Hong, S. M.; Jun, Y. B.; Kim, S. J.; Park, S. H.; Meng, J. Fuzzy implicative semigroups. (English) Zbl 0879.06009 J. Fuzzy Math. 4, No. 4, 859-869 (1996). The notion of implicative semigroup [cf. W. C. Nemitz, Trans. Am. Math. Soc. 117, 126-142 (1965; Zbl 0128.24804); M. W. Chan and K. P. Shum, Semigroup Forum 46, 7-15 (1993; Zbl 0776.06012)] is extended to the fuzzy setting. The obtained results are similar to those considered for fuzzy semigroups [cf., e.g., N. Kuroki, Inf. Sci. 53, 203-236 (1991; Zbl 0714.20052)]; X.-P. Wang and W.-J. Liu, Inf. Sci. 68, 225-231 (1993; Zbl 0794.20065)]. Reviewer: J.Drewniak (Katowice) MSC: 06F05 Ordered semigroups and monoids 20N25 Fuzzy groups 06F35 BCK-algebras, BCI-algebras (aspects of ordered structures) Keywords:normal semigroup; implicative semigroup; fuzzy semigroups PDF BibTeX XML Cite \textit{S. M. Hong} et al., J. Fuzzy Math. 4, No. 4, 859--869 (1996; Zbl 0879.06009)