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Distributivity Equation in the Class of Noncommutative T-Operators

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Aggregation Functions in Theory and in Practise

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 228))

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Abstract

Recently the distributivity equation was discussed in families of certain operations (e.g. triangular norms, conorms, uninorms and nullnorms). In this paper we describe the solutions of distributivity equation in the class of noncommutative t-operators. Previous results about distributivity between nullnorms can be obtained as simple corollaries.

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Correspondence to Paweł Drygaś .

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Drygaś, P. (2013). Distributivity Equation in the Class of Noncommutative T-Operators. In: Bustince, H., Fernandez, J., Mesiar, R., Calvo, T. (eds) Aggregation Functions in Theory and in Practise. Advances in Intelligent Systems and Computing, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39165-1_22

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  • DOI: https://doi.org/10.1007/978-3-642-39165-1_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39164-4

  • Online ISBN: 978-3-642-39165-1

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