Dominance is not transitive on continuous triangular norms

Aequationes Mathematicae

Volumn 75, Issue 3, 2008, Pages 201-207

  Sarkoci, Peter ^a  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

Dominance; Subadditivity; t norm; Transitivity

Indexed keywords

EID: 45849122410     PISSN: 00019054     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00010-007-2915-5     Document Type: Article

References (5)

1. C. ALSINA, M. J. FRANK and B. SCHWEIZER, Associative Functions: Triangular Norms and Copulas, World Scientific Publishing Company, Singapore, 2006.
2. E. P. KLEMENT, R. MESIAR and E. PAP, Triangular Norms, Kluwer Academic Publishers, Dordrecht, 2000.
3. S. SAMINGER, B. DE BAETS and H. DE MEYER,On the Dominance Relation between Ordinal Sums of Conjunctors, Kybernetika 42 (2006), 337-350.
4. S. SAMINGER, R. MESIAR and U. BODENHOFER, Domination of Aggregation Operators and Preservation of Transitivity, Internat. J. Uncertain. Fuzziness Knowledge-Based Systems 10 (2002), 11-35.
5. B. SCHWEIZER and A. SKLAR, Probabilistic Metric Spaces, North-Holland, New York, 1983, Dover Publications, Mineola, New York, 2005.