Bidirectional Comparison of Nominal Sets - 9783031530982

Bidirectional Comparison of Nominal SetsAsymmetry of Proximity\nAuthor(s): Gra?yna Szkatu?a, Maciej Krawczak\nFormat: Paperback\nPublisher: Springer International Publishing AG, Switzerland\nImprint: Springer International Publishing AG\nISBN-13: 9783031530982, 978-3031530982\nSynopsis\nThe 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.\n\nIt 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. \n\nThe 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. \n\nThe book is intended for data science professionals, philosophers as well .