Discussion of the structure of uninorms

Kybernetika

Volumn 41, Issue 2, 2005, Pages 213-226

  Drygaś, Paweł ^a  

^a UNIVERSITY OF RZESZÓW   (Poland)

Author keywords

Associative operation; Binary operation; Idempotent operation; Increasing operation; Triangular conorm; Triangular norm; Uninorm

Indexed keywords

EID: 22544465007     PISSN: 00235954     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. E. Czogała and J. Drewniak: Associative monotonic operations in fuzzy set theory. Fuzzy Sets and Systems 12 (1984), 249-269.
2. B. De Baets: Idempotent uninorms. European J. Oper. Res. 118 (1999), 631-642.
3. J. Drewniak and P. Drygaś: On a class of uninorms. Internat. J. Uncertainty, Fuzziness and Knowledge-based Systems 10 (2002), Supplement, 5-10.
4. J. Fodor, B. De Baets, and T. Calvo: Characterization of uninorms with given underlying t-norms and t-conorms, submitted.
5. J. Fodor, R. Yager, and A. Rybalov: Structure of uninorms. Internat. J. Uncertainty, Fuzziness and Knowledge-based Systems 5 (1997), 411-427.
6. S. Jenei: A note on the ordinal sum theorem and its consequence for the construction of triangular norm. Fuzzy Sets and Systems 126 (2002), 199-205.
7. E. P. Klement, R. Mesiar, and E. Pap: Triangular Norms. Kluwer Academic Publishers, Dordrecht 2000.
8. Y.-M. Li and Z.-K. Shi: Remarks on uninorm aggregation operators. Fuzzy Sets and Systems 114 (2000), 377-380.
9. J. Martin: On a theorem of Czogała and Drewniak (1984). In: Proc. EUROFUSE PM'01, Granada 2001, pp. 49-54.
10. J. Martin, G. Mayor, and and J. Torrens: On locally internal monotonic operations. Fuzzy Sets and Systems 137 (2003), 27-42.
11. R. Yager and A. Rybalov: Uninorm aggregation operators. Fuzzy Sets and Systems 80 (1996), 111-120.