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IFSR International Series in Systems Science and Systems Engineering

Fuzzy Relational Systems

Foundations and Principles

Authors: Belohlávek, Radim

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About this book

Since their inception, fuzzy sets and fuzzy logic became popular. The reason is that the very idea of fuzzy sets and fuzzy logic attacks an old tradition in science, namely bivalent (black-or-white, all-or-none) judg­ ment and reasoning and the thus resulting approach to formation of scientific theories and models of reality. The idea of fuzzy logic, briefly speaking, is just the opposite of this tradition: instead of full truth and falsity, our judgment and reasoning also involve intermediate truth values. Application of this idea to various fields has become known under the term fuzzy approach (or graded truth approach). Both prac­ tice (many successful engineering applications) and theory (interesting nontrivial contributions and broad interest of mathematicians, logicians, and engineers) have proven the usefulness of fuzzy approach. One of the most successful areas of fuzzy methods is the application of fuzzy relational modeling. Fuzzy relations represent formal means for modeling of rather nontrivial phenomena (reasoning, decision, control, knowledge extraction, systems analysis and design, etc. ) in the pres­ ence of a particular kind of indeterminacy called vagueness. Models and methods based on fuzzy relations are often described by logical formulas (or by natural language statements that can be translated into logical formulas). Therefore, in order to approach these models and methods in an appropriate formal way, it is desirable to have a general theory of fuzzy relational systems with basic connections to (formal) language which enables us to describe relationships in these systems.

Table of contents (7 chapters)

  • Preliminaries

    Bělohlávek, Radim

    Pages 1-9

  • Fuzzy Approach, Graded Truth, and Structures of Truth Values

    Bělohlávek, Radim

    Pages 11-73

  • Fuzzy Structures

    Bělohlávek, Radim

    Pages 75-179

  • Binary Fuzzy Relations

    Bělohlávek, Radim

    Pages 181-213

  • Object-Attribute Fuzzy Relations and Fuzzy Concept Lattices

    Bělohlávek, Radim

    Pages 215-272

Buy this book

eBook $209.00
price for USA (gross)
  • ISBN 978-1-4615-0633-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $269.00
price for USA
  • ISBN 978-0-306-46777-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $269.00
price for USA
  • ISBN 978-1-4613-5168-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fuzzy Relational Systems
Book Subtitle
Foundations and Principles
Authors
Series Title
IFSR International Series in Systems Science and Systems Engineering
Series Volume
20
Copyright
2002
Publisher
Springer US
Copyright Holder
Kluwer Academic / Plenum Publishers, New York
eBook ISBN
978-1-4615-0633-1
DOI
10.1007/978-1-4615-0633-1
Hardcover ISBN
978-0-306-46777-6
Softcover ISBN
978-1-4613-5168-9
Series ISSN
1574-0463
Edition Number
1
Number of Pages
XII, 369
Topics