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Zbl 0576.93021
Takagi, Tomohiro; Sugeno, Michio
Fuzzy identification of systems and its applications to modeling and control. (English)
[J] IEEE Trans. Syst. Man Cybern. 15, No. 1, 116-132 (1985). ISSN 0018-9472

The 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.
[R.Vachnadze]

MSC 2000:: *93B30 System identification
93B15 Realizability of systems from input-output data
94D05 Fuzzy sets and logic in connection with communication
68U20 Simulation

Keywords: fuzzy model; multidimensional fuzzy reasoning; input-output relation; identification

Citations: Zbl 0513.94035

Cited in: Zbl 1155.93381 Zbl 1127.65040 Zbl 1070.65051 Zbl 1050.93048 Zbl 1022.65073 Zbl 0992.93047

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