Paper Info
Title
Numerical Solutions for Bidimensional Initial Value Problem with Interactive Fuzzy Numbers.
Abstract
We present a comparison between two approaches of numerical solutions for bidimensional initial value problem with interactive fuzzy numbers. Specifically, we focus on SI epidemiological model considering that initial conditions are given by interactive fuzzy numbers. The interactivity is based on the concept of joint possibility distribution and for this model, it is possible to observe two types of interactivities for fuzzy numbers. The first one is based on the completely correlated concept, while the other one is given by a family of joint possibility distributions. The numerical solutions are given using Euler's method adapted for the arithmetic operations of interactive fuzzy numbers via sup-J extension principle, which generalizes the Zadeh's extension principle.
Year
DOI
Venue
2018
10.1007/978-3-319-95312-0_8
Communications in Computer and Information Science
Keywords
Field
DocType
Interactive fuzzy numbers,Joint possibility distribution,Interactive arithmetic,Epidemiology
Discrete mathematics,Interactivity,Extension principle,Algebra,Computer science,Euler's formula,Initial value problem,Fuzzy number,Possibility distribution
Conference
Volume
ISSN
Citations 
831
1865-0929
0
PageRank 
References 
Authors
0.34
5
4
Name
Order
Citations
PageRank
Vinícius F. Wasques100.34
Estevão Laureano Esmi29012.01
Laécio C. Barros311521.74
Peter Sussner488059.25