Title:

On Asymmetric Matching between Sets

Subtitle:

Raport Badawczy = Research Report ; RB/62/2013

Creator:

Krawczak, Maciej ; Szkatuła, Grażyna

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2013

Description:

13 pages ; 21 cm ; Bibliography p. 13

Subject and Keywords:

Sets of nominal values ; Tversky index ; Symbolic data analysis ; Measure of proximity ; Zbiory wartości nominalnych ; Indeks tverskego ; Analiza danych symbolicznych ; Miary bliskości

Abstract:

This paper proposes the measure of remoteness between sets of nominal values based on Tversky's similarity measures. lnstead of considering distance between two sets, a definition of measure of perturbation of one set by another set was introduced, the consideration is based on set-theoretic operations. The measure describes changes of the first set after adding the second set. The measure of sets' perturbation returns a value from [0, 1], where 1 is interpreted as highest level of peturbation, while 0 denotes the lowest level of perturbation. lt is interesting that this measure is not symmetric.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2013-62

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open