-ideal in a d-transitive d-algebra is completely normal.
Moreover, we state a fuzzy characteristic d-ideal in d-algebras.
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