Crispness and Representation Theorem in Dedekind Categories (1997)
Hithoshi Furusawa, Yasuo Kawahara, Yasuo Kawahara, Hitoshi Furusawa
This paper studies notions of scalar relations and crispness of relations.
Categorical Representation Theorems of Fuzzy Relations (1996)
Yasuo Kawahara, Hithoshi Furusawa, Masao Mori
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...
An Algebraic Formalization of Fuzzy Relations (1995)
Yasuo Kawahara, Hithoshi Furusawa
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...