The calculus of fuzzy valued functions

DOI10.1016/0893-9659(90)90014-3zbMath0708.26015OpenAlexW2058239493MaRDI QIDQ920221

Osmo Kaleva

Publication date: 1990

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(90)90014-3

zbMATH Keywords

differentiabilityintegrabilityAumann-integrabilityfuzzy valued functionsHukuhara- differentiability

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Fuzzy measure theory (28E10) Fuzzy real analysis (26E50)

Related Items (17)

Basic theorems for fuzzy differential equations in the quotient space of fuzzy numbers ⋮ Parametric representation of fuzzy numbers and application to fuzzy calculus ⋮ Calculus of fuzzy functions on time scales. I ⋮ On the Theory of (Dual) Projection for Fuzzy Stochastic Processes ⋮ Practical stability, boundedness criteria and Lagrange stability of fuzzy differential systems ⋮ Fuzzy valued measure ⋮ Calculus of linear fuzzy-number-valued functions using the generalized derivative and the Riemann integral of fuzzy \(n\)-cell-number-valued functions ⋮ Newton method for solving the multi-variable fuzzy optimization problem ⋮ Fuzzy martingales - a simple form of fuzzy processes^∗ ⋮ Using the technique of scalarization to solve the multiobjective programming problems with fuzzy coefficients ⋮ Scalarization of the fuzzy optimization problems ⋮ Solutions of fuzzy multiobjective programming problems based on the concept of scalarization ⋮ Block-pulse functions in the method of successive approximations for nonlinear fuzzy Fredholm integral equations ⋮ Representation of fuzzy-valued mappings by the sequence of single-valued mappings ⋮ A generalization of the Minkowski embedding theorem and applications ⋮ Numerical solutions of fuzzy differential and integral equations ⋮ Embedding of level-continuous fuzzy sets on Banach spaces

Cites Work

• The Cauchy problem for fuzzy differential equations
• The concept of normality for fuzzy random variables
• Support function of a fuzzy set and its characteristic properties
• Convex analysis and measurable multifunctions
• Fuzzy random variables
• Fuzzy differential equations
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