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On the Informational Comparison of Qualitative Fuzzy Measures

Dubois, Didier and Prade, Henri and Rico, Agnès On the Informational Comparison of Qualitative Fuzzy Measures. (2014) In: International Conference, Information Processing and Management of Uncertainty in Knowledge-based Systems - IPMU 2014, 15 July 2014 - 19 July 2014 (Montpellier, France).

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Official URL: http://dx.doi.org/10.1007/978-3-319-08795-5_23


Fuzzy measures or capacities are the most general representation of uncertainty functions. However, this general class has been little explored from the point of view of its information content, when degrees of uncertainty are not supposed to be numerical, and belong to a finite qualitative scale, except in the case of possibility or necessity measures. The thrust of the paper is to define an ordering relation on the set of qualitative capacities expressing the idea that one is more informative than another, in agreement with the possibilistic notion of relative specificity. To this aim, we show that the class of qualitative capacities can be partitioned into equivalence classes of functions containing the same amount of information. They only differ by the underlying epistemic attitude such as pessimism or optimism. A meaningful information ordering between capacities can be defined on the basis of the most pessimistic (resp. optimistic) representatives of their equivalence classes. It is shown that, while qualitative capacities bear strong similarities to belief functions, such an analogy can be misleading when it comes to information content.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. The definitive version is available at http://link.springer.com/chapter/10.1007%2F978-3-319-08795-5_23
HAL Id:hal-01147279
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Université Lumière-Lyon 2 (FRANCE)
Laboratory name:
Deposited On:01 Apr 2015 12:10

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