Hybrid monotonic inclusion measure and its use in measuring simi...

In fuzzy set theory, all inclusion measure indicates the degree to which a given fuzzy set is contained in another fuzzy set. In this paper, we introduce a new definition of inclusion measure: hybrid monotonic inclusion measure (S inclusion measure for short). Some inclusion measures defined by other authors and us are proved to be S inclusion measures. Ill addition, as the rational generalization of crisp inclusion relation, we prove most of the S inclusion measures possess some kind of J-trans