INTRANSITIVITY AND VAGUENESS

Intransitivity and Vagueness

There are many examples in the literature that suggest that indistinguishability is intransitive, despite the fact that the indistinguishability relation is typically taken to be an equivalence relation (and thus transitive). It is shown that if the uncertainty perception and the question of when an agent reports that two things are indistinguishable are both carefully modeled, the problems dis...

Split Intransitivity and Saweru

Transitivity vs. Intransitivity

We compare two different ways of quantization a simple sequential game Cat’s Dilemma in the context of the debate on intransitive and transitive preferences. This kind of analysis can have essential meaning for the research on the artificial intelligence (some possibilities are discussed). Nature has both properties transitive and intransitive and maybe quantum models can be more able to captur...

Spatial Vagueness and Second-Order Vagueness

This paper presents a geometric characterization of geographic objects with vague boundaries. Since the framework is based on ordering geometry and does not rely on numerical concepts, it can be applied to qualitative spatial reasoning. The characterization describes vague regions and gradual transitions between two vague regions. This approach takes into account that the region of all points t...

Competitive intransitivity promotes species coexistence.

Using a spatially explicit cellular automaton model with local competition, we investigate the potential for varied levels of competitive intransitivity (i.e., nonhierarchical competition) to promote species coexistence. As predicted, on average, increased levels of intransitivity result in more sustained coexistence within simulated communities, although the outcome of competition also becomes...