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Fuzzy knowledge representation and reasoning using a generalized fuzzy petri net and a similarity measure.

Ha, Ming-Hu; Li, Yan; Wang, Xiao-Feng

In: Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2006. 2006. URL:

Abstract: In the study of weighted fuzzy production rules (WFPRs) reasoning, we often need to consider those rules whose consequences are represented by two or more propositions connected by "AND" or "OR". To enhance the representation capability of those rules, this paper proposes two types of knowledge representation parameters, namely, the input weight and the output weight, for a rule. A Generalized Fuzzy Petri Net (GFPN) is also presented for WFPR reasoning. Furthermore, this paper gives a similarity measure to improve the evaluation method of WFPRs and the multilevel fuzzy reasoning in which the consequences and their certainty factors are deduced synchronously by using a GFPN.

Keywords: Fuzzy reasoning; Knowledge representation; Generalized fuzzy Petri net; Weighted fuzzy production rule; Similarity measure.

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