Abstract
Some extensions of fuzzy set have been made in the literature, for example, type 2 fuzzy set, intuitionistic fuzzy set, twofold fuzzy set, and bifuzzy variable. Type 2 fuzzy set was introduced by Zadeh [155] as a fuzzy set whose membership grades are also fuzzy sets. The intuitionistic fuzzy set was proposed by Atanassov[3] as a pair of membership functions whose sum takes values between 0 and 1. Twofold fuzzy set was derived by Dubois and Prade [21] from possibility and necessity measures as a pair of fuzzy sets: the set of objects which possibly satisfy a certain property, and the set of objects which necessarily satisfy the property.
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© 2004 Springer-Verlag Berlin Heidelberg
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Liu, B. (2004). Bifuzzy Theory. In: Uncertainty Theory. Studies in Fuzziness and Soft Computing, vol 154. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39987-2_7
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DOI: https://doi.org/10.1007/978-3-540-39987-2_7
Publisher Name: Springer, Berlin, Heidelberg
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