Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

Modulo similarity in comparing histograms

Authors
Pasi Luukka, Mikael Collan
Corresponding Author
Pasi Luukka
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.57How to use a DOI?
Keywords
Histograms, comparison, ukasiewicz logic, similarity, modulo similarity.
Abstract

Histograms are a tool for graphical representation of frequency data and thus helpful in creating a fast understanding of, e.g., contents of frequency data. Comparing histograms is topic of increasing importance due to an increase in the availability of data sets containing frequency information. Automatic data collection from “everywhere” has made collection of frequency data very common. As many different types of similarities exist, our focus is on ukasiewicz logic-based similarity and we present two new measures, the “modulo similarity” measure and the “maximum pair assignment compatibility” measure. These measures do not use PDF conversion, or vector-based approaches, in the comparison of histograms, but concentrate on the data samples used to form histograms. We illustrate the usefulness of these measures with numerical examples.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.57How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Pasi Luukka
AU  - Mikael Collan
PY  - 2015/06
DA  - 2015/06
TI  - Modulo similarity in comparing histograms
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 393
EP  - 397
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.57
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.57
ID  - Luukka2015/06
ER  -