Fuzzy identification of systems and its applications to modeling and control.

*(English)*Zbl 0576.93021The paper presents a mathematical tool to build a fuzzy model of a system. Using multidimensional fuzzy reasoning suggested by the same authors [Fuzzy Sets Syst. 9, 313–325 (1983; Zbl 0513.94035)], they surprisingly reduce the number of implications, so that fuzzy implication is improved and reasoning is simplified. The presented fuzzy implication is quite simple. It is based on a fuzzy partition of the input space. In each fuzzy subspace a linear input-output relation is formed. The output is given by the aggregation of the values inferred by some implications that were applied to an input. The method of identification of a system using its input-output data is also shown. Practical applications of the proposed method to real industrial processes are presented. The results are fair and suggest applicability of the proposed method.

Reviewer: R.Vachnadze

##### MSC:

93B30 | System identification |

93B15 | Realizations from input-output data |

94D05 | Fuzzy sets and logic (in connection with information, communication, or circuits theory) |

68U20 | Simulation (MSC2010) |