Approximation Algebra and Framework

Issue title: Fundamentals of Knowledge Technology

Article type: Research Article

Authors: Ciucci, Davide

Affiliations: Dipartimento di Informatica Sistemistica e Comunicazione Università di Milano Bicocca Viale Sarca 336/14, 20126 Milano (Italia). E-mail: ciucci@disco.unimib.it

Abstract: Generalized approximation algebras and approximation algebras are defined as a theoretical counterpart of all the situations where a "lower" and an "upper" mapping are used. Some models of these structures are discusse, among them rough sets, fuzzy rough sets and possibility theory. Generalized approximation framework and approximation framework are also introduced as an abstraction of all those cases where several approximations are possibile on the same element. Also in this case some examples are given.

DOI: 10.3233/FI-2009-123

Journal: Fundamenta Informaticae, vol. 94, no. 2, pp. 147-161, 2009