Javier Navarro
Measuring Inter-group Agreement on zSlice Based General Type-2 Fuzzy Sets
Navarro, Javier; Wagner, Christian
Abstract
Recently, there has been much research into modelling of uncertainty in human perception through Fuzzy Sets (FSs). Most of this research has focused on allowing respondents to express their (intra) uncertainty using intervals. Here, depending on the technique used and types of uncertainties being modelled different types of FSs can be obtained (e.g., Type-1, Interval Type-2, General Type-2). Arguably, one of the most flexible techniques is the Interval Agreement Approach (IAA) as it allows to model the perception of all respondents without making assumptions such as outlier removal or predefined membership function types (e.g. Gaussian). A key aspect in the analysis of interval-valued data and indeed, IAA based agreement models of said data, is to determine the position and strengths of agreement across all the sources/participants. While previously, the Agreement Ratio was proposed to measure the strength of agreement in fuzzy set based models of interval data, said measure has only been applicable to type-1 fuzzy sets. In this paper, we extend the Agreement Ratio to capture the degree of inter-group agreement modelled by a General Type-2 Fuzzy Set when using the IAA. This measure relies on using a similarity measure to quantitatively express the relation between the different levels of agreement in a given FS. Synthetic examples are provided in order to demonstrate both behaviour and calculation of the measure. Finally, an application to real-world data is provided in order to show the potential of this measure to assess the divergence of opinions for ambiguous concepts when heterogeneous groups of participants are involved.
Citation
Navarro, J., & Wagner, C. (2019). Measuring Inter-group Agreement on zSlice Based General Type-2 Fuzzy Sets
Conference Name | 2019 IEEE International Conference on Fuzzy Systems |
---|---|
Start Date | Jun 23, 2019 |
End Date | Jun 26, 2019 |
Acceptance Date | Mar 19, 2019 |
Publication Date | Jun 26, 2019 |
Deposit Date | Jul 11, 2019 |
Publicly Available Date | Jul 11, 2019 |
Public URL | https://nottingham-repository.worktribe.com/output/2299319 |
Related Public URLs | https://attend.ieee.org/fuzzieee-2019/ |
Additional Information | © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. |
Files
FuzzIEEE 2019 281 29
(1.4 Mb)
PDF
You might also like
Alpha-cut based compositional representation of fuzzy sets and exploration of associated fuzzy set regression
(2022)
Conference Proceeding
Visualization of Interval Regression for Facilitating Data and Model Insight
(2022)
Conference Proceeding
Does Permitting Uncertain Estimates Help or Hinder the Wisdom of Crowds?
(2022)
Conference Proceeding
Downloadable Citations
About Repository@Nottingham
Administrator e-mail: digital-library-support@nottingham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search