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Quasi-copulas: A Bridge between Fuzzy Set Theory and Probability Theory

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Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 68))

Abstract

After their first life in the field of probabilistic metric spaces, triangular norms (t-norms) have been living a quite successful second life in fuzzy set theory. For almost 30 years now, they have been playing the unquestioned role of model for the point-wise intersection of fuzzy sets or for conjunction in fuzzy logic. There is a vast literature on the topic, containing impressive results, as well as challenging open problems.

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De Baets, B. (2010). Quasi-copulas: A Bridge between Fuzzy Set Theory and Probability Theory. In: Huynh, VN., Nakamori, Y., Lawry, J., Inuiguchi, M. (eds) Integrated Uncertainty Management and Applications. Advances in Intelligent and Soft Computing, vol 68. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11960-6_6

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  • DOI: https://doi.org/10.1007/978-3-642-11960-6_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11959-0

  • Online ISBN: 978-3-642-11960-6

  • eBook Packages: EngineeringEngineering (R0)

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