Work

On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation

Year: 2025

Type: article

Abstract: Fuzzy systems play a crucial role in emerging fields such as artificial intelligence, machine learning, and computer science, drawing significant research interest in fuzzy difference equations. Inspired by this, we analyze the dynamic properties of a fourth-order exponential Riccati-type fuzzy difference equation. The study is further extended to a system of fourth-order fuzzy difference equations. We investigate the boundedness, as well as the local and global stability, of positive solutions. To support the theoretical findings, numerical examples are presented along with graphical and tabular representations.

Source: Axioms

DOI: 10.3390/axioms14020118

Authors: Asifa Tassaddiq, Muhammad Tanveer, Muhammad Usman, Dalal Almutairi, Rabab Alharbi

Institutions: Majmaah University, University of Agriculture Faisalabad, Riphah International University, Qassim University

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4407141748

FWCI: 5.013

Cites: 29

Cited by: 6

Related to: 10