6533b86ffe1ef96bd12ce50f

RESEARCH PRODUCT

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

Claude Ponsard

subject

OrderingRelation ordre total[ MATH ] Mathematics [math]DiversEnsemble flouRelation ordreModeling[MATH] Mathematics [math]Operational researchClassement nombre flouMiscellaneousModélisationFuzzy setRecherche opérationnelle

description

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.

https://hal.archives-ouvertes.fr/hal-01534191