Note on the ranking of fuzzy numbers: conditions for a total order relation

Claude Ponsard (1)

1 IME - Institut de mathématiques économiques

It is well-known that the set of fuzzy numbers is not ordered. The author states the conditions which have to be satisfied so that the problem of ranking fuzzy numbers has a solution. In fact, the subset of fuzzy numbers, the elements of which are strictly defined and continuous,is endowed with a total order relation.

On pose les conditions devant être satisfaites pour que le problème de classer des nomisnes ait une solution

Mots clés: Fuzzy set; Miscellaneous; Modeling; Operational research; Ordering

Mots clés: Classement nombre flou; Divers; Ensemble flou; Modélisation; Recherche opérationnelle; Relation ordre total; Relation ordre

Domaines: Mathématiques [math]

Claude Ponsard. Note on the ranking of fuzzy numbers: conditions for a total order relation. [Research Report] Institut de mathématiques économiques (IME). 1988, 6 p., ref. bib. : 5 ref. ⟨hal-01534191⟩