Rough Communication Based on the General Relationship and Fuzzy Relationship

The communication between the information systems is a basic problem in granular computing. In this paper, the equivalence relation in the information system is extended to the general binary relation. Lower approximation rough communication models based on general binary relations are proposed. The fundamental properties of the new models are investigated. Furthermore, the six composition operators of lower and upper approximation operators form three pairs of dual operators. Based on the three pairs of dual operators, new models of rough communication are constructed. Finally, fuzzy rough communication is proposed. Gain degree and loss degree are proposed to judge the fuzzy rough communication.