The quintuple implication principle of fuzzy reasoning based on interval-valued S-implication
The quintuple implication principle of fuzzy reasoning based on interval-valued S-implication
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DOI：
10.1016/j.jlamp.2018.07.001
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发表时间：
2018-11
期刊：
影响因子：
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通讯作者：
Dechao Li;Sijia Qin
中科院分区：
文献类型：
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作者：
Dechao Li;Sijia Qin
区间值模糊推理是模糊和不确定环境下近似推理和决策中的一个重要问题。为了提高区间值模糊推理的质量，针对区间值模糊推理和区间值模糊推理的问题，提出了基于区间值S蕴涵的模糊推理的五重蕴涵原理。首先给出了区间值S蕴涵问题的模糊推理方法和区间值S蕴涵问题的QIP解，然后讨论了区间值S蕴涵问题的模糊推理的可约性和连续性。最后，我们还提供了几个例子来说明和证实我们的理论发展。
Interval-valued fuzzy reasoning is an important issue in approximate reasoning and decision making under fuzzy and uncertainty. To improve the quality of interval-valued fuzzy reasoning, this paper proposes the quintuple implication principle (QIP) of fuzzy reasoning based on interval-valued S-implication in order to solve interval-valued fuzzy modus ponens (IFMP) and interval-valued fuzzy modus tollens (IFMT). We first present the QIP solutions of IFMP and IFMT for interval-valued S-implications, then discuss the reductivity and continuity of fuzzy reasoning with QIP method for interval-valued S-implications. Finally, we also provide several examples to illustrate and substantiate our theoretical developments.