Generation of rules from incomplete information systems

Abstract

In the paper we define certain and possible rules in an incomplete information system as certain/possible ones in every completion of the initial system. The careful examination of the dependencies between an incomplete system and its completions allow us to state that it is feasible to generate all certain rules and some important class of possible rules directly from the incomplete information system. Space complexity of the proposed method of rules' generation is linear with regard to the number of objects in the initial system.