Cut equivalence of fuzzy relations

Fuzzy relations on the same domain are classified according to the equality of families of cut sets. This equality of fuzzy relations is completely characterized, not only for unit interval valued fuzzy relations, but more generally, for fuzzy relations whose domain is a (complete) lattice. Similar results for fuzzy sets in general are considered in [12]. Applications of the results for fuzzy congruence relations are also presented.

• Type: Conference
• Year: 2003
• Where: EUSFLAT
• Authors: Branimir Seselja, Andreja Tepavcevic
• Keywords: EUSFLAT 2003, EUSFLAT 2007, Fuzzy Congruence Relations, Fuzzy Relations, Fuzzy Sets