A fuzzy approach to some set approximation operations

Authors:
Anna Maria Radzikowska
Affiliations:
Faculty of Mathematics and Information Science, Warsaw University of Technology and System Research Institute, Polish Academy of Science, Warsaw, Poland
Venue:
ICANN'05 Proceedings of the 15th international conference on Artificial neural networks: formal models and their applications - Volume Part II
Year:
2005

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Abstract

In many real-life problems we deal with a set of objects together with their properties. Due to incompleteness and/or imprecision of available data, the true knowledge about subsets of objects can be determined approximately. In this paper we present a fuzzy generalisation of two relation-based operations suitable for set approximations. The first approach is based on relationships between objects and their properties, while the second set approximation operations are based on similarities between objects. Some properties of these operations are presented.