Cardinalities of Fuzzy Sets

Counting is one of the basic elementary mathematical activities. It comes with two complementary aspects: to determine the number of elements of a set - and to create an ordering between the objects of counting just by counting them over. For finite sets

  • PDF / 701,611 Bytes
  • 12 Pages / 439.37 x 666.142 pts Page_size
  • 40 Downloads / 209 Views

DOWNLOAD

REPORT


Springer Berlin Heidelberg NewYork HongKong London Milano

Paris Tokyo

Studies in Fuzziness and Soft Computing, Volume 118 http://www.springer.de/cgi-bin/search_book.pl ?series= 2941

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 se ries can be found at our homepage Vol. 100. S.-H. Chen (Ed.) Evolutionary Computation in Economics and Finance, 2002 Vol. 101. S. J. Ovaska and L. M. Sztandera (Eds.) Soft Computing in Industrial Electronics, 2002 ISBN 3-7908-1477-6 Vol. 102. B. Liu Theory and Practice ofUncertain Programming, 2002 ISBN 3-7908-1490-3 Vol. 103. N. Barnes and Z.-Q. Liu Knowledge-Based Vision-Guided Robots, 2002 ISBN 3-7908-1494-6

Vol. 109. R.J. Duro, J. Santos and M. Graiia (Eds.) Biologically Inspired Robot Behavior Engineering, 2003 ISBN 3-7908-1513-6 Vol. 110. E. Fink 1. 112. Y. Jin Advanced Fuzzy Systems Design and Applications, 2003 ISBN 3-7908-1523-3 Vol. 111. P.S. Szcepaniak, J. Segovia, J. Kacprzyk and L.A. Zadeh (Eds.) Intelligent Exploration ofthe Web, 2003 ISBN 3-7908-1529-2 Vol. 112. Y. Jin Advanced Fuzzy Systems Design and Applications, 2003 ISBN 3-7908-1537-3

Vol. 104. F. Rothlauf Representations for Genetic and Evolutionary Algorithms", 2002 ISBN 3-7908-1496-2

Vol. 113. A. Abraham, L.C. Jain and J. Kacprzyk (Eds.) Recent Advances in Intelligent Paradigms and Applications", 2003 ISBN 3-7908-1538-1

Vol. 105. J. Segovia, P.S. Szczepaniak and M. Niedzwiedzinski (Eds.) E-Commerce and Intelligent Methods, 2002 ISBN 3-7908-1499-7

Vol. 114. M. Fitting and E. Orowska (Eds.) Beyond Two: Theory and Applications of Multiple Valued Logic, 2003 ISBN 3-7908-1541-1

Vol. 106. P. Matsakis and L.M. Sztandera (Eds.) Applying Soft Computing in Defining Spatial Relations", 2002 ISBN 3-7908-1504-7

Vol. 115. J.J. Buckley Fuzzy Probabilities, 2003 ISBN 3-7908-1542-X

Vol. 107. V. Dimitrov and B. Hodge Soda I Fuzziology, 2002 ISBN 3-7908-1506-3 Vol. 108. L.M. Sztandera and C. Pastore (Eds.) Soft Computing in Textile Sciences, 2003 ISBN 3-7908-1512-8

Vol. 116. C. Zhou, D. Maravall and D. Ruan (Eds.) Autonomous Robotic Systems, 2003 ISBN 3-7908-1546-2 Vo1117. O. Castillo, P. Melin Soft Computing and Fractal Theory for Intelligent Manufacturing, 2003 ISBN 3-7908-1547-0

Maciej Wygralak

Cardinalities of FuzzySets

,

Springer

Prof. Dr. Maciej Wygralak Adam Mickiewicz University Faculty of Mathematics and Computer Science Umultowska 87 61-614 Po zn an Poland

E-mail: [email protected]

ISSN 1434-9922 ISBN 978-3-642-53514-7 ISBN 978-3-540-36382-8 (eBook) DO I 10.1007/978-3-540-36382-8

Library of Congress Cataloging·in-Publication-Data applied for A catalog record for this book is available from the Library of Congress. Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliographie; detailed bibliographic data is available in the internet at .

This work is subject to copyright. All