On Mulholland Inequality and Dominance of Strict Triangular Norms

Authors: Milan Petrík
Publication year: 2013
Publication type: Konferenční příspěvek (mezinárodní konf.)
Periodical: Aggregation Functions in Theory and in Practise
Projects: Geometry of associative structures
Bibliographic citation: PETRÍK, Milan. 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. Berlin: Springer, 2013, S. 187-195. Advances in Intelligent Systems and Computing, 228. ISBN 978-3-642-39164-4. ISSN 2194-5357
Dostupné z: doi:10.1007/978-3-642-39165-1_21
DOI: 10.1007/978-3-642-39165-1_21
ID: 394853

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.