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Minimizing Regret in Dynamic Decision Problems Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Extracting Decision Rules from Qualitative Data Using Sugeno Integral: A Case-Study

Authors : Didier Dubois, Claude Durrieu, Henri Prade, Agnès Rico, Yannis Ferro

Published in: Symbolic and Quantitative Approaches to Reasoning with Uncertainty

Publisher: Springer International Publishing

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Abstract

This paper deals with knowledge extraction from experimental data in multifactorial evaluation using Sugeno integrals. They are qualitative criteria aggregations where it is possible to assign weights to groups of criteria. A method for deriving such weights from data is recalled. We also present results in the logical representation of Sugeno integrals. Then we show how to extract if-then rules expressing the selection of good situations on the basis of local evaluations, and rules to detect bad situations. We illustrate such methods on a case-study in the area of water ecosystem health.

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previous chapter Minimizing Regret in Dynamic Decision Problems
next chapter Elicitation of a Utility from Uncertainty Equivalent Without Standard Gambles
Footnotes
1
In order to compare \(\max _{k} \check{\mu }_{x^k,\alpha _k}\) and \(\min _k \hat{\mu }_{x^k,\alpha _k}\) it is not necessary to calculate their values and to compare them on each subset of criteria. It is proved in [14] that the set of compatible capacities is not empty if and only if for all \(\alpha _ k < \alpha _l\) we have \(\{ i| x^l_i \ge \alpha _l\} \not \subseteq \{ i| x^k_i > \alpha _k\}\).
 
Literature
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Dubois, D., Marichal, J.-L., Prade, H., Roubens, M., Sabbadin, R.: The use of the discrete Sugeno integral in decision making: a survey. Int. J. Uncertainty Fuzziness Knowl. Based Syst. 9, 539–561 (2001)MathSciNetMATH
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Dubois, D., Prade, H.: Qualitative possibility functions and integrals. In: Pap, E. (ed.) Handbook of Measure Theory, pp. 1469–1521. Elsevier, Amsterdam (2002)
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Metadata
Title
Extracting Decision Rules from Qualitative Data Using Sugeno Integral: A Case-Study
Authors
Didier Dubois
Claude Durrieu
Henri Prade
Agnès Rico
Yannis Ferro
Copyright Year
2015
Book
Symbolic and Quantitative Approaches to Reasoning with Uncertainty

Print ISBN: 978-3-319-20806-0

Electronic ISBN: 978-3-319-20807-7

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-20807-7_2

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