Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generators of aggregation functions and fuzzy connectives   We show that the class of all aggregation functions on $[0,1]$ can be
generated as a composition of infinitary sup-operation $\bigvee$ acting on sets
with cardinality not exceeding $\mathfrak{c}$, $b$-medians $\mathsf{Med}_b$,
$b\in[0,1[$, and unary aggregation functions $1_{]0,1]}$ and $1_{[a,1]}$, $a\in
]0,1]$. Moreover, we show that we cannot relax the cardinality of argument sets
for suprema to be countable, thus showing a kind of minimality of the
introduced generating set. As a by product, generating sets for fuzzy
connectives, such as fuzzy unions, fuzzy intersections and fuzzy implications
are obtained, too.

25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th