Mathematical Principles of Fuzzy Logic

  • Vilém Novák
  • Irina Perfilieva
  • Jiří Močkoř

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Vilém Novák, Irina Perfilieva, Jiří Močkoř
    Pages 1-14
  3. Vilém Novák, Irina Perfilieva, Jiří Močkoř
    Pages 15-60
  4. Vilém Novák, Irina Perfilieva, Jiří Močkoř
    Pages 61-93
  5. Vilém Novák, Irina Perfilieva, JiŘí Močkoř
    Pages 95-178
  6. Vilém Novák, Irina Perfilieva, JiŘí Močkoř
    Pages 179-222
  7. Vilém Novák, Irina Perfilieva, JiŘí Močkoř
    Pages 223-257
  8. Vilém Novák, Irina Perfilieva, JiŘí Močkoř
    Pages 259-297
  9. Vilém Novák, Irina Perfilieva, JiŘí Močkoř
    Pages 299-303
  10. Back Matter
    Pages 305-320

About this book

Introduction

Mathematical Principles of Fuzzy Logic provides a systematic study of the formal theory of fuzzy logic. The book is based on logical formalism demonstrating that fuzzy logic is a well-developed logical theory. It includes the theory of functional systems in fuzzy logic, providing an explanation of what can be represented, and how, by formulas of fuzzy logic calculi. It also presents a more general interpretation of fuzzy logic within the environment of other proper categories of fuzzy sets stemming either from the topos theory, or even generalizing the latter.
This book presents fuzzy logic as the mathematical theory of vagueness as well as the theory of commonsense human reasoning, based on the use of natural language, the distinguishing feature of which is the vagueness of its semantics.

Keywords

Mathematica fuzzy fuzzy logic fuzzy sets logic model theory natural language semantics

Authors and affiliations

  • Vilém Novák
    • 1
  • Irina Perfilieva
    • 2
    • 1
  • Jiří Močkoř
    • 1
  1. 1.Institute for Research and Applications of Fuzzy ModelingUniversity of OstravaOstrava 1Czech Republic
  2. 2.Moscow State Academy of Instrument MakingMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-5217-8
  • Copyright Information Kluwer Academic Publishers 1999
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-7377-3
  • Online ISBN 978-1-4615-5217-8
  • Series Print ISSN 0893-3405
  • About this book