Decision Making by Hybrid Probabilistic - Possibilistic Utility Theory
AbstractIt 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.
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Bibliographic InfoArticle provided by Savez ekonomista Vojvodine, Novi Sad, Serbia in its journal Panoeconomicus.
Volume (Year): 56 (2009)
Issue (Month): 4 (December)
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Web page: http://www.panoeconomicus.rs/
Decision making; Utility theory; Possibilistic mixture; Hybrid probabilistic- possibilistic mixture; Triangular norm; Triangular conorm; Pseudoadditive measure.;
Find related papers by JEL classification:
- C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
- L97 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Utilities: General
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