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![]() Title:Frank’s Triangular Norms in Piaget’s Logical Proportions Conference:SUM 2024 Tags:analogical proportion, analogical proportion between numerical values, boolean analogical proportion, frank s triangular norms, piaget s logical proportions, triangular co-norm and triangular norm Abstract: Starting from the Boolean notion of logical proportion in Piaget’s sense, which turns out to be equivalent to analogical proportion, this note pro- poses a definition of analogical proportion between numerical values based on triangular norms (and dual co-norms). Frank’s family of triangular norms is par- ticularly interesting from this perspective. The article concludes with a compara- tive discussion with another very recent proposal for defining analogical propor- tions between numerical values based on the family of generalized means. Frank’s Triangular Norms in Piaget’s Logical Proportions ![]() Frank’s Triangular Norms in Piaget’s Logical Proportions | ||||
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