IJIMT 2013 Vol.4(2): 209-212 ISSN: 2010-0248
DOI: 10.7763/IJIMT.2013.V4.393

An Outline of the Development of the Concept of Fuzzy Multisets

Dasharath Singh, Alhaji Alkali, and Adeku Musa Ibrahim
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.

Index Terms— Classical sets, fuzzy sets, multisets, fuzzy multisets.

The authors are with Mathematics Department, Ahmadu Bello University, Zaria, Nigeria (e-mail: Nigeria.mathdss@yahoo.com, alkali4real2012@gmail.com, adekubash1@gmail.com).

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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.

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