Preservation of properties of fuzzy relations during aggregation processes
Józef Drewniak, Urszula Dudziak (2007)
Kybernetika
Similarity:
Diverse classes of fuzzy relations such as reflexive, irreflexive, symmetric, asymmetric, antisymmetric, connected, and transitive fuzzy relations are studied. Moreover, intersections of basic relation classes such as tolerances, tournaments, equivalences, and orders are regarded and the problem of preservation of these properties by -ary operations is considered. Namely, with the use of fuzzy relations and -argument operation on the interval , a new fuzzy relation is created....