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Fuzzy interpolative reasoning for sparse fuzzy rule-based systems based on the slopes of fuzzy sets |
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| Authors: | Shyi-Ming Chen Wen-Chyuan Hsin Szu-Wei Yang Yu-Chuan Chang |
| Affiliation: | 1. Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan, ROC;2. Department of Education, National Taichung University of Education, Taichung, Taiwan, ROC;1. Office of Scientific Research and Industrial Service, Guangdong AIB Polytechnic College, Guangzhou, China;2. Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan;1. Department of Mathematics, Amity University Haryana, Gurugram, India;2. Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan |
| Abstract: | In this paper, we present a new fuzzy interpolative reasoning method for sparse fuzzy rule-based systems based on the slopes of fuzzy sets. The proposed method can deal with fuzzy rules interpolation involving complex polygonal fuzzy sets with the advantages of simplest calculation and get more reasonable fuzzy interpolative reasoning results. We also make some experiments to compare the fuzzy interpolative reasoning results of the proposed method with the ones of the existing methods. The experimental results show that the proposed method outperforms the existing fuzzy interpolative reasoning methods for sparse fuzzy rule-based systems. |
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