Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4945261 | International Journal of Approximate Reasoning | 2017 | 13 Pages |
Abstract
Various semantics for studying the square of opposition and the hexagon of opposition have been proposed recently. We interpret sentences by imprecise (set-valued) probability assessments on a finite sequence of conditional events. We introduce the acceptability of a sentence within coherence-based probability theory. We analyze the relations of the square and of the hexagon in terms of acceptability. Then, we show how to construct probabilistic versions of the square and of the hexagon of opposition by forming suitable tripartitions of the set of all coherent assessments on a finite sequence of conditional events. Finally, as an application, we present new versions of the square and of the hexagon involving generalized quantifiers.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Niki Pfeifer, Giuseppe Sanfilippo,