Crisp and Soft Computing with Hypercubical Calculus

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

  • Michael┬áZaus

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 27)

Table of contents

  1. Front Matter
    Pages ii-xviii
  2. Introduction

    1. Michael Zaus
      Pages 1-9
  3. Parity Logic

    1. Front Matter
      Pages 11-11
    2. Michael Zaus
      Pages 13-32
    3. Michael Zaus
      Pages 33-64
    4. Michael Zaus
      Pages 99-127
  4. Fuzzy Logic

    1. Front Matter
      Pages 149-149
    2. Michael Zaus
      Pages 151-200
    3. Michael Zaus
      Pages 201-276
  5. Evolutionary Computing

    1. Front Matter
      Pages 277-277
    2. Michael Zaus
      Pages 279-307
    3. Michael Zaus
      Pages 309-399
  6. Back Matter
    Pages 401-425

About this book


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 transforms. (2) A compact overview of the foundations of fuzzy logic, and a comprehensive treatment of fuzzy nonlinear dynamical predictor systems in terms of fuzzy cognitive maps. Readers interested in new ways of causal modeling and nonlinear forecasting are introduced to fuzzy knowledge engineering as a paradigm shift in intelligent computing. (3) New perspectives for evolutionary computing with an integro-differential operator from parity logic, and a systematic elaboration of autogenetic algorithms for search in high dimensional feature spaces. Readers interested in fast computing, practical applications of causal reasoning with fuzzy logic, and interactive experimental control environments as based on evolutionary computing, will gain significant insights into a variety of computational power tools.


Action Analysis Cognitive science Perception Scratch algorithms evolution evolutionary computation fuzzy genetic algorithm genetic algorithms logic modeling object oriented design

Authors and affiliations

  • Michael┬áZaus
    • 1
  1. 1.Institute for Cognitive ScienceUniversity of OldenburgOldenburgGermany

Bibliographic information

  • DOI
  • Copyright Information Physica-Verlag Heidelberg 1999
  • Publisher Name Physica, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-11380-6
  • Online ISBN 978-3-7908-1879-6
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site