Goguen Categories

Focusing on the advancement of relational calculus into fuzzy logic, the book explores Goguen categories as a means to bridge traditional concepts like sets and binary relations with fuzzy frameworks. It critiques existing theories such as allegories and Dedekind categories for their limitations in handling fuzzy relations. The text delves into the unique properties of Goguen categories, offering an in-depth examination of their representation theory and the definability of norm-based operations, providing a substantial contribution to the field of fuzzy mathematics.