Abstract
The relationship between vague sets and fuzzy sets are analyzed in this paper. A general model for transforming vague sets into fuzzy sets is proposed. The transformation of a vague set into a fuzzy set is proved to be a many-to-one mapping relation. The validity of this transformation model is also discussed. It establishes a mathematical relationship between the vague set theory and fuzzy set theory.
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© 2008 Springer-Verlag Berlin Heidelberg
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Liu, Y., Wang, G., Feng, L. (2008). A General Model for Transforming Vague Sets into Fuzzy Sets. In: Gavrilova, M.L., Tan, C.J.K., Wang, Y., Yao, Y., Wang, G. (eds) Transactions on Computational Science II. Lecture Notes in Computer Science, vol 5150. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87563-5_8
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DOI: https://doi.org/10.1007/978-3-540-87563-5_8
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