05859573

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05859573 Li, Zhi-Wei Li, Gui-Hua Properties of basic fuzzy implication algebra. Cao, Bing-yuan (ed.) et al., Fuzzy information and engineering. Vol. 1. Proceedings of the third annual conference on fuzzy information and engineering (ACFIE 2008), Haikou, China, December 5--10, 2008. Berlin: Springer (ISBN 978-3-540-88913-7/pbk; 978-3-540-88914-4/ebook). Advances in Soft Computing 54, 128-134 (2009). 2009 Berlin: Springer EN fuzzy logic fuzzy implication algebra basic fuzzy implication algebra regularity lattice

doi:10.1007/978-3-540-88914-4_17

Summary: Fuzzy implication algebra is a kind of algebraic abstraction of implicative connection of logic system with values in $[0,1]$. In this paper, the logic properties of implication operator were given on the frame of basic fuzzy implication algebra. Some lattice properties of it were obtained when the basic implication algebra was regular.