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Double threshold orders: a new axiomatization
Author(s) -
Tsoukiàs Alexis,
Vincke Philippe
Publication year - 1998
Publication title -
journal of multi‐criteria decision analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.462
H-Index - 47
eISSN - 1099-1360
pISSN - 1057-9214
DOI - 10.1002/(sici)1099-1360(199809)7:5<285::aid-mcda200>3.0.co;2-q
Subject(s) - preference , preference relation , relation (database) , order (exchange) , mathematical economics , mathematics , computer science , econometrics , algebra over a field , pure mathematics , statistics , economics , data mining , finance
The paper presents some new results concerning the axiomatization of double threshold preference structures. Such structures, which have been introduced in order to model a situation of hesitation between the strict preference and the indifference, were not axiomatized through the use of a single characteristic relation. We give two theorems for this purpose, exploiting a four valued logic recently introduced by the authors as a preference modeling language under hesitation. © 1998 John Wiley & Sons, Ltd.