Generated fuzzy implications and fuzzy preference structures
Kybernetika (2012)
- Volume: 48, Issue: 3, page 453-464
- ISSN: 0023-5954
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topBiba, Vladislav, and Hliněná, Dana. "Generated fuzzy implications and fuzzy preference structures." Kybernetika 48.3 (2012): 453-464. <http://eudml.org/doc/246583>.
@article{Biba2012,
abstract = {The notion of a construction of a fuzzy preference structures is introduced. The properties of a certain class of generated fuzzy implications are studied. The main topic in this paper is investigation of the construction of the monotone generator triplet $(p,i,j)$, which is the producer of fuzzy preference structures. Some properties of mentioned monotone generator triplet are investigated.},
author = {Biba, Vladislav, Hliněná, Dana},
journal = {Kybernetika},
keywords = {generated fuzzy implication; fuzzy preference structure; fuzzy implications; t-norm; t-norm; generated fuzzy implication; fuzzy preference structure},
language = {eng},
number = {3},
pages = {453-464},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Generated fuzzy implications and fuzzy preference structures},
url = {http://eudml.org/doc/246583},
volume = {48},
year = {2012},
}
TY - JOUR
AU - Biba, Vladislav
AU - Hliněná, Dana
TI - Generated fuzzy implications and fuzzy preference structures
JO - Kybernetika
PY - 2012
PB - Institute of Information Theory and Automation AS CR
VL - 48
IS - 3
SP - 453
EP - 464
AB - The notion of a construction of a fuzzy preference structures is introduced. The properties of a certain class of generated fuzzy implications are studied. The main topic in this paper is investigation of the construction of the monotone generator triplet $(p,i,j)$, which is the producer of fuzzy preference structures. Some properties of mentioned monotone generator triplet are investigated.
LA - eng
KW - generated fuzzy implication; fuzzy preference structure; fuzzy implications; t-norm; t-norm; generated fuzzy implication; fuzzy preference structure
UR - http://eudml.org/doc/246583
ER -
References
top- Alsina, C., 10.1016/0165-0114(85)90026-0, Fuzzy Sets and Systems 16 (1985), 231–235. Zbl0603.39005MR0801264DOI10.1016/0165-0114(85)90026-0
- Baczyński, M., Jayaram, B., Fuzzy implications (Studies in Fuzziness and Soft Computing, Vol. 231), Springer, Berlin 2008.
- Fodor, J. C., Roubens, M., Fuzzy Preference Modelling and Multicriteria Decision Support, Kluwer Academic Publishers, Dordrecht 1994. Zbl0827.90002MR1672363
- Hliněná, D., Biba, V., Generated fuzzy implications and known classes of implications, In: Acta Universitatis Matthiae Belii ser. Mathematics. 1., Matej Bel University, Banská Bystrica 2010, pp. 25–34. Zbl1205.03035MR2771563
- Klement, E. P., Mesiar, R., Pap, E., Triangular Norms, Kluwer, Dordrecht 2000. Zbl1087.20041MR1790096
- Mas, M., Monserrat, M., Torrens, J., Trillas, E., 10.1109/TFUZZ.2007.896304, IEEE Trans. Fuzzy Systems 15 (2007), 6, 1107–1121. DOI10.1109/TFUZZ.2007.896304
- Smutná, D., On many valued conjunctions and implications, J. Electr. Engrg. 50 (1999), 10/s, 8–10.
- Van De Walle, B., De Baets, B., Kerre, E., A comparative study of completeness conditions in fuzzy preference structures, In: Proc. IFSA'97, vol. III, Prague, pp. 74–79.
- Zadeh, L. A., 10.1016/S0020-0255(71)80005-1, Inform. Sci. 3 (1971), 177–200. Zbl0218.02058MR0297650DOI10.1016/S0020-0255(71)80005-1
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