Abstract: An information system is called an ordered information system if the domains of all condition attributes are ordered according preference. Firstly,the defects of interval-valued ordered information systems that do not include the probability distribution were analyzed and probability-based ordered information systems were proposed. Secondly, the approaches of establishing the outranking relation between objects with respect to attributes with monotonic preference and non-monotonic preference in probability-based ordered information systems were given respectively,and a probability-based dominance relation was defined, and the rough set model based on the probability-based dominance relation was presented. Finally, the probability-based ordered decision tables were defined, and the decision rules from probability-based ordered decision tables were researched.

Key words: Interval-valued ordered information systems, Probability, Rough sets, Decision rules