A parametrized sum of fuzzy numbers with applications to fuzzy initial value problems

DOI10.1016/j.fss.2017.05.017zbMath1380.03046OpenAlexW2619519580MaRDI QIDQ1697939

Gustavo Barroso Dias Ignácio, Peter Sussner, Laécio Carvalho de Barros, Estevão Laureano Esmi

Publication date: 21 February 2018

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2017.05.017

zbMATH Keywords

fuzzy initial value problemscompletely correlated fuzzy numbersinteractive fuzzy numbersaddition of fuzzy numberssup-J extension principle

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fuzzy ordinary differential equations (34A07)

Related Items (9)

Nguyen type theorem for extension principle based on a joint possibility distribution ⋮ The generalized fuzzy derivative is interactive ⋮ Solutions of higher order linear fuzzy differential equations with interactive fuzzy values ⋮ Calculus for linearly correlated fuzzy number-valued functions ⋮ Addition and subtraction of interactive fuzzy numbers via family of joint possibility distributions ⋮ On interactive fuzzy solutions for mechanical vibration problems ⋮ Calculus for linearly correlated fuzzy function using Fréchet derivative and Riemann integral ⋮ Solution to the Bessel differential equation with interactive fuzzy boundary conditions ⋮ On interactive fuzzy boundary value problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A first course in fuzzy logic, fuzzy dynamical systems, and biomathematics. Theory and applications
• Elementary fuzzy calculus
• On generalization of Nguyen's theorem
• A note on the extension principle for fuzzy sets
• The concept of a linguistic variable and its application to approximate reasoning. I
• Analytical expressions for the addition of fuzzy intervals
• Triangular-norm-based addition of fuzzy intervals
• Necessary and sufficient conditions for the equality of the interactive and non-interactive sums of two fuzzy numbers
• Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
• On interactive fuzzy numbers
• Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of \(\mathbb{L}\)-fuzzy mathematical morphology
• Mathematics of fuzzy sets and fuzzy logic
• Fuzzy differential equations with interactive derivative
• Generalized differentiability of fuzzy-valued functions
• Fuzzy Differential Equations in Various Approaches
• Introduction to Interval Analysis
• On Generalization of Nguyen’s Theorem: A Short Survey of Recent Developments
• Fuzzy sets
• Additions of interactive fuzzy numbers

This page was built for publication: A parametrized sum of fuzzy numbers with applications to fuzzy initial value problems