A New Fuzzy Ratio and Its Application to the Single Input Rule Modules Connected Fuzzy Inference System

Chian, Haur Jong and Kai, Meng Tay and Chee, Peng Lim (2014) A New Fuzzy Ratio and Its Application to the Single Input Rule Modules Connected Fuzzy Inference System. 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).

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Abstract

The principle of ratios has been applied to many real world problems, e.g. the part-to-part and part-to-whole ratio formulations. As it is difficult for humans to provide an exact ratio in many real situations, we introduce a fuzzy ratio in this paper. We use some notions from fuzzy arithmetic to analyze fuzzy ratios captured from humans. An application of the formulated fuzzy ratio to a Single Input Rule Modules connected Fuzzy Inference System (SIRMs-FIS) is demonstrated. Instead of using a precise weight, fuzzy sets are employed to represent the relative importance of each rule module. The resulting fuzzy weights are explained as a fuzzy ratio on a weight domain. In addition, a new SIRMs-FIS model with fuzzy weights and part-to-whole fuzzy ratio is devised. A simulated example is presented to clarify the proposed SIRM-FIS model.

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