Affiliations: Institute of Mathematics Warsaw University, Banacha 2
02-097 Warszawa, Poland. E-mail: skowron@mimuw.edu.pl | Department of Computer Science Białystok
University of Technology Wiejska 45a, 15-351 Białystok, Poland. E-mail:
jstepan@ii.pb.bialystok.pl | Department of Electrical and Computer Engineering
University of Manitoba Winnipeg Manitoba R3T 5V6, Canada. E-mail:
jfpeters@ee.umanitoba.ca | Department of Mathematical and Computer Sciences San
Diego State University 5500 Campanile Drive, San Diego CA 92182, USA. E-mail:
rswiniar@sciences.sdsu.edu
Abstract: This paper considers the problem of how to establish calculi of
approximation spaces. Approximation spaces considered in the context of rough
sets were introduced by Zdzisław Pawlak more than two decades ago. In
general, a calculus of approximation spaces is a system for combining,
describing, measuring, reasoning about, and performing operations on
approximation spaces. An approach to achieving a calculus of approximation
spaces that provides a basis for approximating reasoning in distributed systems
of cooperating agents is considered in this paper. Examples of basic concepts
are given throughout this paper to illustrate how approximation spaces can be
beneficially used in many settings, in particular for complex concept
approximation. The contribution of this paper is the presentation of a
framework for calculi of approximation spaces useful for approximate reasoning
by cooperating agents.
