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Journals and Conferences
This paper will discuss and characterise the cardinality of boolean (crisp) and fuzzy relations. The main result is a Dedekind inequality for the cardinality, which enables us to manipulate the… (More)
The aim of this thesis is to develop the fuzzy relational calculus. To develop this calculus, we study four algebraic formalisations of fuzzy relations which are called fuzzy relation algebras, Zadeh… (More)
This paper presents a relational treatment of inference rules for functional and multivalued dependencies in relational databases, to show the soundness and the completeness of the inference rules in… (More)
This paper presents an elementary and self-contained proof of an existence theorem of nal coalgebras for endofunctors on the category of sets and functions.
This paper provides an algebraic formalization of mathematical structures formed by fuzzy relations with sup-min composition. A simple proof of a representation theorem for Boolean relation algebras… (More)
This paper studies notions of scalar relations and crispness of relations.
This note presents a new formalization of graph rewritings which generalizes traditional graph rewritings. Relational notions of graphs and their rewritings are introduced and several properties… (More)
This paper provides a notion of Zadeh categories as a categorical structure formed by fuzzy relations with sup-min composition, and proves two representation theorems for Dedekind categories… (More)