Unified full implication algorithms of fuzzy reasoning
Unified full implication algorithms of fuzzy reasoning
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DOI：
10.1016/j.ins.2007.09.003
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发表时间：
2008-01
期刊：
影响因子：
--
通讯作者：
D. Pei
中科院分区：
文献类型：
--
作者：
D. Pei
本文讨论了模糊推理的全蕴涵推理。对于左连续t-范数产生的所有剩余蕴涵，构造了统一的α-三I算法，推广了已有的结果。作为本文主要结果的推论，基于四个重要的剩余含义，可以很容易地推导出一些特殊的算法。这些算法对模糊推理的应用具有一定的参考价值。基于剩余蕴涵的性质，大大简化了许多结论的证明。
This paper discusses the full implication inference of fuzzy reasoning. For all residuated implications induced by left continuous t-norms, unified α-triple I algorithms are constructed to generalize the known results. As the corollaries of the main results of this paper, some special algorithms can be easily derived based on four important residuated implications. These algorithms would be beneficial to applications of fuzzy reasoning. Based on properties of residuated implications, the proofs of the many conclusions are greatly simplified.