Skip to main content
  • Book
  • © 2002

Fuzzy Relational Systems

Foundations and Principles

  • Presents a general theory of fuzzy relative systems with respect to models and methods
  • Written in a mathematical style
  • Explains the algebraic character of fuzzy relational systems using complete residual lattices
  • Surveys several aspects of fuzzy relational modeling, structure and results
  • Focuses on phenomena hidden in classical model theory, as well as, classical results in their generalized form
  • Presents the subject in a logical, self-contained fashion
  • Discusses several other important subjects on the topic of fuzzy relations and logic

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xii
  2. Preliminaries

    • Radim Bělohlávek
    Pages 1-9
  3. Fuzzy Structures

    • Radim Bělohlávek
    Pages 75-179
  4. Binary Fuzzy Relations

    • Radim Bělohlávek
    Pages 181-213
  5. Composition and Decomposition of Fuzzy Relations

    • Radim Bělohlávek
    Pages 273-298
  6. Miscellanea

    • Radim Bělohlávek
    Pages 299-355
  7. Back Matter

    Pages 357-369

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.

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access