Probability rough set model based on the semantic in set-valued information system

Abstract

Set-valued information system can be used to substitute the incomplete information system, this paper analyzes the shortages of the existing typical binary relation in the set-valued information system. Considering the actual semantic of set-value, a probability equivalence relation is put forward, probability rough set model of the set-valued information system is defined, and the attribute reduction of set-valued decision information systems is discussed, which is based on the probability equivalence relation; on the basis of analysis the defects of existing dominance relation in set-valued ordered information system, a probability dominance relation is offered. The set-valued ordered decision information system is regarded as an example to demonstrate calculation of the “dominance probability” between objects in the probability dominance rough set model, and the acquisition of the probability dominance classes of objects with different values, and probability dominance decision discernibility matrix and attribute reductions.