Knowledge representation using fuzzy deduction graphs

A new knowledge representation model, known as fuzzy deduction graph (FDG), is introduced in this paper. An FDG can represent a knowledge base containing the fuzzy propositions and fuzzy rules. In an FDG, a systematic method of finding the fuzzy reasoning path (FRP) is given which is based on Dijkstra´s shortest path framework. The FRP gives a relationship between the antecedent (source) proposition and consequent (goal) proposition, such that the consequent proposition is reached with the greatest fuzzy value. The process of finding the FRP is illustrated with examples,