LEADER 03233nam 22005895 450 001 9910842293703321 005 20250808085221.0 010 $a3-031-53096-9 024 7 $a10.1007/978-3-031-53096-8 035 $a(CKB)30597529800041 035 $a(MiAaPQ)EBC31200977 035 $a(Au-PeEL)EBL31200977 035 $a(DE-He213)978-3-031-53096-8 035 $a(EXLCZ)9930597529800041 100 $a20240227d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBidirectional Comparison of Nominal Sets $eAsymmetry of Proximity /$fby Gra?yna Szkatu?a, Maciej Krawczak 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (218 pages) 225 1 $aStudies in Computational Intelligence,$x1860-9503 ;$v1140 311 08$a3-031-53095-0 320 $aIncludes bibliographical references and index. 327 $aIntroduction and main assumptions -- Issues of asymmetry of data proximity -- Matching between ordinary sets -- Matching between sets with binary coding -- Matching between multisets -- Matching between fuzzy sets -- Matching between intuitionistic fuzzy sets -- Summary and perspectives. 330 $aThe authors propose a novel measure of proximity between two sets of nominal elements. This measure describes the changes in the first set after adding the second set or changes in the second set after adding the first set. It is crucial to note that this measure is not symmetric, it means that the perturbation of the first set on the second set can be different than the perturbation of the opposition direction. The introduced set impact measure allows for the direct treatment of objects described by nominal-valued attributes. The ordinary sets, multisets, fuzzy sets, and the intuitionistic fuzzy sets are considered. The book is intended for data science professionals, philosophers as well as cognitive psychologists, who struggle with practical problems in which asymmetry of proximity of objects cannot be neglected. The use of the proposed measures of perturbation between compared objects can be very important in data mining or in exploration of Internet resources. 410 0$aStudies in Computational Intelligence,$x1860-9503 ;$v1140 606 $aEngineering$xData processing 606 $aComputational intelligence 606 $aEngineering mathematics 606 $aData Engineering 606 $aComputational Intelligence 606 $aMathematical and Computational Engineering Applications 615 0$aEngineering$xData processing. 615 0$aComputational intelligence. 615 0$aEngineering mathematics. 615 14$aData Engineering. 615 24$aComputational Intelligence. 615 24$aMathematical and Computational Engineering Applications. 676 $a514.323 700 $aSzkatula$b Grazyna$01768743 702 $aKrawczak$b Maciej 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910842293703321 996 $aBidirectional Comparison of Nominal Sets$94231967 997 $aUNINA