This address deals with the concept of /spl mu/-T-conditional in indicative mode, which is inscribed in what perhaps can be called theoretical fuzzy logic, summarizes a part of the previous work the author did alone or with some colleagues and concerns something controversial from the very beginning in the history of logic, namely the concept of conditional relation. Firstly, the concepts of implication and conditional in Boolean classical logic are briefly reconsidered. Secondly, the evolution from implication functions to T-conditional generating functions is reviewed, /spl mu/-T-conditionals are characterized and particularized to the crisp case and both logical T-states and the obtention of fuzzy consequences from fuzzy premises are considered. Thirdly, after a definition, we particularize to the crisp case and when possible characterize two types of monotonic fuzzy relations, it is shown that the obtained results allow us to write as many non-monotonic fuzzy or crisp conditional relations as we like.
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机译：此地址处理指示性模式中的/ spl mu / -T-conditional概念，该概念题为“理论模糊逻辑”，总结了作者先前独自或与某些同事一起完成的部分工作，并涉及到某些问题。从逻辑史的最开始就有争议，即条件关系的概念。首先，简要地重新考虑了布尔经典逻辑中的蕴涵和条件的概念。其次，回顾了从蕴涵函数到T条件生成函数的演化过程，对/ spl mu / -T-conditionals进行了特征化和特定化，以解决特殊情况，同时考虑了逻辑T状态和从模糊前提得出模糊后果的可能性。第三，在定义之后，我们具体化为脆性情况，并在可能的情况下表征两种类型的单调模糊关系，这表明所获得的结果使我们能够编写任意数量的非单调模糊或脆性条件关系。
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