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The book explores Goguen categories, which enhance the relational calculus within the context of fuzzy logic. It begins with foundational concepts like sets, binary relations, and lattices, then delves into various categorical formulations such as allegories and Dedekind categories. Highlighting the limitations of existing theories in capturing fuzzy relations, it introduces Goguen categories and offers an in-depth analysis of their structures, representation theory, and the definability of norm-based operations.
Buchkauf
Goguen Categories, Michael Winter
- Sprache
- Erscheinungsdatum
- 2007
- product-detail.submit-box.info.binding
- (Hardcover)
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- Titel
- Goguen Categories
- Untertitel
- A Categorical Approach to L-Fuzzy Relations
- Sprache
- Englisch
- Autor*innen
- Michael Winter
- Erscheinungsdatum
- 2007
- Einband
- Hardcover
- Seitenzahl
- 208
- ISBN13
- 9781402061639
- Kategorie
- Philosophie
- Beschreibung
- The book explores Goguen categories, which enhance the relational calculus within the context of fuzzy logic. It begins with foundational concepts like sets, binary relations, and lattices, then delves into various categorical formulations such as allegories and Dedekind categories. Highlighting the limitations of existing theories in capturing fuzzy relations, it introduces Goguen categories and offers an in-depth analysis of their structures, representation theory, and the definability of norm-based operations.