On Generalized Mulholland Inequality and Dominance on Nilpotent Triangular Norms

0478655 - ÚI 2018 RIV US eng C - Conference Paper (international conference)
Petrík, Milan
On Generalized Mulholland Inequality and Dominance on Nilpotent Triangular Norms.
IFSA-SCIS 2017. Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems. Danvers: IEEE, 2017, č. článku 8023247. ISBN 978-1-5090-4917-2.
[IFSA-SCIS 2017. Joint World Congress of International Fuzzy Systems Association /17./ and International Conference on Soft Computing and Intelligent Systems /9./. Otsu (JP), 27.06.2017-30.06.2017]
R&D Projects: GA ČR GJ15-07724Y
Institutional support: RVO:67985807
Keywords : continuous Archimedean triangular norm * dominance relation * functional inequality * generalized Mulholland inequality * transitivity
OECD category: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

The paper is focused on the generalized Mulholland inequality and its connection with the dominance relation defined on the set of continuous Archimedean triangular norms. A counter-example is provided showing that the set of the solutions of the generalized Mulholland inequality is not closed with respect to compositions and that the dominance relation is not transitive on the set of nilpotent triangular norms.
Permanent Link: http://hdl.handle.net/11104/0274769