# Categorizing Quantities using an Interactive Fuzzy Membership Function

### Liqun Liu, Romain Vuillemot

#### Abstract

In this paper, we investigate how an interactive version of the membership function from the Fuzzy Logic Theory can be used to categorize quantitative data. This function is simple and similar to a line chart, and provides an explicit mapping of the categorization process. We first review the requirements for such quantitative values partitioning process and provide the Fuzzy Logic mathematical foundations related to the membership function. We then report on the implementation of the interactive function for several quantitative datasets case studies (e. g., age, temperature, speed). We expect this interactive function to provide more control over the categorization process, as well as way to make the categorization more explicit.

Download#### Paper Citation

#### in Harvard Style

Liu L. and Vuillemot R. (2021). **Categorizing Quantities using an Interactive Fuzzy Membership Function**.In *Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: IVAPP,* ISBN 978-989-758-488-6, pages 195-202. DOI: 10.5220/0010270801950202

#### in Bibtex Style

@conference{ivapp21,

author={Liqun Liu and Romain Vuillemot},

title={Categorizing Quantities using an Interactive Fuzzy Membership Function},

booktitle={Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: IVAPP,},

year={2021},

pages={195-202},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0010270801950202},

isbn={978-989-758-488-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: IVAPP,

TI - Categorizing Quantities using an Interactive Fuzzy Membership Function

SN - 978-989-758-488-6

AU - Liu L.

AU - Vuillemot R.

PY - 2021

SP - 195

EP - 202

DO - 10.5220/0010270801950202