Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new approach to soft set through applications of cubic set   The notions of (internal, external) cubic soft sets, P-(R-)order,P-(R-)union,
P-(R-)intersection and P-OR, R-OR, P-AND and R-AND are introduced, and related
properties are investigated. We show that the P-union and the P-intersection of
internal cubic soft sets are also internal cubic soft sets. We provide
conditions for the P-union (resp. P-intersection) of two external cubic soft
sets to be an internal cubic soft set. We give conditions for the P-union
(resp. R-union and R-intersection) of two external cubic soft sets to be an
external cubic soft set. We consider conditions for the R-intersection
(resp.P-intersection) of two cubic sof sets to be both an external cubic soft
set and an internal cubic soft set.

16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn