Measuring the directional distance between fuzzy sets
The measure of distance between two fuzzy sets is a fundamental tool within fuzzy set theory. However, current distance measures within the literature do not account for the direction of change between fuzzy sets; a useful concept in a variety of applications, such as Computing With Words. In this p...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
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2013
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| Online Access: | https://eprints.nottingham.ac.uk/3340/ |
| _version_ | 1848791004265578496 |
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| author | McCulloch, Josie Wagner, Christian Aickelin, Uwe |
| author_facet | McCulloch, Josie Wagner, Christian Aickelin, Uwe |
| author_sort | McCulloch, Josie |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | The measure of distance between two fuzzy sets is a fundamental tool within fuzzy set theory. However, current distance measures within the literature do not account for the direction of change between fuzzy sets; a useful concept in a variety of applications, such as Computing With Words. In this paper, we highlight this utility and introduce a distance measure which takes the direction between sets into account. We provide details of its application for normal and non-normal, as well as convex and non-convex fuzzy sets. We demonstrate the new distance measure using real data from the MovieLens dataset and establish the benefits of measuring the direction between fuzzy sets. |
| first_indexed | 2025-11-14T18:21:37Z |
| format | Conference or Workshop Item |
| id | nottingham-3340 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:21:37Z |
| publishDate | 2013 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-33402020-05-04T20:20:36Z https://eprints.nottingham.ac.uk/3340/ Measuring the directional distance between fuzzy sets McCulloch, Josie Wagner, Christian Aickelin, Uwe The measure of distance between two fuzzy sets is a fundamental tool within fuzzy set theory. However, current distance measures within the literature do not account for the direction of change between fuzzy sets; a useful concept in a variety of applications, such as Computing With Words. In this paper, we highlight this utility and introduce a distance measure which takes the direction between sets into account. We provide details of its application for normal and non-normal, as well as convex and non-convex fuzzy sets. We demonstrate the new distance measure using real data from the MovieLens dataset and establish the benefits of measuring the direction between fuzzy sets. 2013 Conference or Workshop Item PeerReviewed McCulloch, Josie, Wagner, Christian and Aickelin, Uwe (2013) Measuring the directional distance between fuzzy sets. In: UKCI 2013, the 13th Annual Workshop on Computational Intelligence, 9-11 Sept 2013, University of Surrey. Fuzzy Logic http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6651285 |
| spellingShingle | Fuzzy Logic McCulloch, Josie Wagner, Christian Aickelin, Uwe Measuring the directional distance between fuzzy sets |
| title | Measuring the directional distance between fuzzy sets |
| title_full | Measuring the directional distance between fuzzy sets |
| title_fullStr | Measuring the directional distance between fuzzy sets |
| title_full_unstemmed | Measuring the directional distance between fuzzy sets |
| title_short | Measuring the directional distance between fuzzy sets |
| title_sort | measuring the directional distance between fuzzy sets |
| topic | Fuzzy Logic |
| url | https://eprints.nottingham.ac.uk/3340/ https://eprints.nottingham.ac.uk/3340/ |