Xuan, Suling; Zhou, Hongjun; Liu, Ni General forms of lower triangular ordinal sums of fuzzy implications. (Chinese. English summary) Zbl 1463.03006 J. Jilin Univ., Sci. 58, No. 3, 550-562 (2020). Summary: By using the method of ordinal sum, we investigated the necessary and sufficient conditions for a general fuzzy implication to be a proper complement to linear transformations of a given family of fuzzy implications on a given family of lower triangular parts of subsquares in the unit square. We put all kinds of lower triangular ordinal sum implications into a unified framework, and then gave the general form of construction of lower triangular ordinal sums of fuzzy implications. MSC: 03B52 Fuzzy logic; logic of vagueness 03E72 Theory of fuzzy sets, etc. Keywords:fuzzy implication; lower triangular; ordinal sum; necessary and sufficient condition PDFBibTeX XMLCite \textit{S. Xuan} et al., J. Jilin Univ., Sci. 58, No. 3, 550--562 (2020; Zbl 1463.03006) Full Text: DOI