Semigroups of fuzzy implications

Year, pages: 2001, 61 - 71

This paper considers fuzzy implications as a special case of fuzzy relations in $[0,1]$. Under some simple assumptions the $sup$-$min$ composition of fuzzy implications gives also a fuzzy implication. This leads to an examination of semigroups of fuzzy implications. Contrapositive, selfconjugate and idempotent fuzzy implications are also considered.

Baczyński, M., Drewniak, J., Sobera, J. 2001. Semigroups of fuzzy implications. In Tatra Mountains Mathematical Publications, vol. 21, no.1, pp. 61-71. 1210-3195.

Baczyński, M., Drewniak, J., Sobera, J. (2001). Semigroups of fuzzy implications. Tatra Mountains Mathematical Publications, 21(1), 61-71. 1210-3195.