ROUGH SETS, ROUGH RELATIONS AND ROUGH FUNCTIONS

Article type: Research Article

Authors: Pawlak, Zdzislaw

Affiliations: Institute of Computer Science, Warsaw University of Technology, ul. Nowowiejska 15/19, 00 665 Warsaw, Poland and Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, ul. Baltycka 5, 44 000 Gliwice, Poland

Abstract: The paper explores the concepts of approximate relations and functions in the framework of the theory of rough sets. The difficulties with the application of the idea of rough relation to general rough function definition are discussed. The definition of rough function for the domain of real numbers is introduced and its properties are investigated in detail including the generalization of the standard notion of function continuity known in the theory of real functions.

DOI: 10.3233/FI-1996-272301

Journal: Fundamenta Informaticae, vol. 27, no. 2-3, pp. 103-108, 1996