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A-Cross Product for Autocorrelated Fuzzy Processes: The Hutchinson Equation

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Author(s):
Longo, Felipe ; Laiate, Beatriz ; Santo Pedro, Francielle ; Esmi, Estevao ; Barros, Laecio C. ; Meyer, Joao F. C. A. ; Rayz, J ; Raskin, V ; Dick, S ; Kreinovich, V
Total Authors: 10
Document type: Journal article
Source: EXPLAINABLE AI AND OTHER APPLICATIONS OF FUZZY TECHNIQUES, NAFIPS 2021; v. 258, p. 12-pg., 2022-01-01.
Abstract

This paper presents a new operation of multiplication between linearly correlated fuzzy numbers based on the concept of cross product, set for fuzzy numbers in general. It is proved that this operation is closed in the set of linearly correlated fuzzy numbers. Some properties of the multiplication are listed, and an application on the delayed logistic model, the Hutchinson equation, is provided when considering the population an autocorrelated fuzzy process. Lastly, an analysis of the stability of the solution and biological interpretations are established. (AU)

FAPESP's process: 16/26040-7 - Differential and integral calculus based on arithmetic of interactive fuzzy numbers
Grantee:Estevão Esmi Laureano
Support Opportunities: Regular Research Grants