Assessment of linguistic dynamic cause-and-effect rules with delays

A data-driven procedure is used to find linguistic rules that describe a dynamic process. In order to select valid rules, the concept of trip is proposed to reveal a rule status in a Truth Space Diagram (TSD). Based upon the trip, a normalized metric is proposed to assess a rule, which then makes the comparison possible among rules with the same antecedent but conflicting consequents. In addition, a novel rule structure is proposed to include linguistic delays. The procedure is evaluated.

[1]  Xiangdong He,et al.  A New Method for Identifying Orders of Input-Output Models for Nonlinear Dynamic Systems , 1993, 1993 American Control Conference.

[2]  Cailian Chen,et al.  Delay-Dependent Stability Analysis and Controller Synthesis for Discrete-Time T–S Fuzzy Systems With Time Delays , 2005, IEEE Transactions on Fuzzy Systems.

[3]  Huai-Ning Wu,et al.  Delay-dependent stability analysis and stabilization for discrete-time fuzzy systems with state delay: a fuzzy Lyapunov-krasovskii functional approach , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[4]  Gaurav Arora On the use of a truth-space diagram for assessing linguistic rules , 2007 .

[5]  O. Nelles Nonlinear System Identification: From Classical Approaches to Neural Networks and Fuzzy Models , 2000 .

[6]  Yaochu Jin,et al.  Fuzzy modeling of high-dimensional systems: complexity reduction and interpretability improvement , 2000, IEEE Trans. Fuzzy Syst..

[7]  F. Gomide,et al.  Ten years of genetic fuzzy systems: current framework and new trends , 2001, Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569).

[8]  Yijing Wang,et al.  Robust Stability Criteria of Uncertain Fuzzy Systems with Time-varying Delays , 2005, 2005 IEEE International Conference on Systems, Man and Cybernetics.

[9]  Francisco Herrera,et al.  Ten years of genetic fuzzy systems: current framework and new trends , 2004, Fuzzy Sets Syst..

[10]  Bhabesh Nath,et al.  Multi-objective rule mining using genetic algorithms , 2004, Inf. Sci..

[11]  Young Hoon Joo,et al.  Design of fuzzy-model-based controller for time-varying input-delayed TS fuzzy systems , 2001, ISIE 2001. 2001 IEEE International Symposium on Industrial Electronics Proceedings (Cat. No.01TH8570).

[12]  R.R. Rhinehart,et al.  Autonomous creation of process cause and effect relationships: metrics for evaluation of the goodness of linguistic rules , 2004, Proceedings of the 2004 American Control Conference.

[13]  Plamen P. Angelov An evolutionary approach to fuzzy rule-based model synthesis using indices for rules , 2003, Fuzzy Sets Syst..

[14]  Qing Zhu,et al.  Fuzzy and Evidence Reasoning , 1995 .

[15]  M. Morari,et al.  Determining the model order of nonlinear input/output systems directly from data , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[16]  Bart Kosko,et al.  Fuzzy Engineering , 1996 .

[17]  Sofiane Achiche,et al.  Fuzzy decision support system knowledge base generation using a genetic algorithm , 2001, Int. J. Approx. Reason..