Fuzzy Relational Systems

Name: Fuzzy Relational Systems
Brand: Springer, Berlin
SKU: 9781461351689
Price: 829.14 RON
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Foundations and Principles

Autor: Radim Belohlávek

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Editura: Springer, Berlin

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This book deals with fuzzy relational systems, i.e. with systems of fuzzy relations defined on a set...

Informații despre carte

Autor

Radim Belohlávek

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2012

Pagini

369

EAN

9781461351689

ISBN

1461351685

Enbook ID

02186914

Editura

Springer, Berlin

Greutate

728

Dimensiuni

178 x 20 x 20

Descriere completă

This book deals with fuzzy relational systems, i.e. with systems of fuzzy relations defined on a set. Fuzzy relational systems represent mathematical framework for fuzzy relational modeling 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 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 a bibliography and an index of key terms. The book provides a general framework for dealing with fuzzy relational systems and brings several new results.

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Fuzzy Relational Systems

Foundations and Principles

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