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Positive and Negative Reasons in Interval Comparisons: Valued PQI Interval Orders

Ozturk, Meltem; Tsoukiàs, Alexis (2004), Positive and Negative Reasons in Interval Comparisons: Valued PQI Interval Orders, IPMU-04, Information Processing and Management of Uncertainty in Knowledge-based Systems, Perugia, ITALY

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Type
Communication / Conférence
Date
2004
Conference title
IPMU-04, Information Processing and Management of Uncertainty in Knowledge-based Systems
Conference city
Perugia
Conference country
ITALY
Metadata
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Author(s)
Ozturk, Meltem
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Tsoukiàs, Alexis cc
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)
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.
Subjects / Keywords
valued similarity; interval orders; PQI interval orders; valued relations