×

Fuzzy ideals generated by fuzzy subsets in semigroups. (English) Zbl 1247.20074

Summary: We characterize the fuzzy ideal generated by a fuzzy subset in a semigroup and the fuzzy interior ideal generated by a fuzzy subset in a semigroup. Our work generalizes the characterizations [Z. Mo and X. Wang, Inf. Sci. 86, No. 4, 203-210 (1995; Zbl 0870.20059)] of those fuzzy ideals generated by fuzzy subsets in semigroups with an identity element.

MSC:

20N25 Fuzzy groups
20M12 Ideal theory for semigroups

Citations:

Zbl 0870.20059
PDFBibTeX XMLCite
Full Text: DOI