Paper Info
Title
A parametrized sum of fuzzy numbers with applications to fuzzy initial value problems.
Abstract
This paper presents a new parametrized family of joint possibility distributions that can be used to control the Pompeiu–Hausdorff norm of the sum resulting from the extension principle. We are able to generate sums with norms covering the entire interval ranging from the smallest possible value to the largest one. Finally, we apply our approach to numerical methods for solving first-order fuzzy initial value problems.
Year
DOI
Venue
2018
10.1016/j.fss.2017.05.017
Fuzzy Sets and Systems
Keywords
Field
DocType
Addition of fuzzy numbers,Interactive fuzzy numbers,Completely correlated fuzzy numbers,sup-J extension principle,Fuzzy initial value problems
Discrete mathematics,Mathematical optimization,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy measure theory,Fuzzy logic,Fuzzy subalgebra,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Journal
Volume
ISSN
Citations 
331
0165-0114
4
PageRank 
References 
Authors
0.49
8
4
Name
Order
Citations
PageRank
Estevão Laureano Esmi19012.01
Peter Sussner288059.25
Gustavo Barroso361.06
Laécio Carvalho de Barros4363.65