The purpose of this paper is to introduce the concepts of fuzzy
almost interior ideals and weakly fuzzy almost interior ideals in semigroups
with relevance to using the ideas of fuzzy almost ideals and almost
interior ideals of semigroups. Moreover, we investigate the properties
of fuzzy almost interior ideals and weakly fuzzy almost interior
ideals in semigroups. Furthermore, we provide relationships between
almost interior ideals and fuzzy almost interior ideals in semigroups.