Mathematics,
Journal Year:
2024,
Volume and Issue:
12(24), P. 4039 - 4039
Published: Dec. 23, 2024
As
a
pivotal
research
method
in
the
field
of
granular
computing
(GrC),
fuzzy
rough
sets
(FRSs)
have
garnered
significant
attention
due
to
their
successful
overcoming
limitations
traditional
handling
continuous
data.
This
paper
is
dedicated
exploring
application
potential
FRS
models
within
framework
multi-source
complex
information
systems,
which
undoubtedly
holds
profound
significance.
Firstly,
novel
mixed
system
(MsMIS),
encompassing
five
distinct
data
types,
introduced,
thereby
enriching
dimensions
processing.
Subsequently,
similarity
function,
designed
based
on
unique
attributes
data,
utilized
accurately
quantify
relations
among
objects.
Building
this
foundation,
T-norm
operators
are
employed
integrate
matrices
derived
from
different
types
into
cohesive
whole.
integration
not
only
lays
solid
foundation
for
subsequent
model
construction
but
also
highlights
value
fusion
analysis
MsMIS.
The
integrated
results
subsequently
develop
models.
Through
rigorous
examination
perspective
granularity,
rationality
proven,
and
its
mathematical
properties
explored.
contributes
theoretical
advancement
GrC
offers
promising
prospects
practical
implementation.
AIMS Mathematics,
Journal Year:
2025,
Volume and Issue:
10(2), P. 2131 - 2162
Published: Jan. 1, 2025
<p>Following
the
research
of
Yang
and
Atef
proposing
new
classes
fuzzy
$
\beta
$-covering
via
rough
sets
types
over
2-featured
universes,
we
present
some
modern
\alpha
two
distinct
finite
using
$-neighborhoods
for
points
2-distinct
universes.
Throughout
this
research,
ideas
$-neighborhood
system
investigate
relations
system,
$-minimal
$-maximal
descriptions
sets.
Moreover,
kinds
are
proposed.
In
addition,
$-coverings
established.
Finally,
numerous
topological
characteristics
set
investigated.</p>
