Belief functions on general intuitionistic fuzzy information systems

This paper studies probability problems of intuitionistic fuzzy sets and the belief structure of general intuitionistic fuzzy information systems. First, for some special intuitionistic fuzzy sets, a probability is defined by using the integral operations on the level sets, and its properties are discussed. Then using this probability, a mass function of an intuitionistic fuzzy information system is constructed. A novel pair of belief and plausibility functions are defined by employing the (I,T)(I,T) intuitionistic fuzzy lower and upper approximation operators. Finally, an example in decision analysis is employed to illustrate the application of the new belief and plausibility functions.