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 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.
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Hivatkozás
MLA: Alzubi, Maen, and Szilveszter Kovacs. "Interpolative fuzzy reasoning method based on the incircle of a generalized triangular fuzzy number." Journal of Intelligent & Fuzzy Systems 39.1 (2020): 709-729.
APA: Alzubi, M., & Kovacs, S. (2020). Interpolative fuzzy reasoning method based on the incircle of a generalized triangular fuzzy number. Journal of Intelligent & Fuzzy Systems, 39(1), 709-729.
ISO690: ALZUBI, Maen; KOVACS, Szilveszter. Interpolative fuzzy reasoning method based on the incircle of a generalized triangular fuzzy number. Journal of Intelligent & Fuzzy Systems, 2020, 39.1: 709-729.
BibTeX:
@article{alzubi2020interpolative,
title={Interpolative fuzzy reasoning method based on the incircle of a generalized triangular fuzzy number},
author={Alzubi, Maen and Kovacs, Szilveszter},
journal={Journal of Intelligent & Fuzzy Systems},
volume={39},
number={1},
pages={709--729},
year={2020},
publisher={IOS Press}
}