2023/02/13 by Alireza Khalili Golmankhaneh, Kerri Welch, Golmankhaneh, Alireza Khalili +5
Mathematics · #FOS: Mathematics #Fuzzy Systems and Optimization #General Mathematics (math.GM)
paper · pdf · doi:10.48550/arxiv.2302.07641
openalex publication_date 2023/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this manuscript, fractal and fuzzy calculus are summarized. Fuzzy calculus in terms of fractal limit, continuity, its derivative, and integral are formulated. The fractal fuzzy calculus is a new framework that includes fractal fuzzy derivatives and fractal fuzzy integral. In this framework, fuzzy number-valued functions with fractal support are the solutions of fractal fuzzy differential equations. Different kinds of fractal fuzzy differential equations are given and solved.