Algebra of programming
Heterogeneous relation algebra
Relational methods in computer science
Goguen Categories: A Categorical Approach to L-fuzzy Relations
Goguen Categories: A Categorical Approach to L-fuzzy Relations
Fuzzy Sets and Systems
Relational Mathematics
Relation algebraic approaches to fuzzy relations
RAMICS'11 Proceedings of the 12th international conference on Relational and algebraic methods in computer science
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Dedekind categories provide a suitable categorical framework for lattice-valued binary relations. It is known that the notion of crispness cannot be described by the basic tools of this theory only. In this paper we will study Dedekind categories with a cutoff operator in order to circumvent this shortage. We will introduce and investigate the properties of the operator and its relationship with other tools previously used for the same purpose. The main result of this paper is a representation theorem for Dedekind categories with a cutoff operator satisfying the point axiom.