Extremal k-Lipschitz t-conorms

International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

Volumn 14, Issue 3, 2006, Pages 247-257

  Mesiarova A ^a  

^a INSTITUTE OF CHEMISTRY   (Slovakia)

Author keywords

Additive generator; k Lipschitz property; Triangular conorm

Indexed keywords

APPROXIMATION THEORY; KNOWLEDGE BASED SYSTEMS; UNCERTAIN SYSTEMS;

ADDITIVE GENERATORS; K-LIPSCHITZ PROPERTY; TRIANGULAR CONORM;

FUZZY SETS;

EID: 33745316005     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488506003984     Document Type: Article

References (14)

1. T semigroups of probability distribution functions II", Aequationes Math. 17 (1978) 19-40.
2. R. B. Nelsen An Introduction to Copulas (Volume 139 of Lecture Notes in Statistics. Springer, New York, 1999)
3. B. Schweizer and A. Sklar, Probabilistic Metric Spaces (North-Holland, New York, 1983)
4. C. Alsina, M. J. Frank and B. Schweizer, "Problems on associative functions", Aequationes Math. 66 (2003) 128-140.
5. A. Mesiarová, "Special Classes of Triangular Norms. Ph.D. thesis", Mathematical Institute of Slovak Academy of Sciences, 2005.
6. A. Mesiarová, "A note on two open problems of Alsina, Frank and Schweizer", Aequationes Math., accepted.
7. A. Mesiarová, "Approximation of k-Lipschitz t-norms by strict and nilpotent k-Lipschitz t-norms", submitted.
8. R. G. Ricci and R. Mesiar, "k-Lipschitz strict triangular norms", Proc. EUS-FLAT'2005, Barcelona, 2005, pp. 1307-1312.
9. B. Schweizer and A. Sklar, "Associative functions and statistical triangle inequalities", Publ. Math. Debrecen 8 (1961) 169-186.
10. E. P. Klement, R. Mesiar and E. Pap, Triangular Norms (Volume 8 of Trends in Logic, Studia Logica Library, Kluwer Acad. Publishers, Dordrecht, 2000).
11. C. M. Ling, "Representation of associative functions", Publ. Math. Debrecen 12 (1965)189-212.
12. B. Schweizer and A. Sklar, "Associative functions and abstract semigroups", Publ. Math. Debrecen 10 (1963) 69-81.
13. E. P. Klement, R. Mesiar and E. Pap, "Uniform approximation of associative copulas by strict and non-strict copulas", Illinois Jour. of Math. 45 (4) (2001) 1393-1400.
14. T. Calvo and R. Mesiar, "Stability of aggregation operators", Proceedings of EUSFLAT'2001, Leicester, 2001, pp. 475-478.