A possibilistic interpretation of fuzzy sets by the context model

The context model provides a formal framework for the representation, interpretation, and analysis of vague and uncertain data. The authors apply the context model to clarify the numerical foundations of fuzzy set theory and some well-known concepts like the extension principle. They introduce the semantic background of the context model, especially the concept of valuated vague characteristics. Some relationships between the context model and possibility theory are discussed. The epistemic and physical interpretation of fuzzy sets is dealt with by the context model.<>