Measuring the directional distance between fuzzy sets

McCulloch, Josie and 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.

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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.

Item Type: Conference or Workshop Item (Paper)
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
Keywords: Fuzzy, Logic
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Computer Science
Depositing User: Aickelin, Professor Uwe
Date Deposited: 29 Sep 2014 16:06
Last Modified: 15 Sep 2016 01:10
URI: http://eprints.nottingham.ac.uk/id/eprint/3340

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