Lattice of Fuzzy Implications
As noted in Sect. 1.1, in the family \({\mathcal FI}\) of all fuzzy implications we can consider the partial order induced from the unit interval [0, 1]. It is interesting and important to note that incomparable pairs of fuzzy implications generate new fuzzy implications by using the standard min (inf) and max (sup) operations. This is another method of generating new fuzzy implications from the given ones.
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© 2008 Springer-Verlag Berlin Heidelberg
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Baczyński, M., Jayaram, B. (2008). Algebraic Structures of Fuzzy Implications. In: Fuzzy Implications. Studies in Fuzziness and Soft Computing, vol 231. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69082-5_6
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DOI: https://doi.org/10.1007/978-3-540-69082-5_6
Publisher Name: Springer, Berlin, Heidelberg
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