Palko, V. A note on topological \(D\)-posets of fuzzy sets. (English) Zbl 0922.06001 Acta Math. Univ. Comen., New Ser. 64, No. 1, 43-46 (1995). Summary: F. Kôpka and F. Chovanec [Math. Slovaca 44, 21–34 (1994; Zbl 0789.03048)] defined a difference poset (\(D\)-poset) as a partially ordered set with a partial difference operation. We show in this paper that every difference operation on a dense subset of \(\langle 0, 1\rangle\) is continuous with respect to the usual topology of the real line. We also prove some consequences for the continuity of the difference operation on \(D\)-posets of fuzzy sets. MSC: 06A06 Partial orders, general 26E50 Fuzzy real analysis 03G12 Quantum logic Keywords:difference posets; continuity of the difference operation; \(D\)-posets of fuzzy sets Citations:Zbl 0789.03048 PDFBibTeX XMLCite \textit{V. Palko}, Acta Math. Univ. Comen., New Ser. 64, No. 1, 43--46 (1995; Zbl 0922.06001) Full Text: EuDML EMIS