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On Mulholland Inequality and Dominance of Strict Triangular Norms

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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))

Abstract

Mulholland inequality and its consequences for the dominance relation of strict triangular norms are studied and new results made in this area are presented. As a main result, it is presented that the dominance relation on the set of strict triangular norms is not transitive and thus not an order relation.

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Petrík, M. (2013). On Mulholland Inequality and Dominance of Strict Triangular Norms. 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_21

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  • DOI: https://doi.org/10.1007/978-3-642-39165-1_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39164-4

  • Online ISBN: 978-3-642-39165-1

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