Dominance of ordinal sums of tl and tp

New Dimensions in Fuzzy Logic and Related Technologies - Proceedings of the 5th EUSFLAT 2005 Conference

Volumn 1, Issue , 2007, Pages 35-39

  Saminger, Susanne ^a,b   Sarkoci, Peter ^a  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^b UNIVERSITY OF SALENTO   (Italy)

Author keywords

Dominance; Idempotent element; Ordinal sum; Triangular norm

Indexed keywords

DOMINANCE; DOMINANCE RELATION; IDEMPOTENT ELEMENT; ORDINAL SUMS; T - NORM; TRIANGULAR NORMS;

FUZZY LOGIC;

MATHEMATICAL OPERATORS;

EID: 84871951570     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. P. Burai, A. Száz, Homogeneity Properties of Subadditive Functions, Ann. Math. Inf. 32 (2005) 189-201.
2. U. Bodenhofer, A Similarity-Based Generalization of Fuzzy Orderings, Volume C 26, Schriftereihe der Johannes-Kepler-Universität Linz, Universit ätsverlag Rudolf Trauner, Linz (1999).
3. B. De Baets, R. Mesiar, Pseudo-metrics and Tequivalences, J. Fuzzy Math. 5 (1997) 471-481.
4. B. De Baets, R. Mesiar, T-partitions, Fuzzy Sets and Systems 97 (1998) 211-223.
5. E. P. Klement, R. Mesiar, E. Pap, Triangular Norms, Kluwer Academic Publishers, Dordrecht, 2000.
6. G. Mayor and J. Torrens. On a family of t-norms. Fuzzy Sets and Systems, 41 (1991) 161-166.
7. S. Saminger, R. Mesiar, U. Bodenhofer, Domination of Aggregation Operators and Preservation of Transitivity, Internat. J. Uncertain. Fuzziness Knowledge-Based Systems 10 (2002) 11-35.
8. S. Saminger, Aggregation of Extensional Hulls and Domination, in: E. P. Klement, R. Mesiar, E. Drobná, F. Chovanec (Eds.), Abstracts of FSTA 2004-The Seventh International Conference on Fuzzy Sets Theory and its Applications, Liptovský Ján. Liptovský Mikulá š, 2004, pp. 92-93.
9. S. Saminger, U. Bodenhofer, E. P. Klement, R. Mesiar, Aggregation of Fuzzy Relations and Preservation of Transitivity, Lecture Notes in Artificial Intelligence 4342 (2006) 184-206.
10. S. Saminger, B. De Baets, H. De Meyer, On the Dominance Relation between Ordinal Sums of Conjunctors, Kybernetika 42 (2006) 337-350.
11. S. Saminger, P. Sarkoci, B. De Baets, The Dominance Relation on the Class of Continuous TNorms from an Ordinal Sum Point of View, Lecture Notes in Artificial Intelligence 4342 (2006) 334-354.
12. P. Sarkoci, Dominance is not Transitive on Continuous t-norms, Aequationes Mathematicae, Springer, accepted.
13. B. Schweizer, A. Sklar, Associative Functions and Statistical Triangle Inequalities. Publ. Math. Debrecen. 8 (1961) 169-186.
14. B. Schweizer, A. Sklar, Probabilistic Metric Spaces, North-Holland, Amsterdam 1983.
15. L. Valverde, On the structure of F-indistinguishability operators, Fuzzy Sets and Systems 17 (1985) 313-328.