Name
Abstract | ||
|---|---|---|
Let H={0,12,1} with the natural order and p&q=max{p+q−1,0} for all p,q∈H. We know that the category of liminf complete H-ordered sets is Cartesian closed. In this paper, it is proved that the category of conically cocomplete H-ordered sets with liminf continuous functions as morphisms is Cartesian closed. More importantly, a counterexample is given, which shows that the function spaces consisting of liminf continuous functions of complete H-ordered sets need not be complete. Thus, the category of complete H-ordered sets with liminf continuous functions as morphisms is not Cartesian closed. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.fss.2020.02.004 | Fuzzy Sets and Systems |
Keywords | DocType | Volume |
Fuzzy relations,L-order,Liminf complete L-ordered set,Complete L-ordered set,Cartesian closed category | Journal | 390 |
ISSN | Citations | PageRank |
0165-0114 | 0 | 0.34 |
References | Authors | |
0 | 1 | |