Dynamic Behavior of a Seven-Order Fuzzy Difference Equation

Jia, Lili; Zhao, Xiaojuan; Wang, Changyou; Wang, Qiyu

doi:10.11948/20220340

Cited by 1 publication

(1 citation statement)

References 26 publications

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“…In 1965, Professor Zadeh [5], an American expert in cybernetics, proposed to use "membership function" to describe the intermediate transition of phenomenon differences, which broke through the absolute relationship between belonging and not belonging in the classical combination theory, and also inspired experts studying difference equations to use fuzzy numbers to replace the real numbers previously used when determining parameters and initial values, thus solving the two problems mentioned above. The emergence of fuzzy difference equations has brought new ideas to scholars and experts, and a large number of scholars have attempted to apply fuzzy difference equations to practical cases, resulting in a large number of research results [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

On a Fuzzy Difference Equation Based on Generalized Division

Jia,

Zhang,

Wang

et al. 2023

Advances in Transdisciplinary Engineering

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In this work, a second-order fractional fuzzy difference equation is investigated. Firstly, the fuzzy difference equation is transformed into the corresponding ordinary difference equations with parameters based on the fuzzy set theory and generalized division of fuzzy number. And then, the existence and uniqueness of the solution for the ordinary difference equations are proved by the mathematical induction, the mixed iteration method and the inequality technique. Finally, the existence and uniqueness of the solution for the fractional fuzzy difference equation is obtained.

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