Continuity of triple I methods based on several implications
Continuity of triple I methods based on several implications
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DOI：
10.1016/j.camwa.2008.03.037
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发表时间：
2008-10-01
影响因子：
2.9
通讯作者：
Wang, Guo-Jun
中科院分区：
文献类型：
--
作者：
Liu, Hua-Wen;Wang, Guo-Jun
本文重点研究模糊推理的完全蕴涵三 I 方法的连续性问题。基于连续三角范数产生的残差蕴涵，具有标准否定的幂极小值和Zadeh蕴涵产生的残差蕴涵。分别在汉明和均匀度量中检查了 Triple I 方法的连续性和均匀连续性特性。我们还研究了对应于 Triple I 方法的模糊 if-then 规则模型的连续性。 (c) 2008 Elsevier Ltd. 保留所有权利。
This paper focuses on the Continuity problem of fully implicational triple I methods for fuzzy reasoning. Based on the residual implications generated by continuous triangular norms, the residual implication generated by nilpotent minimum with the standard negation and the Zadeh implication. respectively, continuity and uniform continuity properties of triple I methods are examined in Hamming and uniform metrics. We also investigate the Continuity of the model of a fuzzy if-then rule corresponding to the triple I methods. (c) 2008 Elsevier Ltd. All rights reserved.