Trends in Logic

Goguen Categories

A Categorical Approach to L-fuzzy Relations

Authors: Winter, Michael

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  • Rigorous application of formal logics to fuzzy concepts
  • A mathematical introduction to fuzzy concepts for researchers in formal logics
  • Unique approach to formal semantics of fuzzy controllers
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eBook $119.00
price for USA in USD
  • ISBN 978-1-4020-6164-6
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  • Bulk discounts from 10 eBooks
Hardcover $159.99
price for USA in USD
Softcover $159.99
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About this book

Goguen categories extend the relational calculus and its categorical formalization to the fuzzy world. Starting from the fundamental concepts of sets, binary relations and lattices this book introduces several categorical formulations of an abstract theory of relations such as allegories, Dedekind categories and related structures. It is shown that neither theory is sufficiently rich to describe basic operations on fuzzy relations. The book then introduces Goguen categories and provides a comprehensive study of these structures including their representation theory, and the definability of norm-based operations.

The power of the theory is demonstrated by a comprehensive example. A certain Goguen category is used to specify and to develop a fuzzy controller. Based on its abstract description as well as certain desirable properties and their formal proofs, a verified controller is derived without compromising the - sometimes - intuitive choice of norm-based operations by fuzzy engineers.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-1-4020-6164-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts from 10 eBooks
Hardcover $159.99
price for USA in USD
Softcover $159.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Goguen Categories
Book Subtitle
A Categorical Approach to L-fuzzy Relations
Authors
Series Title
Trends in Logic
Series Volume
25
Copyright
2007
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-6164-6
DOI
10.1007/978-1-4020-6164-6
Hardcover ISBN
978-1-4020-6163-9
Softcover ISBN
978-90-481-7554-3
Series ISSN
1572-6126
Edition Number
1
Number of Pages
XII, 208
Topics