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Abstract

In this paper, a multiple-input single-output (MISO) fuzzy rules system is decomposed into its equivalent collection of single-input single-output (SISO) fuzzy rules systems. First, the constructive and destructive linguistic models are reviewed. Under certain conditions, the final consequence of the constructive linguistic model working on a MISO fuzzy rules system is equivalent to the final consequence of the constructive linguistic model working on a collection of SISO fuzzy rules systems. Meanwhile, under another conditions, the final consequence of the destructive linguistic model working on a MISO fuzzy rules system is equivalent to the final consequence of the destructive linguistic model working on a collection of the SISO fuzzy rules systems. The decomposition of the MISO fuzzy rules system with fuzzy singleton consequent parts is also investigated. This paper shows the MISO fuzzy rules system requires many more rules than the SISO fuzzy rules system. Through the decomposing process, we can realize the inference result with fewer rules.

Keywords

Fuzzy modeling fuzzy rules system decomposing multiple-input single-output (MISO)single-input single-output (SISO)

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