Material Classification from Imprecise Chemical Composition : Probabilistic vs Possibilistic Approach

In this paper we propose a method of explainable material classification from imprecise chemical compositions. The problem of classification from imprecise data is addressed with a fuzzy decision tree whose terms are learned by a clustering algorithm. We deduce fuzzy rules from the tree, which will provide a justification of the result of the classification. Two opposed approaches are compared : the probabilistic approach and the possibilistic approach.

[1]  Mathieu Serrurier,et al.  A Possibilistic Rule-Based Classifier , 2012, IPMU.

[2]  Lorène Allano,et al.  Visual Analytics to Check Marine Containers in the Eritr\@c Project , 2010, EuroVAST@EuroVis.

[3]  Peter A. Flach,et al.  Soft Discretization to Enhance the Continuous Decision Tree Induction , 2001 .

[4]  Wlodzislaw Duch,et al.  Uncertainty of data, fuzzy membership functions, and multilayer perceptrons , 2005, IEEE Transactions on Neural Networks.

[5]  Takamasa Akiyama,et al.  Application of Fuzzy Decision Tree to Analyze the Attitude of Citizens for Wellness City Development , 2016, 2016 Joint 8th International Conference on Soft Computing and Intelligent Systems (SCIS) and 17th International Symposium on Advanced Intelligent Systems (ISIS).

[6]  G. Klir,et al.  MEASURES OF UNCERTAINTY AND INFORMATION BASED ON POSSIBILITY DISTRIBUTIONS , 1982 .

[7]  Delbert Dueck,et al.  Clustering by Passing Messages Between Data Points , 2007, Science.

[8]  P. Tseng,et al.  Statistical Data Analysis Based on the L1-Norm and Related Methods , 2002 .

[9]  R. Haftka,et al.  Comparison of Probability and Possibility for Design Against Catastrophic Failure Under Uncertainty , 2004 .

[10]  Sau Dan Lee,et al.  Decision Trees for Uncertain Data , 2011, IEEE Transactions on Knowledge and Data Engineering.

[11]  Theodosios Pavlidis,et al.  Fuzzy Decision Tree Algorithms , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[12]  Louis Wehenkel,et al.  A complete fuzzy decision tree technique , 2003, Fuzzy Sets Syst..

[13]  Y. Dodge on Statistical data analysis based on the L1-norm and related methods , 1987 .

[14]  Ilyes Jenhani,et al.  Decision trees as possibilistic classifiers , 2008, Int. J. Approx. Reason..