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Decision Making by Hybrid Probabilistic - Possibilistic Utility Theory

Endre Pap ()
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Endre Pap: Department of Mathematics and Informatics, University Novi Sad and Academy of Sciences and Arts of Vojvodina, Novi Sad, Serbia

Panoeconomicus, 2009, vol. 56, issue 4, pages 421-433

Abstract: It is presented an approach to decision theory based upon nonprobabilistic uncertainty. There is an axiomatization of the hybrid probabilisticpossibilistic mixtures based on a pair of triangular conorm and triangular norm satisfying restricted distributivity law, and the corresponding non-additive Smeasure. This is characterized by the families of operations involved in generalized mixtures, based upon a previous result on the characterization of the pair of continuous t-norm and t-conorm such that the former is restrictedly distributive over the latter. The obtained family of mixtures combines probabilistic and idempotent (possibilistic) mixtures via a threshold.

Keywords: Decision making; Utility theory; Possibilistic mixture; Hybrid probabilistic- possibilistic mixture; Triangular norm; Triangular conorm; Pseudoadditive measure. (search for similar items in EconPapers)
JEL-codes: C44 L97 (search for similar items in EconPapers)
Date: 2009
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