Open AccessExistence and uniqueness of positive fuzzy solution for a three-order fuzzy difference equation
Author(s) -
Lili Jia,
Changyou Wang,
Qiang Yang
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1592/1/012050
Subject(s) - mathematics , uniqueness , fuzzy logic , matrix difference equation , fuzzy measure theory , fuzzy set , mathematical analysis , fuzzy number , differential equation , riccati equation , computer science , artificial intelligence
Our aim in this paper is to study a three-order fuzzy difference equation. Firstly, the fuzzy set theory is used to transform the fuzzy difference equation into the corresponding ordinary difference equations with parameters α , α ∊ (0,1]. And then, the existence and uniqueness for the solution to the ordinary difference equations are obtained by the iteration method, the inequality technique and the mathematical induction. Finally, the existence and uniqueness for the solution of the fuzzy difference equation is proved.