Geodesic
A NOTE ON TOPOLOGICAL $D$-POSETS OF FUZZY SETS
Acta mathematica Universitatis Comenianae, Tome 64 (1995) no. 1 
V. Palko. A NOTE ON TOPOLOGICAL $D$-POSETS OF FUZZY SETS. Acta mathematica Universitatis Comenianae, Tome 64 (1995) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1995_64_1_a2/
@article{AMUC_1995_64_1_a2,
     author = {V. Palko},
     title = {A {NOTE} {ON} {TOPOLOGICAL} $D${-POSETS} {OF} {FUZZY} {SETS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1995},
     volume = {64},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1995_64_1_a2/}
}
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Voir la notice de l'article provenant de la source Comenius University

K\^opka and Chovanec in Ref. KCH defined the 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 prove also some consequences for the continuity of the difference operation on $D$-posets of fuzzy sets.