On the stability of two functional equations for $ (S, N) $-implications

• Published in: AIMS mathematics Vol. 6; no. 2; pp. 1822 - 1832
• Main Authors: Li, Sizhao, Han, Xinyu, Lang, Dapeng, Dai, Songsong
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: (s，n)-implication; functional equations; fuzzy implications; iterative boolean-like law; law of importation; stability

The iterative functional equation $ \alpha\rightarrow(\alpha\rightarrow \beta) = \alpha\rightarrow \beta $ and the law of importation $ (\alpha\wedge \beta)\rightarrow \gamma = \alpha\rightarrow (\beta\rightarrow \gamma) $ are two tautologies in classical logic. In fuzzy logics, they are two importa...