A New Fuzzy Ratio and Its Application to the Single Input Rule Modules Connected Fuzzy Inference System
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 a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2014
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| Subjects: | |
| Online Access: | http://ir.unimas.my/id/eprint/5180/ http://ir.unimas.my/id/eprint/5180/1/Chian%20Haur%20Jong.pdf |
| Summary: | 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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