Crisp and Soft Computing with Hypercubical Calculus New Approaches t

Three transdisciplinary mainstreams of crisp and soft computing are presented in this book. (1) An entirely new approach to scientific modeling from scratch as based on parity logic with new operators for binary computing and the new framework of Langlet

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Vol. 3. A. Geyer-Schulz Fuzzy Rule-Based &pen Systems and Genetic Machine Learning, 2nd ed. 1996 ISBN 3-7908-0964-0

Vol. 14. E. Hisdal Logical Structures for Representation of Knowledge and Uncerti.Jinty, 1998 ISBN 3-7908-1056-8

Vol. 4. T. Onisawa and J. Kacprzyk (Eds.) Relillbility and ~ety Allalyses under FuzziMss, 1995 ISBN 3-7908-0837-7

Vol. 15. G.J. Klir and M.J. W'Jel'IIUIII Uncerti.Jinty-Based lriformation, 1998 ISBN 3-7908-1073-8

Vol. 5. P. Bose and J. Kacprzyk (Eds.) Fuu.iness in Database MQIIQgement Systems, 1995 ISBN 3-7908-0858-X Vol. 6. B.S. Lee and Q. Zhu Fuzzy and Evidence ReQSOning, 1995 ISBN 3-7908-08~ Vol. 7. B.A. Juliano and W. Bandler Tracing Clwins-of-Thought, 1996 ISBN 3-7908-0922-5 Vol. 8. R Herrera and J.L. Verdegay (Eds.) Genetic Algorithms and Soft Computing, 1996, ISBN 3-7908-0956-X Vol. 9. M. Sato et al. Fuzzy Clustering Models and Applications, 1997, ISBN 3-7908-1026-6 Vol. 10. L.C. Jain (Ed.) Soft Computing Techniques in Knowledge-based Intelligent Engineering Systems, 1997, ISBN 3-7908-1035-5 Vol. 11. W. Mielczarski (Ed.) Fuzzy Logic Techniques in Power Systems, 1998, ISBN 3-7908-1044-4 Vol. 12. B. Bouchon-Meunier (Ed.) Aggregation and Fusion of Imperfect Information, 1998 ISBN 3-7908-1048-7 Vol. 13. E. Ortowska (Ed.) Incomplete Information: Rough Set Analysis, 1998 ISBN 3-7908-1049-5

Vol. 16. D. Driankov and R. Palm (Eds.) Advances in Fuzzy Contro~ 1998 ISBN 3-7908-1090-8 Vol. 17. L. Rezoik, V. Dimitrov and J. Kacprzyk (Eds.) Fuzzy Systems Design, 1998 ISBN 3-7908-lll8-1 Vol. 18. L. Polkowski and A. Skowron (Eds.)

Rough Sets in Knowledge Discovery 1, 1998, ISBN 3-7908-lll9-X Vol. 19. L. Polkowski and A. Skowron (Eds.)

Rough Sets in Knowledge Discovery 2, 1998, ISBN 3-7908-1120-3 Vol. 20. J.N. Mordeson and P.S. Nair Fuzzy Mathematics, 1998 ISBN 3-7908-1121-1 Vol. 21. L. C. Jain and T. Fukuda (Eds.) Soft Computing for Intelligent Robotic Systems, 1998 ISBN 3-7908-1147-5 Vol. 22. J.N. Mordeson and P.S. Nair Fuzzy Mathematics, 1998 ISBN 3-7908-1121-1 Vol. 23. P. S. Szczepaniak (Ed,) Computational Intelligence and Applications, 1999 ISBN 3-7908-1161-0 Vol. 24. E. Ortowska (Ed.) Logic at Work, 1999 ISBN 3-7908-1164-5

continued on page 424

Michael Zaus

Crisp and Soft Computing with Hypercubical Calculus New Approaches to Modeling in Cognitive Science and Technology with Parity Logic, Fuzzy Logic, and Evolutionary Computing

With 104 Figures and 33 Tables

Springer-Verlag Berlin Heidelberg GmbH

Dr. Michael Zaus Institute for Cognitive Science University of Oldenburg D-26111 Oldenburg Gennany e-mail: zaus @psychologie.uni-oldenburg.de

ISBN 978-3-662-11380-6 Cataloging-in-Publication Data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Zaus, Michael: Crisp and soft computing with hypercubical calculus: new approaches to modeling in cognitive science and technology with parity logic, fuzzy logic and evolutionary computing I Michael Zaus. (Studies in fuzziness and soft computing; Vol. 27) ISBN 978-3-662-11380-6 ISBN 978-3-7908-1879-6 (eBook) DOI 10.1007/978-3-7908-1879-6