Interpolative fuzzy reasoning method based on the incircle of a generalized triangular fuzzy number
Fuzzy Rule Interpolation (FRI) is an important technique for implementing inference with sparse fuzzy rule-bases. Even if a given observation has no overlap with the antecedent of any rule from the rule-base, FRI may still conclude a conclusion. This paper introduces a new method called “Incircle FR...
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| Veröffentlicht in: | Journal of intelligent & fuzzy systems 2020-01, Vol.39 (1), p.709-729 |
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| container_title | Journal of intelligent & fuzzy systems |
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| creator | Alzubi, Maen Kovacs, Szilveszter |
| description | Fuzzy Rule Interpolation (FRI) is an important technique for implementing inference with sparse fuzzy rule-bases. Even if a given observation has no overlap with the antecedent of any rule from the rule-base, FRI may still conclude a conclusion. This paper introduces a new method called “Incircle FRI” for fuzzy interpolation which is based on the incircle of a triangular fuzzy number. The suggested method is defined for triangular CNF fuzzy sets, for a single antecedent universe and two surrounding rules from the rule-base. The paper also extends the suggested “Incircle FRI” to trapezoidal, and hexagonal shaped fuzzy sets by decomposing their shapes to multiple triangulars. The generated conclusion is also a CNF fuzzy set. The performance of the suggested method is evaluated based on numerical examples and a comprehensive comparison to other current FRI methods. |
| doi_str_mv | 10.3233/JIFS-191660 |
| format | Article |
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| ispartof | Journal of intelligent & fuzzy systems, 2020-01, Vol.39 (1), p.709-729 |
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| language | eng |
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| subjects | Fuzzy logic Fuzzy sets Fuzzy systems Interpolation |
| title | Interpolative fuzzy reasoning method based on the incircle of a generalized triangular fuzzy number |
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