Characterizations of functions of bounded variation on effect algebras

DOI10.1142/s179355712350122xMaRDI QIDQ6650638

Akhilesh Kumar Singh

Publication date: 9 December 2024

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

variationseffect algebras\(\sigma\)-null-additive functionsnull-additive functions

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Cites Work

• Nonlinear total variation based noise removal algorithms
• Effect algebras and unsharp quantum logics.
• Representation of the Choquet integral with the \(\sigma\)-additive Möbius transform
• Variations on effect algebras.
• Pseudo-atoms, atoms and a Jordan type decomposition in effect algebras
• Functions of bounded variation on effect algebras
• The Discontinuity Set of Solutions of the TV Denoising Problem and Some Extensions
• Subjective Probabilities on Subjectively Unambiguous Events
• On Fourier series
• Some properties of the variations of non-additive set functions. I
• Fuzzy-valued mappings with finite variation, fuzzy-valued measures and fuzzy-valued Lebesgue-Stieltjes integrals
• Some properties of the variations of non-additive set functions. II
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