Josie McCulloch
Measuring the directional distance between fuzzy sets
McCulloch, Josie; Wagner, Christian; Aickelin, Uwe
Authors
Abstract
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.
Conference Name | UKCI 2013, the 13th Annual Workshop on Computational Intelligence |
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End Date | Sep 11, 2013 |
Publication Date | Jan 1, 2013 |
Deposit Date | Sep 29, 2014 |
Publicly Available Date | Sep 29, 2014 |
Peer Reviewed | Peer Reviewed |
Keywords | Fuzzy, Logic |
Public URL | https://nottingham-repository.worktribe.com/output/1004954 |
Publisher URL | http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6651285 |
Additional Information | Published in: 2013 13th UK Workshop on Computational Intelligence (UKCI): UKCI 2013 / editors: Yaochu Jin, Spencer Angus Thomas. Piscataway, NJ : IEEE, 2013. (ISBN: 9781479915668) pp. 38-45 (doi: 10.1109/UKCI.2013.6651285 ) © IEEE 2013 |
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