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Applied Mathematics A Journal of Chinese Universities  2019, Vol. 34 Issue (2): 218-    DOI:
    
The robustness of two fuzzy reasoning methods
WANG Yuan-yuan, PEI Dao-wu
School of Sciences, Zhejiang Sci-Tech University, Zhejiang Hangzhou 310018, China
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Abstract  Based on logical similarity and residual implications, the paper discusses the robust-
ness of two important reasoning methods, the ˉve implication inference method (QIP) and the similarity
inference method (FSI). The concrete results of the robustness of QIP method under four common im-
plications are given, based on the revised Kleene implication the FSI's robustness conclusion, and a
preliminary comparison of the robustness of these two inference methods.


Key wordsfuzzy reasoning      robustness      full implication method      similarity     
Published: 05 July 2019
CLC:  O151.1  
Cite this article:

WANG Yuan-yuan, PEI Dao-wu. The robustness of two fuzzy reasoning methods. Applied Mathematics A Journal of Chinese Universities, 2019, 34(2): 218-.

URL:

http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2019/V34/I2/218


两种推理方法QIP和FSI的鲁棒性结果及其比较

基于逻辑相似度和剩余蕴涵, 研究了五蕴涵推理方法(QIP)和相似度推理方
法(FSI)的鲁棒性, 给出了在四个常用蕴涵下QIP的鲁棒性的具体结果, 以及基于修正
的Kleene蕴涵的FSI的鲁棒性结论, 并且对这两种推理方法的鲁棒性进行了初步的比较.

关键词: 模糊推理,  鲁棒性,  全蕴涵方法,  相似度,  蕴涵 
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