Positive and Negative Reasons in Interval Comparisons: Valued PQI Interval Orders
Alexis Tsoukiàs, Meltem Öztürk · Base Institutionnelle de Recherche de l'université Paris-Dauphine (BIRD) (University Paris-Dauphine) · 2004
The paper presents some preliminaryresults concerning the comparison ofintervals using a continuous evaluationof positive and negative reasons. Moreprecisely we present a valued extensionof the recently introduced conceptof PQI interval order. The main ideais that, while comparing objects representedby intervals of values, thereis a zone of hesitation between strictdifference and strict similarity whichcould be modelled through valued relations.The paper presents suitable definitionsof such valued relations fulfillinga number of interesting properties.The use of such a tool in data analysisand rough sets theory is discussed in thepaper.