On a correspondence between probabilistic and fuzzy choice functions |
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| Authors: | Davide Martinetti Susana Montes Susana Díaz Bernard De Baets |
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| Institution: | 1.Department of Statistics and Operative Research,University of Oviedo,Oviedo,Spain;2.KERMIT, Department of Mathematical Modelling, Statistics and Bioinformatics,Ghent University,Ghent,Belgium |
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| Abstract: | Probabilistic and fuzzy choice functions are used to describe decision situations in which some degree of uncertainty or imprecision is involved. We propose a way to equate these two formalisms by means of residual implication operations. Furthermore, a set of new rationality conditions for probabilistic choice functions is proposed and proved to be sufficient to ensure that the associated fuzzy choice function is rational. |
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