On a nonlinear fuzzy difference equation
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Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi
Abstract
In this paper we investigate the existence, the boundedness and the asymptotic behavior of the positive solutions of the fuzzy difference equation
z
n
+
1
=
A
z
n
−
1
1
+
z
p
n
−
2
,
n
∈
N
0
z
n+1
=
1+z
n−2
p
Az
n−1
, n∈N
0
where
(
z
n
)
is a sequence of positive fuzzy numbers,
A
and the initial conditions
z
−
j
(
j
=
0
,
1
,
2
)
are positive fuzzy numbers and
p
is a positive integer.
Description
Keywords
Asymptotic behavior, α − cuts, boundedness, fuzzy difference equations, fuzzy number, stability