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.
Mathematics,
Journal Year:
2025,
Volume and Issue:
13(8), P. 1218 - 1218
Published: April 8, 2025
Multisource
and
multimodal
data
fusion
plays
a
pivotal
role
in
large-scale
artificial
intelligence
applications
involving
big
data.
However,
the
choice
of
strategies
for
different
scenarios
is
often
based
on
experimental
comparisons,
which
leads
to
increased
computational
costs
during
model
training
suboptimal
performance
testing.
In
this
paper,
we
present
theoretical
analysis
early
fusion,
late
gradual
methods.
We
derive
equivalence
conditions
between
fusions
within
framework
generalized
linear
models.
Moreover,
analyze
failure
presence
nonlinear
feature-label
relationships.
Furthermore,
propose
an
approximate
equation
evaluating
accuracy
methods
as
function
sample
size,
feature
quantity,
modality
number.
also
critical
size
threshold
at
dominance
models
undergoes
reversal.
Finally,
introduce
method
selection
paradigm
selecting
most
appropriate
prior
task
execution
demonstrate
its
effectiveness
through
extensive
numerical
experiments.
Our
expected
solve
problems
resource
construction,
improving
scalability
efficiency
AIMS Mathematics,
Journal Year:
2024,
Volume and Issue:
9(10), P. 27247 - 27271
Published: Jan. 1, 2024
<p>The
capital
market
in
Saudi
Arabia
is
fast
growing.
Assurance
of
an
informed
decision
while
investing
the
Stock
Exchange
critical.
There
has
also
been
increased
quest
for
advanced
decision-making
tools
due
to
complexities
selecting
a
given
portfolio,
which
remains
critical
issue
concern
among
investors
face
modern
investment
environment
challenges.
The
research
paper
offered
shall
deliver
innovative
MCDM
technique
through
model
be
developed
Exchange.
This
uses
BTIFS
with
OWA
operator.
A
novelty
proposed
study
identifying
optimal
weight
that
will
obtained
newly
optimization
known
as
TFOA.
TFOA
hybrid
methodology
brings
on
board
strengths
DMOA,
MPA,
and
EO
more
precise
efficient
calculation
ideal
weights
portfolio
selection
process.
would
improve
adaptability
effectiveness
suggested
structure.
approach
established
by
comparative
analysis
already
existing
methods
MCDM,
proves
it
superior
portfolios.
Sensitivity
conducted
evaluate
strength
dependability
method.
ranking
weighted
portfolios
ELECTRE
method
also,
establishes
applicability
BTIFS-OWA
real
life.
results
indicate
along
determining
provides
significant
improvements
accuracy
compared
traditional
methods.</p>
AIMS Mathematics,
Journal Year:
2024,
Volume and Issue:
9(10), P. 28273 - 28294
Published: Jan. 1, 2024
<p>Meta-analysis
is
a
statistical
technique
used
to
process
an
overall
summary
estimation,
and
the
of
meta-analysis
mostly
in
medicine,
social
science,
psychology.
In
this
manuscript,
we
aimed
combine
techniques
Bonferroni
mean
(BM)
operator
based
on
circular
Pythagorean
fuzzy
(CPF)
sets,
called
CPF
(CPFBM)
operator,
weighted
(CPFWBM)
described
their
special
cases
with
help
two
parameters,
"s"
"t",
some
describable
properties
them
are
also
proposed.
Further,
present
evaluation
distance
from
average
solution
(EDAS)
proposed
operators.
Moreover,
use
examples
show
flexibility
dominance
operators
by
comparing
methods
existing
techniques.</p>
