Abstract
Recent advances in computer science and information systems design have shifted the requirement into the domain of the intelligent information systems. In the last decades, many new data analysis tools and methodologies have been devised in order to keep abreast with the massive increase in data amount and types. Rough Extended Framework has been recently introduced in the domain of employing rough sets based data analysis in the unified framework of fuzzy and statistical analysis. Much effort in the area of REF Framework is focused on the data structure exploration by the means of examining of metric dependencies between analyzed data and the reference set, most often composed of certain number of clusters or thresholds that are selected objects of the input data space. In the paper, in the Rough Extended (Entropy) Framework, a new generalization of the concept of RECA sets has been presented by means of fuzzification of the RECA sets. The introduced solution seems to present highly robust and detailed theoretical and mathematical tool during examining internal data structure.
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References
Małyszko, D., Stepaniuk, J.: Adaptive multilevel rough entropy evolutionary thresholding. Information Sciences 180(7), 1138–1158 (2010)
Małyszko, D., Stepaniuk, J.: Adaptive rough entropy clustering algorithms in image segmentation. Fundamenta Informaticae 98(2-3), 199–231 (2010)
Martin, D., Fowlkes, C., Tal, D., Malik, J.: A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. In: Proceedings of the 8th International Conference on Computer Vision, vol. 2, pp. 416–423. IEEE Computer Society Press, Los Alamitos (2001)
Pal, S., Shankar, B., Mitra, P.: Granular computing, rough entropy and object extraction. Pattern Recognition Letters 26(16), 2509–2517 (2005)
Pawlak, Z., Skowron, A.: Rudiments of rough sets. Information Sciences 177(1), 3–27 (2007)
Stepaniuk, J.: Rough–Granular Computing in Knowledge Discovery and Data Mining. Springer, Heidelberg (2008)
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Małyszko, D., Stepaniuk, J. (2011). Fuzzification Operator for Rough Sets in Image Segmentation. In: Czachórski, T., Kozielski, S., Stańczyk, U. (eds) Man-Machine Interactions 2. Advances in Intelligent and Soft Computing, vol 103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23169-8_31
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DOI: https://doi.org/10.1007/978-3-642-23169-8_31
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23168-1
Online ISBN: 978-3-642-23169-8
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