Affiliations: [a] College of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China
| [b] College of Fundamental Education, Sichuan Normal University, Chengdu, Sichuan, China
Correspondence:
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Corresponding author. Jilin Yang, College of Fundamental Education, Sichuan Normal University, Chengdu, Sichuan 610068, China. E-mail: yjl524@163.com.
Note: [1] This work has been partially supported by the National Natural Science Foundation of China (Grant Nos. 61473239, 61372187, 61673320), the Scientific Research Project of Sichuan Provincial Education Department of China (17ZB0356), and the open research fund of key laboratory of intelligent network information processing, Xihua University (szjj2014-052).
Abstract: As the theoretical foundation of fuzzy control, fuzzy reasoning has been extensively studied. This paper is devoted to the discussion of the similarity property of similarity-based fuzzy reasoning method, triple I fuzzy reasoning method and fuzzy similarity inference method. The similarity degrees between the inferred conclusions of these fuzzy reasoning methods and the consequent part of fuzzy inference rules are analyzed and evaluated. Based on these similarity degrees, the monotonicity, the reversibility and the approximation property of these fuzzy reasoning methods are examined.
