Semigroups based on \(L\)-valued logic and its ideals (Q5929901)

Properties of fuzzy semigroups are widely described (cf. \textit{L. Biacino, G. Gerla} [Inf. Sci. 33, 181-195 (1984; Zbl 0562.06004)]; \textit{B.-T. Lerner} [J. Math. Anal. Appl. 134, No. 2, 306-311 (1988; Zbl 0654.22001)]; \textit{N. Kuroki} [Inf. Sci. 53, No. 3, 203-236 (1991; Zbl 0714.20052); ibid. 66, No. 3, 235-243 (1992; Zbl 0797.20057)]; \textit{X.-P. Wang, W.-J. Liu} [Inf. Sci. 68, No. 3, 225-231 (1993; Zbl 0794.20065)]). Some properties of fuzzy semigroups (cf. the author [Inf. Sci. 51, No. 2, 111-120 (1990; Zbl 0703.20060)]; \textit{N. Kuroki} [J. Fuzzy Math. 3, No. 2, 435-447 (1995; Zbl 0839.20075)]) are generalized to \(L\)-semigroups and described in connection with MV-logic, where \(L\) is a complete residuated lattice.