Statistical Modeling, Analysis and Management of Fuzzy Data - Softcover

Softcover

ISBN 10: 3662003325 ISBN 13: 9783662003329

Verlag: Springer, 2014

Inhaltsangabe

1. Fuzziness and Randomness.- Fuzziness and randomness.- 2. Fuzzy-Valued Random Elements.- On the variance of random fuzzy variables.- f-inequality indices for fuzzy random variables.- Traditional techniques to prove some limit theorems for fuzzy random variables.- Convergence in graph for fuzzy valued martingales and smartingales.- Remarks on Korovkin-type approximation of fuzzy random variables.- Several notions of differentiability for fuzzy set-valued mappings.- 3. Possibility, Probability and Fuzzy Measures.- Average level of a fuzzy set.- Second order possibility measure induced by a fuzzy random variable.- Measure extension from meet-systems and falling measures representation.- The structure of fuzzy measure families induced by upper and lower probabilities.- Statistical classes and fuzzy set theoretical classification of probability distributions.- 4. Statistics and Fuzzy Data Analysis.- Statistics with one-dimensional fuzzy data.- Testing fuzzy hypotheses with vague data.- Possibilistic interpretation of fuzzy statistical tests.- Possibilistic regression analysis.- Linear regression in a fuzzy context. The least square method.- Linear regression with random fuzzy observations.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2014
• Sprache: Englisch
• ISBN 10: 3662003325
• ISBN 13: 9783662003329
• Einband: Taschenbuch
• Anzahl der Seiten: 324
• Herausgeber: Bertoluzza Carlo, Gil Maria A, Ralescu Dan A
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar