Linear Eegression with Random Fuzzy Observations

DOI10.1080/02331889008802262zbMath0714.62063OpenAlexW2039628986MaRDI QIDQ3200413

Matthias Albrecht, Wolfgang Näther

Publication date: 1990

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889008802262

zbMATH Keywords

varianceBLUEbest linear unbiased estimationexpectationrandom fuzzy setslinear estimation theoryextended least squares estimatorrandom fuzzy- set-valued observationsvague observations

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Linear inference, regression (62J99)

Related Items (7)

Fuzzy data analysis and classification. Special issue in memoriam of Professor Lotfi A. Zadeh, father of fuzzy logic ⋮ Linear Statistical Inference for Random Fuzzy Data ⋮ Regression and correlation analyses of a linear relation between random intervals ⋮ Equivalent conditions for laws of large numbers for \(T\)-related L-R fuzzy numbers ⋮ Bayesian fuzzy kriging ⋮ Linear regression analysis for fuzzy input and output data using the extension principle ⋮ Approximation of functional relationships to fuzzy observations

Cites Work

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• Evaluating explicit functional relationships from fuzzy observations
• Fuzzy random variables - I. Definitions and theorems
• Fuzzy sets and systems. Theory and applications
• On the variance of random sets
• Integrals of set-valued functions
• Fuzzy sets
• Fuzzy random variables

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