Fuzzy Relational Systems

Foundations and Principles

Radim Belohlávek

$370.95 $296.98

Hardback

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English

Kluwer Academic/Plenum Publishers
30 June 2002

Set theory; Fuzzy set theory

Series: IFSR International Series in Systems Science and Systems Engineering

Summary
Details

This study deals with fuzzy relational systems, in other words, systems of fuzzy relations defined on a set. Fuzzy relational systems represent a mathematical framework for fuzzy relational modelling which is the most successful part of fuzzy logic. The book deals with foundational aspects of fuzzy relational systems. It starts (Chapter 2) with motivations and discussions about fuzzy approach. The result of this are some requirements for the structures of truth values for fuzzy logic. These structures are analyzed in subsequent sections. Chapter 3 is a key one and develops a general theory of fuzzy relational systems, paying special attention to issues which are degenerate in classical ""non-fuzzy"" case. Chapter 4 deals with binary fuzzy relations and particularly with similarity and order, two of the most frequently used types of binary relations. Chapter 5 deals with binary fuzzy relations (interpreted as fuzzy relations between a set of objects and a set of attributes) and formal analysis of such relations. Chapter 6 focuses on the problem of composition and decomposition of binary fuzzy relations. Chapter 7 contains miscellaneous topics: fuzzy closure operators; similarity spaces; selected applications; and a formal deductive system of fuzzy logic. Each Chapter is closed by bibliographical remarks. The book contains bibliography and an index of key terms. The book provides a general framework for dealing with fuzzy relational systems and brings several new results.

By: Radim Belohlávek
Imprint: Kluwer Academic/Plenum Publishers
Country of Publication: United States
Edition: 2002 ed.
Volume: 20
Dimensions: Height: 254mm, Width: 178mm, Spine: 22mm
Weight: 2.090kg
ISBN: 9780306467776
ISBN 10: 0306467771
Series: IFSR International Series in Systems Science and Systems Engineering
Pages: 369
Publication Date: 30 June 2002
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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Fuzzy Relational Systems

Foundations and Principles

Radim Belohlávek

$370.95 $296.98

Hardback

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