On fuzzy differential equations in the quotient space of fuzzy numbers
From MaRDI portal
Publication:1677915
DOI10.1016/j.fss.2015.03.010zbMath1385.34005OpenAlexW2074656786MaRDI QIDQ1677915
Chongxia Lu, Wei Zhang, Dong Qiu
Publication date: 13 November 2017
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2015.03.010
Theory of fuzzy sets, etc. (03E72) Fuzzy real analysis (26E50) Fuzzy ordinary differential equations (34A07)
Related Items (18)
On the Ulam stability of fuzzy differential equations ⋮ Hybrid fuzzy differential equations ⋮ Different solution strategies for solving epidemic model in imprecise environment ⋮ Fuzzy structural element method for solving fuzzy dual medium seepage model in reservoir ⋮ Methods in ranking fuzzy numbers: a unified index and comparative reviews ⋮ The Karush-Kuhn-Tucker optimality conditions for the fuzzy optimization problems in the quotient space of fuzzy numbers ⋮ Calculus for fuzzy functions with strongly linearly independent fuzzy coefficients ⋮ On generalized quotient MI-groups ⋮ Controlled convergence theorems for infinite dimension Henstock integrals of fuzzy valued functions based on weak equi-integrability ⋮ Unnamed Item ⋮ On linear fuzzy differential equations by differential inclusions' approach ⋮ Random fuzzy differential equations with impulses ⋮ The Cauchy problems for discontinuous fuzzy systems under generalized differentiability ⋮ Calculus for linearly correlated fuzzy function using Fréchet derivative and Riemann integral ⋮ Unnamed Item ⋮ Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equation ⋮ Supporting and separating for rough convex set ⋮ Fuzzy optimizations of convex fuzzy mappings in the quotient space of fuzzy numbers
Cites Work
- Generalized fuzzy differentiability with LU-parametric representation
- Brief note on the variation of constants formula for fuzzy differential equations
- Differentials of fuzzy functions
- Some notes on the characterization of compact sets of fuzzy sets with \(L_p\) metric
- An approximation to the extension principle using decomposition of fuzzy intervals
- First order linear fuzzy differential equations under generalized differentiability
- The Cauchy problem for fuzzy differential equations
- On new solutions of fuzzy differential equations
- A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
- Comparation between some approaches to solve fuzzy differential equations
- Notes on fuzzy complex analysis
- On the fuzzy initial value problem
- Fuzzy sets and systems. Theory and applications
- Additive decomposition of fuzzy quantities with finite supports
- The concept of a linguistic variable and its application to approximate reasoning. III
- Existence of solutions of fuzzy differential equations with parameters
- Existence theorems to the Cauchy problem for fuzzy differential equations under compactness-type conditions
- The Cauchy problem for continuous fuzzy differential equations
- Additive decomposition of fuzzy quantities
- Global existence of solutions to fuzzy differential equations
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- Approximate solutions, existence, and uniqueness of the Cauchy problem of fuzzy differential equations
- Possibilities as cumulative subjective probabilities and a norm on the space of congruence classes of fuzzy numbers motivated by an expected utility functional
- Algebraic properties and topological properties of the quotient space of fuzzy numbers based on Mareš equivalence relation
- Generalized differentiability of fuzzy-valued functions
- Gradual elements in a fuzzy set
- Equivalence class in the set of fuzzy numbers and its application in decision-making problems
- Existence and uniqueness of Cauchy problem for fuzzy differential equations under dissipative conditions
- Impulsive functional differential inclusions and fuzzy population models
- An Approach to Modelling and Simulation of Uncertain Dynamical Systems
- The Space of Functions of Bounded Variation and Certain General Spaces
- Fuzzy random variables
- Fuzzy differential equations
- Fuzzy differential equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On fuzzy differential equations in the quotient space of fuzzy numbers