A new fuzzy ratio and its application to the single input rule modules connected fuzzy inference system
FUZZ-IEEE(2014)
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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Key words
fuzzy reasoning,single input rule modules connected fuzzy inference system,part-to-whole ratio formulations,part-to-part ratio formulations,fuzzy ratio,sirms-fis,fuzzy weights,fuzzy arithmetic,part-to-whole fuzzy ratio,fuzzy systems,fuzzy logic,proteins,fuzzy sets,concrete
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