Generalised Label Semantics as a Model of Epistemic Vagueness

A generalised version of the label semantics framework is proposed as an epistemic model of the uncertainty associated with vague description labels. In this framework communicating agents make explicit decisions both about which labels are appropriate to describe an element x is an element of Omega (the underlying universe), and also about which negated labels are appropriate to describe x. It is shown that such a framework can capture a number of different calculi for reasoning with vague concepts as special cases. In particular, different uncertainty assumptions are shown to result in the truth-functional max-min calculus and the standard label semantics calculus.