Title
A-Cross Product for Autocorrelated Fuzzy Processes: The Hutchinson Equation
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.
Year
DOI
Venue
2021
10.1007/978-3-030-82099-2_22
EXPLAINABLE AI AND OTHER APPLICATIONS OF FUZZY TECHNIQUES, NAFIPS 2021
Keywords
DocType
Volume
Fuzzy delay-differential equations, Linearly correlated fuzzy numbers, Autocorrelated fuzzy processes, Cross-product, Logistic model
Conference
258
ISSN
Citations 
PageRank 
2367-3370
0
0.34
References 
Authors
0
6