6533b7d9fe1ef96bd126d436

RESEARCH PRODUCT

Quasi order, pseudo order and not order

Hilarion Josaphat Mfouka

subject

[ MATH ] Mathematics [math]Control theoryStatistics[MATH] Mathematics [math]Operations researchOperational researchRecherche opérationnelleAutomatique

description

This study, after having presented the structure of total semi-order and that of pseudo-order one, presents a new preference structure called non order. This one generalizes both the semi-order structure and the pseudo-order one. The details analysis are based on the usual concepts of the relationnal approach of preference modelling and on some new concepts and principles which fit the imprecise context. These new principles are : imprecise discriminant power, imprecise transitivity, imprecise intransitivity and generalized limited comparability. The new concepts are : preference relationnal constituent and preference relationnal state.

https://hal.archives-ouvertes.fr/hal-01526967