Statistical Modeling, Analysis and Management of Fuzzy Data: Studies in Fuzziness and Soft Computing, cartea 87
Editat de Carlo Bertoluzza, Maria A. Gil, Dan A. Ralescuen Limba Engleză Hardback – 11 ian 2002
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Specificații
ISBN-13: 9783790814408
ISBN-10: 3790814407
Pagini: 328
Ilustrații: XIV, 309 p.
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.64 kg
Ediția:2002
Editura: Physica-Verlag HD
Colecția Physica
Seria Studies in Fuzziness and Soft Computing
Locul publicării:Heidelberg, Germany
ISBN-10: 3790814407
Pagini: 328
Ilustrații: XIV, 309 p.
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.64 kg
Ediția:2002
Editura: Physica-Verlag HD
Colecția Physica
Seria Studies in Fuzziness and Soft Computing
Locul publicării:Heidelberg, Germany
Public țintă
ResearchCuprins
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.
Textul de pe ultima copertă
The contributions in this book connect Probability Theory/Statistics and Fuzzy Set Theory in different ways. Some of these connections are either philosophical or theoretical in nature, but most of them state models and methods to work with fuzzy data (or fuzzy perception) when dealing with random experiments. In this way, several probabilistic studies are developed, as well as techniques and criteria to get descriptive and inferential statistical conclusions from fuzzy data. On the other hand, some studies have been devoted to fuzzy measures and their relationship with measures in Probability Theory.
Caracteristici
States the complementary rather than competitive relationship between Probability and Fuzzy Set Theory Allows solutions to reallife problems with suitable combinations of both theories Includes supplementary material: sn.pub/extras