Fuzzy positive implicative ordered filters of implicative semigroups (Q1854144)

The paper deals with fuzzy subsets of ordered implicative semigroups (cf. \textit{W. C. Nemitz} [Trans. Am. Math. Soc. 117, 128-142 (1965; Zbl 0128.24804)]; \textit{M. W. Chan, K. P. Shum} [Semigroup Forum 46, No. 1, 7-15 (1993; Zbl 0776.06012)]). It is a continuation of recent examinations of fuzzy filters (cf. \textit{S. W. Kuresh, Y. B. Jun, W. Huang} [Chin. Q. J. Math. 13, No. 2, 53-57 (1998; Zbl 0924.06014)]). The authors' previous results on ordered filters (cf. \textit{Y. B. Jun, J. Meng, X. L. Lin} [Semigroup Forum 54, No. 1, 75-82 (1997; Zbl 0862.06005)]; \textit{Y. B. Jun} [Commun. Korean Math. Soc. 14, No. 1, 47-55 (1999; Zbl 0969.06013)]; \textit{Y. B. Jun, K. H. Kim} [Int. J. Math. Math. Sci. 23, No. 12, 801-806 (2000; Zbl 0955.06008)]) are extended to fuzzy filters (ordered filters, implicative ordered filters, positive implicative ordered filters).