Boolean proportions
This provides mathematical unification for boolean proportion models, but is incremental as it applies an existing framework to a specific domain.
The paper studies analogical proportions in the boolean domain (0 and 1) within an existing algebraic framework, showing that this notion coincides with two prominent models from the literature.
The author has recently introduced an abstract algebraic framework of analogical proportions within the general setting of universal algebra. This paper studies analogical proportions in the boolean domain consisting of two elements 0 and 1 within his framework. It turns out that our notion of boolean proportions coincides with two prominent models from the literature in different settings. This means that we can capture two separate modellings of boolean proportions within a single framework which is mathematically appealing and provides further evidence for the robustness and applicability of the general framework.