Rough Sets, Rough Relations And Rough Functions

Authors:
Zdzislaw Pawlak
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. B ...
Venue:
Fundamenta Informaticae
Year:
1996

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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.