Abstract: Let R be a
commutative ring with nonzero identity and M
be a unitary R‑module. We define
and study the concepts of weak fuzzy prime ideal and weak fuzzy prime submodule.
Several characterizations of these concepts will be given. Also, we show that a
weak fuzzy prime ideal m satisfying is a fuzzy prime ideal.
Keywords and phrases: weak fuzzy prime ideals, weak fuzzy prime submodules.
