A survey on different triangular norm-based fuzzy logic's

摘要

Among various approaches to fuzzy logics, we have chosen two of them, which are built up in a similar way. Although starting from different basic logical connectives, they both use interpretations based on Frank t-norms. Different interpretations of the implication lead to different axiomatizations, but most logics studied here are complete. We compared the properties, advantages and disadvantages of the two approaches.