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

Authors:
Zofia Matusiewicz;Krzysztof Pancerz
Affiliations:
University of Information Technology and Management, Rzeszów, Poland 35-225;University of Information Technology and Management, Rzeszów, Poland 35-225 and College of Management and Public Administration, Zamość, Poland 22-400
Venue:
RSCTC '08 Proceedings of the 6th International Conference on Rough Sets and Current Trends in Computing
Year:
2008

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Abstract

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