03470nam a22005535i 4500 978-3-031-53096-8 DE-He213 20251030111448.0 cr nn 008mamaa 240227s2024 sz | s |||| 0|eng d 9783031530968 978-3-031-53096-8 10.1007/978-3-031-53096-8 doi TA345-345.5 UN bicssc COM018000 bisacsh UN thema Szkatuła, Grażyna. author. aut http://id.loc.gov/vocabulary/relators/aut 71885 Bidirectional Comparison of Nominal Sets [electronic resource] : Asymmetry of Proximity / by Grażyna Szkatuła, Maciej Krawczak. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XVII, 206 p. 51 illus., 18 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Studies in Computational Intelligence, 1860-9503 ; 1140 Introduction 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. The 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. Engineering Data processing. Computational intelligence. 64052 Engineering mathematics. 64145 Data Engineering. 66059 Computational Intelligence. 64052 Mathematical and Computational Engineering Applications. Krawczak, Maciej. author. aut http://id.loc.gov/vocabulary/relators/aut 71886 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031530951 Printed edition: 9783031530975 Printed edition: 9783031530982 Studies in Computational Intelligence, 1860-9503 ; 1140 68854 https://doi.org/10.1007/978-3-031-53096-8 ZDB-2-INR ZDB-2-SXIT 57927 57927