Abstract: In the theory of uncertainty reasoning, inclusion measure is an effective tool for measuring the degree to which one set is contained in another set, We introduced a new definition of inclusion measure; hybrid monotonic inclusion measure on intuitionistic fuzzy sets (IFH inclusion measure for short). Based on which, several kinds of IFH inclusion measures were constructed, and the rationalities of which were proved. Then cetain distributivity and T-transitivity of some special IFH inclusion measures were investigated. And the use of IFH inclusion measures in pattern matching of knowledge was discussed. So this paper provided us with operational methods for measuring the degree to which an intuitionistic fuzzy set is contained in another intuitionistic fuzzy set as well as enriching the theory of inclusion measure.

Key words: Inclusion measure, Intuitionistic fuzzy sets, Hybrid monotonic inclusion measure