A comparison of three methods for principal component analysis of fuzzy interval data

DOI10.1016/j.csda.2006.02.019zbMath1157.62426OpenAlexW2047082189MaRDI QIDQ1010369

Henk A. L. Kiers, Paolo E. Giordani

Publication date: 6 April 2009

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2006.02.019

zbMATH Keywords

principal component analysisdata reductionfuzzy interval data

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Neural nets and related approaches to inference from stochastic processes (62M45)

Related Items (13)

Three-way analysis of imprecise data ⋮ Estimation of a flexible simple linear model for interval data based on set arithmetic ⋮ Bayesian robust principal component analysis with structured sparse component ⋮ Exploratory data analysis for interval compositional data ⋮ Fuzzy data analysis and classification. Special issue in memoriam of Professor Lotfi A. Zadeh, father of fuzzy logic ⋮ Bayesian robust principal component analysis with adaptive singular value penalty ⋮ Equivalency between vertices and centers-coupled-with-radii principal component analyses for interval data ⋮ Confidence sets in a linear regression model for interval data ⋮ Similarity Test for the Expectation of a Random Interval and a Fixed Interval ⋮ The fuzzy approach to statistical analysis ⋮ Far beyond the classical data models: symbolic data analysis ⋮ Principal component analysis for interval‐valued observations ⋮ Principal component analysis based on intuitionistic fuzzy random variables

Cites Work

• Principal component analysis of symmetric fuzzy data
• Auto-association by multilayer perceptrons and singular value decomposition
• The concept of a linguistic variable and its application to approximate reasoning. I
• Principal component analysis of interval data: a symbolic data analysis approach
• A possibilistic approach to latent component analysis for symmetric fuzzy data
• Interval analysis and fuzzy set theory
• Fuzzy sets
• Analysis of symbolic data. Exploratory methods for extracting statistical information from complex data

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