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.
The work was carried out in the framework of COST Action 274/TARSKI on Theory and Applications of Relational Structures as Knowledge Instruments ( www.tarski.org ).
An erratum to this chapter can be found at http://dx.doi.org/10.1007/11550907_163 .
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Radzikowska, A.M. (2005). A Fuzzy Approach to Some Set Approximation Operations. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds) Artificial Neural Networks: Formal Models and Their Applications – ICANN 2005. ICANN 2005. Lecture Notes in Computer Science, vol 3697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11550907_107
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DOI: https://doi.org/10.1007/11550907_107
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