Non-additive interval-valued F-transform

DOI10.1016/j.fss.2014.08.006zbMath1374.94603OpenAlexW1965523942MaRDI QIDQ1677623

Peng Zhang

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.2014.08.006

zbMATH Keywords

samplingpossibility theoryChoquet integralconfidence measuresfuzzy transformsummative and maxitive kernels

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Fuzzy measure theory (28E10) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

Related Items (7)

GENERALIZED RESIDUATED LATTICES BASED F-TRANSFORM ⋮ An interval-valued inversion of the non-additive interval-valued F-transform: use for upsampling a signal ⋮ Using atomic bounds to get sub-modular approximations ⋮ Multivariate fuzzy transform of complex-valued functions determined by monomial basis ⋮ Comparing Interval-Valued Estimations with Point-Valued Estimations ⋮ Polynomial alias higher degree fuzzy transform of complex-valued functions ⋮ On Maxitive Image Processing

Cites Work

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• Fuzzy projection versus inverse fuzzy transform as sampling/interpolation schemes
• Approximation properties of fuzzy transforms
• Fuzzy transform and least-squares approximation: Analogies, differences, and generalizations
• Fuzzy transforms of higher order approximate derivatives: A theorem
• F-transform with parametric generalized fuzzy partitions
• Supporting trading strategies by inverse fuzzy transform
• Fuzzy transforms method in prediction data analysis
• Interval-valued probability density estimation based on quasi-continuous histograms: proof of the conjecture
• Imprecise expectations for imprecise linear filtering
• Possibilistic signal processing: How to handle noise?
• Why fuzzy transform is efficient in large-scale prediction problems: a theoretical explanation
• On the granularity of summative kernels
• Possibility theory and statistical reasoning
• Non-additive measure and integral
• Probability-possibility transformations, triangular fuzzy sets, and probabilistic inequalities
• Towards interval-based non-additive deconvolution in signal processing
• A segmentation method for images compressed by fuzzy transforms
• Fuzzy transform in the analysis of data
• An image coding/decoding method based on direct and inverse fuzzy transforms
• Fuzzy transforms: theory and applications
• Approximation theorem of the fuzzy transform in fuzzy reasoning and its application to the scheduling problem
• Probability measures of fuzzy events
• ROUGH FUZZY SETS AND FUZZY ROUGH SETS*
• Subjective Probability and Expected Utility without Additivity
• Polynomial spline signal approximations: filter design and asymptotic equivalence with Shannon's sampling theorem
• B-spline signal processing. I. Theory

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