From the beginnings of fuzzy logic, the Sheffer stroke operation has been overlooked and the efforts of the researchers have been devoted to other logical connectives. In this paper, the Sheffer stroke operation is introduced in fuzzy logic generalizing the classical operation when the truth values are restricted to ${\{0,1\}}^2$. Similar to what happens in Boolean logic, the fuzzy Sheffer stroke is functionally complete and it can be used to generate any other fuzzy logical connective by combinations of itself. Two construction methods are presented and the close connection of this operation with a pair of fuzzy conjunction and negation is analysed.

中文翻译：

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关于模糊逻辑中的Sheffer笔划运算

从模糊逻辑的开始，就忽略了Sheffer笔划运算，研究人员的工作也投入到其他逻辑连接词上。本文将Sheffer笔划运算引入模糊逻辑中，在将真值限制为${\{0，\mathrm{1个}\}}^{\mathrm{2个}}$。与布尔逻辑类似，模糊Sheffer笔画在功能上是完整的，可以通过自身的组合来生成任何其他模糊逻辑连接词。提出了两种构造方法，并分析了该操作与一对模糊合取和取反的紧密联系。