— 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.
— Classical sets, fuzzy sets, multisets, fuzzy multisets.
The authors are with Mathematics Department, Ahmadu Bello University, Zaria, Nigeria (e-mail: Nigeria.email@example.com, firstname.lastname@example.org, email@example.com).
Cite: Dasharath Singh, Alhaji Alkali, and Adeku Musa Ibrahim, " An Outline of the Development of the Concept of Fuzzy Multisets," International Journal of Innovation, Management and Technology vol. 4, no. 2, pp. 209-212, 2013.