Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some results on $L$-complete lattices   The paper deals with special types of $L$-ordered set, $L$-fuzzy complete
lattices, and fuzzy directed complete posets (fuzzy $dcpo$s). First, a theorem
for constructing monotone maps is proved, a characterization for monotone maps
on an $L$-fuzzy complete lattice is obtained, and it is proved that if $f$ is a
monotone map on an $L$-fuzzy complete lattice $(P;e)$, then $\sqcap S_f$ is the
least fixpoint of $f$. A relation between $L$-fuzzy complete lattices and
fixpoints is found and fuzzy versions of monotonicity, rolling, fusion and
exchange rules on $L$-complete lattices are stated. Finally, we investigate
$Hom(P,P)$, where $(P;e)$ is a fuzzy $dcpo$, and we show that $Hom(P,P)$ is a
fuzzy $dcpo$, the map $\gamma\mapsto \bigwedge_{x\in P}e(x,\gamma(x))$ is a
fuzzy directed subset of $Hom(P,P)$, and we investigate its join.

33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess