Rough sets (abstract)

A rapid growth of interest in rough set theory 290] and its applications can be lately seen in the number of international workshops, conferences and seminars that are either directly dedicated to rough sets, include the subject in their programs, or simply accept papers that use this approach to solve problems at hand. A large number of high quality papers on various aspects of rough sets and their applications have been published in recent years as a result of this attention. The theory has been followed by the development of several software systems that implement rough set operations. In Section 12 we present a list of software systems based on rough sets. Some of the toolkits, provide advanced graphical environments that support the process of developing and validating rough set classiiers. Rough sets are applied in many domains, Several applications have revealed the need to extend the traditional rough set approach. A special place among various extensions is taken by the approach that replaces indiscernibility relation based on equivalence with a tolerance relation. In view of many generalizations, variants and extensions of rough sets a uniform presentation of the theory and methodology is in place. This tutorial paper is intended to fulllll these needs. It introduces basic notions and illustrates them with simple examples. It discusses methodologies for analysing data and surveys applications. It also presents and introduction to logical, algebraic and topological aspects, major extensions to standard rough sets, and it nally glances at future research.

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