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On Interaction between Groups of Objects – Multiset Approach
Subtitle:Raport Badawczy = Research Report ; RB/63/2013
Creator:Krawczak, Maciej ; Szkatuła, Grażyna
Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:13 stron ; 21 cm ; Bibliografia s. 13
Subject and Keywords:Multisets ; Nominal attributes ; Atrybuty nominalne ; Symbolic data analysis ; Measure of proximity ; Analiza danych symbolicznych ; Miary bliskości ; Groups of objects ; Grupy obiektów ; Multizbiory
Abstract:Properties of objects can be specified by a set of attributes which values can be symbolic. Defining a good measure of proximity (or remoteness) between objects is crucial importance in applied research like data mining or machine learning. The proposed approach is based on the theory of multisets. The article defines a group of objects with nominal description as a K-tuple of multisets (i.e., an ordered collection of multisets). There are introduced the following definitions: perturbation of multisets' for each attribute and a measure of groups' perturbations. The measure of peturbation is assumed to return a value from [0,1], where 1 is interpreted as the most level of perturbation, while 0 is the lowest level of peturbation. In general these two measures are different, asymmetrical, so they should not be considered as the distance between the groups.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
Terms of use:Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -
Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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