Smooth implications on a finite chain
Kybernetika, Tome 55 (2019) no. 4, pp. 668-674.

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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.
DOI : 10.14736/kyb-2019-4-0668
Classification : 03B52, 03E72
Keywords: implications; finite chain; smoothness
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Su, Yong. Smooth implications on a finite chain. Kybernetika, Tome 55 (2019) no. 4, pp. 668-674. doi : 10.14736/kyb-2019-4-0668. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-4-0668/

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