Abstract
In this article, we build up the ideas of the fuzzy strongly prime, prime and semiprime m-bi ideals in a semigroup. We additionally investigate the conditions that when the fuzzy m-bi ideals are irreducible and strongly irreducible. We have demonstrated that a semigroup is m-regular and m-intraregular if and only if its very fuzzy m-bi ideal is a semiprime, likewise a subset of a semigroup is its m-bi ideal if and only if the characteristic function on this subset is a fuzzy m-bi ideal.