Abstract
We consider extensions of some classical rational axioms introduced in conventional choice theory to valued preference relations. The concept of kernel is revisited using two ways : one proposes to determine kernels with a degree of qualification and the other presents a fuzzy kernel where every element of the support belongs to the rational choice set with a membership degree. Links between the two approaches is emphasized. We exploit these results in Multiple-attribute Decision Aid to determine the good and bad choices. All the results are valid if the valued preference relations are evaluated on a finite ordinal scale.
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Bisdorff, R., Roubens, M. (2004). Choice Procedures in Pairwise Comparison Multiple-Attribute Decision Making Methods. In: Berghammer, R., Möller, B., Struth, G. (eds) Relational and Kleene-Algebraic Methods in Computer Science. RelMiCS 2003. Lecture Notes in Computer Science, vol 3051. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24771-5_1
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DOI: https://doi.org/10.1007/978-3-540-24771-5_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22145-6
Online ISBN: 978-3-540-24771-5
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