Statistical Modeling, Analysis and Management of Fuzzy Data

Carlo Bertoluzza

ISBN 10: 3662003325 / ISBN 13: 9783662003329

Published by Springer, US, 2014

Seller Inventory # LU-9783662003329

Synopsis:

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.

Bibliographic Details

Title: Statistical Modeling, Analysis and ...
Publisher: Springer, US
Publication Date: 2014
Binding: Paperback
Condition: New