Abstract—The paper argues that the classical set-theoretic foundation for mathematics is too restrictive to be able to model a large class of real-life problems which intrinsically involve ambiguities. Further, it describes how by relaxing the restrictions of definiteness and distinctness imposed on the nature of objects to form a cantorian set, the notions of fuzzy sets and multisets respectively get introduced. Finally, it explicates the relevance of generalizing fuzzy sets to fuzzy multisets.