Journal
KYBERNETIKA
Volume 55, Issue 4, Pages 668-674Publisher
KYBERNETIKA
DOI: 10.14736/kyb-2019-4-0668
Keywords
implications; finite chain; smoothness
Categories
Funding
- National Natural Science Foundation of China [11801220]
- Natural Science Foundation of Jiangsu Province [BK20180590]
- China Postdoctoral Science Foundation [2019M653644]
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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.
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