On vague notions and modalities: a modular approach
Paulo A. S. Veloso, Sheila R. M. Veloso, Petrúcio Viana, Rosiane de Freitas, Mario Folhadela Benevides, Carla Amor Divino Moreira Delgado · Logic Journal of IGPL · 2009
Vague notions, such as ‘generally’, ‘rarely’, ‘often’, ‘almost always’, ‘a meaningful subset of a whole’, ‘most’, etc., occur often in ordinary language and in some branches of science. We introduce modal logical systems, with generalized operators, for the precise treatment of assertions involving some versions of such vague notions. We examine modal logics, constructed in a modular fashion, with generalized operators corresponding to some versions of ‘generally’ and ‘rarely’.