CRISPNESS IN DEDEKIND CATEGORIES (2001)
Kawahara, Yasuo, Furusawa, Hitoshi, 河原, 康雄, 古澤, 仁
This paper studies notions of scalar relations and crispness of relations in terms of Dedekind categories. It is well-known that a category of $ L $-relations in the sense of Goguen is a Dedekind...
This paper provides a proof of a representation theorem for homogeneous relation algebras by using concepts of scalar relations and point relations.
Crispness and Representation Theorem in Dedekind Categories (1997)
Kawahara, Yasuo, Furusawa, Hitoshi, 河原, 康雄, 古澤, 仁
This paper studies notions of scalar relations and crispness of relations.
AN ALGEBRAIC CHARACTERIZATION OF CARTESIAN PRODUCTS OF FUZZY RELATIONS (1997)
This paper provides an algebraic characterization of mathematical structures formed by cartesian products of fuzzy relations with sup-min composition. A simple proof of a representation theorem for...
Categorical Representation Theorems of Fuzzy Relations (1996)
Kawahara, Yasuo, Furusawa, Hitoshi, Mori, Masao, 河原, 康雄, 古澤, 仁, 森, 雅生
his 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 (relation...
Categorical representation theorem of fuzzy relations (1996)
Kawahara, Yasuo, Furusawa, Hitoshi, Mori, Masao, 河原, 康雄, 古澤, 仁, 森, 雅生
his 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 (relation...
An Algebraic Formalization of Fuzzy Relations (1995)
Kawahara, Yasuo, Furusawa, Hitoshi, 河原, 康雄, 古澤, 仁
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...