Human expert fusion for image classification

In image classification, merging the opinion of several huma n experts is very important for different tasks such as the evaluation or the t raining. Indeed, the ground truth is rarely known before the scene imaging. We propose here different models in order to fuse the informations given by two or more experts. The considered unit for the classification, a small tile of the im age, can contain one or more kind of the considered classes given by the experts. A second problem that we have to take into account, is the amount of certainty of the expert has for each pixel of the tile. In order to solve these problems we define fiv e models in the context of the Dempster-Shafer Theory and in the context of the Dezert-Smarandache Theory and we study the possible decisions with these models.

[1]  Adam Krzyżak,et al.  Methods of combining multiple classifiers and their applications to handwriting recognition , 1992, IEEE Trans. Syst. Man Cybern..

[2]  L. Zadeh Fuzzy sets as a basis for a theory of possibility , 1999 .

[3]  Ching Y. Suen,et al.  Application of majority voting to pattern recognition: an analysis of its behavior and performance , 1997, IEEE Trans. Syst. Man Cybern. Part A.

[4]  Philippe Smets,et al.  Belief functions: The disjunctive rule of combination and the generalized Bayesian theorem , 1993, Int. J. Approx. Reason..

[5]  A. Martin Comparative study of information fusion methods for sonar images classification , 2005, 2005 7th International Conference on Information Fusion.

[6]  Jean Dezert,et al.  The Generalized Pignistic Transformation , 2004, ArXiv.

[7]  Philippe Smets,et al.  Belief functions: The disjunctive rule of combination and the generalized Bayesian theorem , 1993, Int. J. Approx. Reason..

[8]  Florentin Smarandache,et al.  Advances and Applications of DSmT for Information Fusion , 2004 .

[9]  R. Yager On the dempster-shafer framework and new combination rules , 1987, Inf. Sci..

[10]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[11]  Philippe Smets,et al.  The Combination of Evidence in the Transferable Belief Model , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  Jean Dezert,et al.  The Generalized Pignistic Transform , 2004 .

[13]  Henri Prade,et al.  Representation and combination of uncertainty with belief functions and possibility measures , 1988, Comput. Intell..

[14]  J. Dezert,et al.  Information fusion based on new proportional conflict redistribution rules , 2005, 2005 7th International Conference on Information Fusion.

[15]  Jean Dezert,et al.  Applications and Advances of DSmT for Information Fusion , 2004 .

[16]  Arie Tzvieli Possibility theory: An approach to computerized processing of uncertainty , 1990, J. Am. Soc. Inf. Sci..

[17]  Arthur P. Dempster,et al.  Upper and Lower Probabilities Induced by a Multivalued Mapping , 1967, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[18]  Philippe Smets,et al.  Constructing the Pignistic Probability Function in a Context of Uncertainty , 1989, UAI.