TY - JOUR
ID - 4281
TI - FUZZY LOGISTIC DIFFERENCE EQUATION
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Khastan, A.
AD - Department of Mathematics, Institute for Advanced Studies in, Basic
Sciences (IASBS), Zanjan 45137-66731, Iran
Y1 - 2018
PY - 2018
VL - 15
IS - 7
SP - 55
EP - 66
KW - Fuzzy difference equations
KW - Logistic difference equation
KW - Boundedness
KW - Persistence
KW - Equilibrium point
DO - 10.22111/ijfs.2018.4281
N2 - In this study, we consider two different inequivalent formulations of the logistic difference equation $x_{n+1}= \beta x_n(1- x_n),\ \ n=0,1,..., $ where $x_n$ is a sequence of fuzzy numbers and $\beta$ is a positive fuzzy number. The major contribution of this paper is to study the existence, uniquenessÂ and global behavior of the solutions for two corresponding equations, using the concept of Hukuhara difference for fuzzy numbers. Finally, some examples are given to illustrate our results.
UR - https://ijfs.usb.ac.ir/article_4281.html
L1 - https://ijfs.usb.ac.ir/article_4281_98ea5effa9d639f1e0440536acb41b8e.pdf
ER -