A generalization of the Minkowski embedding theorem and applications

DOI10.1016/S0165-0114(97)00120-6zbMath1007.26018OpenAlexW1975518977MaRDI QIDQ1303933

Heriberto Román-Flores, Rodney Carlos Bassanezi, Marko A. Rojas-Medar

Publication date: 22 September 1999

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(97)00120-6

zbMATH Keywords

fuzzy setsmultifunctionsfuzzy random variablesintegration of multifunctionMinkowski embedding theoremmultivalued Bernstein polynomialsset-convergences

Mathematics Subject Classification ID

Set-valued functions (26E25) Foundations of probability theory (60A99) Fuzzy real analysis (26E50)

Related Items (15)

On the equivalence of convergences of fuzzy sets ⋮ Convolution of fuzzy sets and applications ⋮ Differentiating random upper semicontinuous functions under the integral sign ⋮ A t-norm embedding theorem for fuzzy sets ⋮ On polygonal fuzzy sets and numbers ⋮ On the approximation of compact fuzzy sets ⋮ An embedding theorem for fuzzy numbers on Banach spaces and its applications ⋮ Fuzzy quasilinear spaces and applications ⋮ \(s\)-convex fuzzy processes ⋮ A note on defuzzification of type-2 fuzzy intervals ⋮ Tools for fuzzy random variables: Embeddings and measurabilities ⋮ The \(s\)-differentiability of a fuzzy-valued mapping ⋮ \(M\)-convex fuzzy mappings and fuzzy integral mean ⋮ A note on Zadeh's extensions ⋮ Embedding of level-continuous fuzzy sets on Banach spaces

Cites Work

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• The Cauchy problem for fuzzy differential equations
• The calculus of fuzzy valued functions
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• Differential inclusions and optimal control
• Support function of a fuzzy set and its characteristic properties
• Characterization of compact subsets of fuzzy sets
• Approximation of convex set-valued functions
• Convergence theorem for fuzzy martingales
• Convex analysis and measurable multifunctions
• On embedding problems of fuzzy number space. V
• On the equivalence of convergences of fuzzy sets
• Embedding of level-continuous fuzzy sets on Banach spaces
• Integrals of set-valued functions
• An Embedding Theorem for Spaces of Convex Sets

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