Fuzzy Statistics

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 estimat

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Springer-Verlag Berlin Heidelberg GmbH

Studies in Fuzziness and Soft Computing, Volume 149 Editor-in-chief Prof. Janusz Kacprzyk Systems Research Institute Polish Academy of Sciences ul. Newelska 6 01-447 Warsaw Poland E-mail: [email protected] Further volumes of this series can be found on our homepage: springeronline.com

Vol. 140. A. Abraham, L.C. Jain, B.J. van der Zwaag (Eds.)

Innovations in Intelligent Systems, 2004 ISBN 3-540-20265-X Vol. 141. G.C. Onwubolu, B.V. Babu

Vol 130. P.S. Nair

Uncertainty in Multi·Source Databases, 2003

New Optimzation Techniques in Engineering, 2004

ISBN 3-540·03242-8

ISBN 3-540-20167-X

Vol 131. J.N. Mordeson, D.S. Malik, N. Kuroki

Vol. 142. M. Nikravesh, L.A. Zadeh, V. Korotkikh (Eds.)

Fuzzy Semigroups, 2003 ISBN 3-540-03243-6

Fuzzy Partial Differential Equations and Relational Equations, 2004

Vol 132. Y. Xu, D. Ruan, K. Qin, J. Liu

ISBN 3-540-20322-2

Lattice-Valued Logic, 2003 ISBN 3-540-40175-X Vol. 133. Z.-Q. Liu, J. Cai, R. Buse

Handwriting Recognition, 2003

Vol. 143. L. Rutkowski

New Soft Computing Techniques for System Modelling, Pattern Classification and Image Processing, 2004

ISBN 3-540-40177-6

ISBN 3-540-20584-5

Vol 134. V.A. Niskanen

Vol. 144. Z. Sun, G.R. Finnie

Soft Computing Methods in Human Sciences, 2004

Intelligent Techniques in E-Commerce, 2004

ISBN 3-540-00466-1

ISBN 3-540-20518-7

Vol. 135. J.J. Buckley

Vol. 145. J. Gil-Aluja

Fuzzy Probabilities and Fuzzy Sets for Web Planning, 2004 ISBN 3-540-00473-4 Vol. 136. L. Wang (Ed.)

Soft Computing in Communications, 2004 ISBN 3-540-40575-5 Vol. 137. V. Loia, M. Nikravesh, L.A. Zadeh (Eds.)

Fuzzy Logic and the Internet, 2004 ISBN 3-540-20180-7 Vol. 138. S. Sirmakessis (Ed.)

Text Mining and its Applications, 2004 ISBN 3-540-20238-2 Vol. 139. M. Nikravesh, B. Azvine, I. Yager, L.A. Zadeh (Eds.)

Enhancing the Power of the Internet, 2004 ISBN 3-540·20237-4

Fuzzy Sets in the Management of Uncertainty, 2004 ISBN 3-540-20341-9 Vol. 146. J.A. Gamez, S. Moral, A. Salmer6n (Eds.)

Advances in Bayesian Networks, 2004 ISBN 3-540-20876-3 Vol. 147. K. Watanabe, M.M.A. Hashem

New Algorithms and their Applications to Evolutionary Robots, 2004 ISBN 3-540-20901-8 Vol. 148. C. Martin-Vide, V. Mitrana, G. Paun (Eds.)

Formal Languages and Applications, 2004 ISBN 3-540-20907-7

James J. Buckley

Fuzzy Statistics

Springer

Prof. James J. Buckley Mathematics Department University of Alabama at Birmingham Birmingham, AL 35294 USA Е-таП:

[email protected]

ISBN 978-3-642-05924-7 ISBN 978-3-540-39919-3 (eBook) DOI 10.1007/978-3-540-39919-3 ISSN 1434-9922 Library of Congress Cataloging-in-Publication-Data catalog record for this book is available from the Library of Congress. BibIiographic information published Ьу Die Deutsche Bibliothek. Die Deutsche BibIiothek Iists this publication in the Deutsche Nationalbibliographie; detailed bibIiographic data is available in the Internet at http://dnb.ddb.de А

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