Rule-Based Fuzzy Reasoning Petri Nets

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Fuzzy production rule-based system is modeled in fuzzy reasoning Petri Net (FRPN). The current research related to a fuzzy reasoning mechanism over the Petri Net (PN) structure rather than utilizing the PN formalism to improve the efficiency of fuzzy reasoning. The relationship between PN and PN with knowledge representation and reasoning remains unexploited in the most of the present research so that PN theory could be used into proposition logic reasoning efficiently. Moreover, the existing FPN models are unable to address the negation issue in the knowledge-based system, which is important because an antecedent(s) and/or a consequent(s) of rule in knowledge-base may be negative literal. In the present paper, an attempt has been done to explore the similarity and difference between discrete event system (DES) and rule-based system. We propose the concept of fuzzy reasoning Petri Nets (FRPNs) for rule-based representation. We define a formal FRPN and its execution rules along with an efficient reasoning algorithm with parallel reasoning ability. The algorithm is consistent with the matrix equation method in the traditional PNs and allows one to exploit the maximum parallel reasoning potential embedded in the model. The complexity of the algorithm is given.
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Discrete Event System; Fuzzy Reasoning; Fuzzy Relations; Negative Literal; Proposition Logic

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