|
Categorical Representation Theorems of Fuzzy Relations (1996) |
- Kawahara, Yasuo,
- Furusawa, Hitoshi,
- Mori, Masao,
- 河原, 康雄,
- 古澤, 仁,
- 森, 雅生
|
Abstract |
|
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 categories) with a unit object analogous to one-point set, and for Zadeh categories without unit objects. |
Publication details |
| Download |
http://hdl.handle.net/2324/2998 |
| Publisher |
Department of Informatics, Kyushu University,
九州大学大学院システム情報科学研究院情報理学部門
|
| Contributors |
Department of Informatics Kyushu University[Kawahara, Furusawa, Mori],
九州大学大学院システム情報科学研究院情報理学部門[河原, 古澤, 森]
|
| Repository |
Kyushu University Institutional Repository(QIR) (Japan) |
| Keywords |
fuzzy relations, relation algebras, representation theorem, Dedekind categories, Zadeh category
|
| Type |
テクニカルレポート,
Technical Report
|
| Language |
Englisch
|
| Relation |
124,
DOI Technical Report,
http://www.i.kyushu-u.ac.jp/research/report.html |
|