The Henstock-Stieltjes integral for fuzzy-number-valued functions

DOI10.1016/j.ins.2011.11.024zbMath1250.28014OpenAlexW2065119617MaRDI QIDQ454958

Liang-Liang Wang, Zeng-Tai Gong

Publication date: 2 October 2012

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2011.11.024

zbMATH Keywords

differentiabilityfuzzy numberStieltjes integralconvergence theoremfuzzy Henstock integralnumerical calculate

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items

Atomicity via regularity for non-additive set multifunctions ⋮ Controlled convergence theorems for infinite dimension Henstock integrals of fuzzy valued functions based on weak equi-integrability ⋮ ON CONVERGENCE THEOREMS FOR FUZZY HENSTOCK INTEGRALS ⋮ Homotopy analysis Shehu transform method for solving fuzzy differential equations of fractional and integer order derivatives ⋮ Interval Cauchy problem with a second type Hukuhara derivative ⋮ On the existence of generalized weak solutions to discontinuous fuzzy differential equations ⋮ The Generalized Solution for Initial Problems of Fuzzy Discontinuous Differential Equations ⋮ Fuzzy Laplace transform based on the Henstock integral and its applications in discontinuous fuzzy systems ⋮ On retarded fuzzy functional differential equations and nonabsolute fuzzy integrals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on \(Z\)-numbers
• Statistical limit points of sequences of fuzzy numbers
• Pseudo-Riemann-Stieltjes integral
• The numerical calculus of expectations of fuzzy random variables
• Is there a need for fuzzy logic?
• On integration of fuzzy mappings
• The concept of a linguistic variable and its application to approximate reasoning. I
• The concept of a linguistic variable and its application to approximate reasoning. II
• The concept of a linguistic variable and its application to approximate reasoning. III
• The supremum and infimum of the set of fuzzy numbers and its application
• Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral.
• The unified treatment of trapezoid, Simpson, and Ostrowski type inequality for monotonic mappings and applications.
• The improper fuzzy Riemann integral and its numerical integration
• Construction of concentration measures for general Lorenz curves using Riemann-Stieltjes integrals
• Quadrature rules for integrals of fuzzy-number-valued functions
• Global existence and uniqueness of solutions for fuzzy differential equations under dissipative-type conditions
• Note on ``Numerical solution of fuzzy differential equations by predictor-corrector method
• Statistically monotonic and statistically bounded sequences of fuzzy numbers
• A Hellinger integral representation for bounded linear functionals
• Probability measures of fuzzy events
• Toward a generalized theory of uncertainty (GTU) -- an outline
• The Fuzzy Riemann-Stieltjes Integral
• Generalized ordinary differential equations and continuous dependence on a parameter
• Fuzzy sets
• Fuzzy differential equations
• On Henstock integral of fuzzy-number-valued functions. I
• Fuzzy-valued mappings with finite variation, fuzzy-valued measures and fuzzy-valued Lebesgue-Stieltjes integrals