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The Construction of Fuzzy-valued t-norms and t-conorms

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Computational Intelligence Based on Lattice Theory

Part of the book series: Studies in Computational Intelligence ((SCI,volume 67))

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Summary. In this paper we present a method to construct fuzzy-valued t-norms and t-conorms, i.e. operations which map pairs of lattice elements to fuzzy sets, and are commutative, associative and monotone. The fuzzy-valued t-norm and t-conorm are synthesized from their รก-cuts which are obtained from families of multi-valued t-norms and t-conorms.

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ยฉ 2007 Springer-Verlag Berlin Heidelberg

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Kehagias, A. (2007). The Construction of Fuzzy-valued t-norms and t-conorms. In: Kaburlasos, V.G., Ritter, G.X. (eds) Computational Intelligence Based on Lattice Theory. Studies in Computational Intelligence, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72687-6_18

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  • DOI: https://doi.org/10.1007/978-3-540-72687-6_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72686-9

  • Online ISBN: 978-3-540-72687-6

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