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Categorical representation theorem of fuzzy relations (1996)

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/2324/3617
Publisher Elsevier
Contributors 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
Repository Kyushu University Institutional Repository(QIR) (Japan)
Keywords fuzzy relations, relation algebras, representation theorem, Dedekind categories, Zadeh category
Type 学術雑誌論文, Journal Article
Language Englisch
Relation http://hyoka-inf.ofc.kyushu-u.ac.jp/~mori/
http://www.sci.kagoshima-u.ac.jp/~furusawa/
http://www.i.kyushu-u.ac.jp/~kawahara/