@article {55822, title = {Logics for approximate entailment in ordered universes of discourse}, journal = {International Journal of Approximate Reasoning}, volume = {71}, year = {2016}, pages = {50-63}, abstract = {The Logic of Approximate Entailment (LAE) is a graded counterpart of classical propositional calculus, where conclusions that are only approximately correct can be drawn. This is achieved by equipping the underlying set of possible worlds with a similarity relation. When using this logic in applications, however, a disadvantage must be accepted; namely, in LAE it is not possible to combine conclusions in a conjunctive way. In order to overcome this drawback, we propose in this paper a modification of LAE where, at the semantic level, the underlying set of worlds is moreover endowed with an order structure. The chosen framework is designed in view of possible applications. }, doi = {http://dx.doi.org/10.1016/j.ijar.2016.02.001}, url = {http://dx.doi.org/10.1016/j.ijar.2016.02.001}, author = {Thomas Vetterlein and Francesc Esteva and Llu{\'\i}s Godo} }