TY - GEN
T1 - A new approach to an exact inversion of TSK fuzzy systems
AU - Ulu, Cenk
AU - Guzelkaya, Mujde
AU - Eksin, Ibrahim
PY - 2013
Y1 - 2013
N2 - In this study, a new approach to an exact analytical inversion of Takagi-Sugeno-Kang (TSK) fuzzy systems with singleton consequents is presented. Here, the inversion variable is represented by piecewise linear membership functions (PWL-MFs). In this case, the universe of discourse of the inversion variable is divided into specific regions in which only one linear piece exists for each PWL-MF at most. In the proposed approach, linear equations of PWL-MFs which determine membership degrees are directly used in the analytical formulation of TSK fuzzy system. This provides us to express the fuzzy system output in a unique linear form in terms of the inversion variable for any region where only the parameters of the appropriate linear equations of PWL-MFs are embedded. Thus, finding the inverse solutions for any region is transformed to solve the linear equations which is relatively easy. The proposed method has been tested on an illustrative example.
AB - In this study, a new approach to an exact analytical inversion of Takagi-Sugeno-Kang (TSK) fuzzy systems with singleton consequents is presented. Here, the inversion variable is represented by piecewise linear membership functions (PWL-MFs). In this case, the universe of discourse of the inversion variable is divided into specific regions in which only one linear piece exists for each PWL-MF at most. In the proposed approach, linear equations of PWL-MFs which determine membership degrees are directly used in the analytical formulation of TSK fuzzy system. This provides us to express the fuzzy system output in a unique linear form in terms of the inversion variable for any region where only the parameters of the appropriate linear equations of PWL-MFs are embedded. Thus, finding the inverse solutions for any region is transformed to solve the linear equations which is relatively easy. The proposed method has been tested on an illustrative example.
KW - Piecewise linear membership functions
KW - TSK fuzzy systems
KW - fuzzy model inversion
KW - singleton consequents
UR - http://www.scopus.com/inward/record.url?scp=84882285786&partnerID=8YFLogxK
U2 - 10.1109/TAEECE.2013.6557282
DO - 10.1109/TAEECE.2013.6557282
M3 - Conference contribution
AN - SCOPUS:84882285786
SN - 9781467356121
T3 - 2013 The International Conference on Technological Advances in Electrical, Electronics and Computer Engineering, TAEECE 2013
SP - 262
EP - 265
BT - 2013 The International Conference on Technological Advances in Electrical, Electronics and Computer Engineering, TAEECE 2013
T2 - 2013 International Conference on Technological Advances in Electrical, Electronics and Computer Engineering, TAEECE 2013
Y2 - 9 May 2013 through 11 May 2013
ER -