Orthopairs: A Simple and Widely UsedWay to Model Uncertainty

Issue title: Advances in Rough Set Theory

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. [email protected]

Note: [] Address for correspondence: Dipartimento di Informatica Sistemistica e Comunicazione, Università di Milano Bicocca, Viale Sarca 336/14, 20126 Milano, Italia

Abstract: The term orthopair is introduced to group under a unique definition different ways used to denote the same concept. Some orthopair models dealing with uncertainty are analyzed both from a mathematical and semantical point of view, outlining similarities and differences among them. Finally, lattice operations on orthopairs are studied and a survey on algebraic structures is provided.

DOI: 10.3233/FI-2011-424

Journal: Fundamenta Informaticae, vol. 108, no. 3-4, pp. 287-304, 2011