0000000000683903
AUTHOR
Hilarion Josaphat Mfouka
Quasi order, pseudo order and not order
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.
De l'effet d'imprécision et du paradoxe de la non ponctualité des seuils vers la définition de quelques concepts et principes de modélisation des préférences
(EN) This survey deals with conceptual and theoritical basis of imprecise preference modelling. From the establishment of non-punctuality of the imprecise preference threshold, imprecise discrimination power is set. This involves that the modelling preference relation tool is composite. Which allows a generalization of the limited comparability principle and an introduction of new concepts which adapt to this theoritical framework.(FR) Ce travail pose les fondements conceptuels et théoriques de la modélisation des préférences imprécises. A partir du constat de non ponctualité des seuils de préférence, il pose le principe du pouvoir discriminant imprécis. Il en résulte que l'outil relationne…