Abstract
The paper is about remoteness of objects described by the nominal-valued attributes. Nominal values of the attributes are replaced by respective binary vectors. A new measure of remoteness between sets, based on binary attributes’ values, is introduced. The new measure is called \(a\ measure\ of\) perturbation \(of\ one\ binary\ vector\ by\ another\) binary vector and can be treated as a binary version of developed by the authors sets’ perturbation measure. Values of the newly developed measure range between 0 and 1, and the perturbation measure of one binary vector by another is not the same as the perturbation of the second binary vector by the first one - it means that the measure is not symmetric in general.
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Krawczak, M., Szkatuła, G. (2015). On Perturbation Measure for Binary Vectors. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2015. Lecture Notes in Computer Science(), vol 9120. Springer, Cham. https://doi.org/10.1007/978-3-319-19369-4_58
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DOI: https://doi.org/10.1007/978-3-319-19369-4_58
Publisher Name: Springer, Cham
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