Representation of unbalanced terms in multi-valued logic

Various approaches were proposed to represent and treat imperfect knowledge, in particular fuzzy logic and multivalued logic. Such knowledge is generally expressed with uniformly distributed linguistic term sets. However, in many cases, we need to describe information with unbalanced term sets. In our work we introduce a new approach to represent such term sets. It corresponds to an algorithm which unifies data expressed in different multi-sets on a same uniform scale. This latter can be integrated into a linguistic reasoning process with unbalanced multi-sets (using linguistic modifiers, approximate reasoning,...).