Version Space Learning for Possibilistic Hypotheses

International audience; In this paper, we are interested in learning stratified hypotheses from examples and counter-examples associated with weights that express their prototypical importance. It leads to an extension of the well-known version space learning framework. In order to do that, we emphasize that the treatment of positive and negative examples in version space learning is reminding of a bipolar revision process recently studied in the setting of possibilistic information representation. Bipolarity appears when the positive and negative sides of information are specified in a distinct way. Then, we use the possibilistic bipolar representation setting, which distinguishes between what is guaranteed to be possible, and what is simply not impossible, as a basis for extending version space learning to examples associated with possibility degrees. It allows us to define a formal framework for learning layered hypotheses.