Rough Tolerance Equality and Tolerance Black Boxes

Article type: Research Article

Authors: Nieminen, Juhani

Affiliations: Department of Mathematics, Faculty of Technology, University of Oulu, 90570 Ouiu, Finland

Abstract: The rough equality concept of Z. Pawlak is modified and the rough top and the rough bottom tolerance equalities are given and characterized. The same tolerance idea is applied also to black box notion introduced by Novotný and Pawlak; the concept thus obtained is called tolerance black box. Tolerance black boxes are characterized and their properties are described.

Keywords: Rough sets, tolerance relations, rough equalities, black boxes

DOI: 10.3233/FI-1988-11306

Journal: Fundamenta Informaticae, vol. 11, no. 3, pp. 289-296, 1988