TY - GEN
T1 - Metal model based fuzzy Petri nets back propagation learning algorithm
AU - Xin, Min Tang
AU - Shi, Sheng Zhong
PY - 2006
Y1 - 2006
N2 - In fuzzy production rule-based system, fuzzy Petri nets (FPN) is widely used for its advantage of fuzzy knowledge representation and concurrent reasoning. For the reason that back propagation (BP) algorithm can not be applied to learning of FPN directly without add virtual nodes, To overcome the drawback, a metal fuzzy Petri nets (MFPN) model is proposed. FPN mapped from four elementary production rules can be uniformed by MFPN. A continuous function maps from certainty factor of antecedent propositions to that of consequent ones in MFPN is defined, based on which, a forward continues reasoning algorithm is presented, then the gradient function of certainty factor of consequent propositions with respect to input arc weight is given. To improve convergence speed, Levenberg-Marquardt method is adopted to arc weight optimization.
AB - In fuzzy production rule-based system, fuzzy Petri nets (FPN) is widely used for its advantage of fuzzy knowledge representation and concurrent reasoning. For the reason that back propagation (BP) algorithm can not be applied to learning of FPN directly without add virtual nodes, To overcome the drawback, a metal fuzzy Petri nets (MFPN) model is proposed. FPN mapped from four elementary production rules can be uniformed by MFPN. A continuous function maps from certainty factor of antecedent propositions to that of consequent ones in MFPN is defined, based on which, a forward continues reasoning algorithm is presented, then the gradient function of certainty factor of consequent propositions with respect to input arc weight is given. To improve convergence speed, Levenberg-Marquardt method is adopted to arc weight optimization.
KW - Back propagation algorithm
KW - Fuzzy Petri nets
KW - Levenberg-Marquardt algorithm
UR - https://www.scopus.com/pages/publications/51749123188
U2 - 10.1109/CESA.2006.313615
DO - 10.1109/CESA.2006.313615
M3 - 会议稿件
AN - SCOPUS:51749123188
SN - 7302139229
SN - 9787302139225
T3 - IMACS Multiconference on "Computational Engineering in Systems Applications", CESA
SP - 1853
EP - 1857
BT - IMACS Multiconference on "Computational Engineering in Systems Applications", CESA
T2 - IMACS Multiconference on "Computational Engineering in Systems Applications", CESA
Y2 - 4 October 2006 through 6 October 2006
ER -