Fuzzy rule interpolation based on principle membership functions and uncertainty grade functions of interval type-2 fuzzy sets |
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| Authors: | Shyi-Ming Chen Yu-Chuan Chang |
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| Affiliation: | 1. College of Arts and Sciences Shanxi Agricultural University, Taigu, Shanxi 030801, PR China;2. School of Mathematical Sciences Shanxi University, Taiyuan, Shanxi 030006, PR China;1. School of Computer Information management, Inner Mongolia University of Finance and Economics, Hohhot 010051, China;2. School of Automation, Northwestern Polytechnical University, Xi''an 710072, China;3. Shandong Provincial Key Laboratory of Computer Networks, Shandong Computer Science Center (National Supercomputer Center in Jinan), Jinan 250014, China |
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| Abstract: | Fuzzy rule interpolation is an important research topic in sparse fuzzy rule-based systems. In this paper, we present a new method for dealing with fuzzy rule interpolation in sparse fuzzy rule-based systems based on the principle membership functions and uncertainty grade functions of interval type-2 fuzzy sets. The proposed method deals with fuzzy rule interpolation based on the principle membership functions and the uncertainty grade functions of interval type-2 fuzzy sets. It can deal with fuzzy rule interpolation with polygonal interval type-2 fuzzy sets and can handle fuzzy rule interpolation with multiple antecedent variables. We also use some examples to compare the fuzzy interpolative reasoning results of the proposed method with the ones of an existing method. The experimental result shows that the proposed method gets more reasonable results than the existing method for fuzzy rule interpolation based on interval type-2 fuzzy sets. |
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