Fuzzy Statistics

• Main Author: Buckley, James J. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Studies in Fuzziness and Soft Computing, 149
• Subjects: Engineering.; Probabilities.; Applied mathematics.; Engineering mathematics.; Artificial intelligence.; Statistics .; Computational complexity.; Engineering, general.; Probability Theory and Stochastic Processes.; Mathematical and Computational Engineering.; Artificial Intelligence.; Statistics, general.; Complexity.
• Physical Description: XI, 168 p. online resource.
• ISBN: 9783540399193
• ISSN: 1434-9922 ;
• DOI: 10.1007/978-3-540-39919-3

This monograph introduces elementary fuzzy statistics based on crisp (non-fuzzy) data. In the introductory chapters the book presents a very readable survey of fuzzy sets including fuzzy arithmetic and fuzzy functions. The book develops fuzzy estimation and demonstrates the construction of fuzzy estimators for various important and special cases of variance, mean and distribution functions. It is shown how to use fuzzy estimators in hypothesis testing and regression, which leads to a comprehensive presentation of fuzzy hypothesis testing and fuzzy regression as well as fuzzy prediction.