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Measuring the directional distance between fuzzy sets

McCulloch, Josie; Wagner, Christian; Aickelin, Uwe

Authors

Josie McCulloch

Christian Wagner

Uwe Aickelin



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.

Publication Date Jan 1, 2013
Peer Reviewed Peer Reviewed
APA6 Citation McCulloch, J., Wagner, C., & Aickelin, U. (2013). Measuring the directional distance between fuzzy sets
Keywords Fuzzy, Logic
Publisher URL http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6651285
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
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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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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