Rough Set Flow Graphs and Max - * Fuzzy Relation Equations in State Prediction Problems

摘要

The paper makes the first attempt to combine two methodologies concerning uncertainty and fuzzy reasoning, namely rough set flow graphs and fuzzy relation equations. Rough set flow graphs proposed by Z. Pawlak are a useful tool for the knowledge representation. In this paper, we use them to represent the knowledge of transitions between states included in multistage dynamic information systems. The knowledge represented by flow graphs is a basis for determining possibilities of appearances of states in the future using the max - * fuzzy composition. In the approach proposed in the paper, we take advantage of some properties of the max - * fuzzy relation equations.