Smooth implications on a finite chain
Kybernetika (2019)
- Volume: 55, Issue: 4, page 668-674
- ISSN: 0023-5954
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topSu, Yong. "Smooth implications on a finite chain." Kybernetika 55.4 (2019): 668-674. <http://eudml.org/doc/295074>.
@article{Su2019,
abstract = {Mas et al. adapted the notion of smoothness, introduced by Godo and Sierra, and discussed two kinds of smooth implications (a discrete counterpart of continuous fuzzy implications) on a finite chain. This work is devoted to exploring the formal relations between smoothness and other six properties of implications on a finite chain. As a byproduct, several classes of smooth implications on a finite chain are characterized.},
author = {Su, Yong},
journal = {Kybernetika},
keywords = {implications; finite chain; smoothness},
language = {eng},
number = {4},
pages = {668-674},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Smooth implications on a finite chain},
url = {http://eudml.org/doc/295074},
volume = {55},
year = {2019},
}
TY - JOUR
AU - Su, Yong
TI - Smooth implications on a finite chain
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 4
SP - 668
EP - 674
AB - Mas et al. adapted the notion of smoothness, introduced by Godo and Sierra, and discussed two kinds of smooth implications (a discrete counterpart of continuous fuzzy implications) on a finite chain. This work is devoted to exploring the formal relations between smoothness and other six properties of implications on a finite chain. As a byproduct, several classes of smooth implications on a finite chain are characterized.
LA - eng
KW - implications; finite chain; smoothness
UR - http://eudml.org/doc/295074
ER -
References
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- Mas, M., Monserrat, M., Torrens, J., 10.1016/j.ijar.2005.05.001, Int. J. Approx. Reason. 40 (2005), 262-279. MR2193766DOI10.1016/j.ijar.2005.05.001
- Mayor, G., Torrens, J., 10.1002/int.4550080703, Int. J. Intell. Systems 8 (1993), 771-778. Zbl0785.68087DOI10.1002/int.4550080703
- Shi, Y., Gasse, B. Van, Ruan, D., Kerre, E. E., 10.1016/j.fss.2009.12.003, Fuzzy Sets and Systems 161 (2010), 1388-1405. MR2606421DOI10.1016/j.fss.2009.12.003
- Yager, R. R., 10.1007/bf01384404, Group Decisions Negotiation 2 (1993), 81-93. DOI10.1007/bf01384404
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