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A fuzzy directional distance measure

McCulloch, Josie; Hinde, Chris; Wagner, Christian; Aickelin, Uwe

Authors

Josie McCulloch

Chris Hinde

Uwe Aickelin



Abstract

The measure of distance between two fuzzy sets is a fundamental tool within fuzzy set theory, however, distance measures currently within the literature use a crisp value to represent the distance between fuzzy sets. A real valued distance measure is developed into a fuzzy distance measure which better reflects the uncertainty inherent in fuzzy sets and a fuzzy directional distance measure is presented, which accounts for the direction of change between fuzzy sets. A multiplicative version is explored as a full maximal assignment is computationally intractable so an intermediate solution is offered.

Publication Date Jul 8, 2014
Peer Reviewed Peer Reviewed
APA6 Citation McCulloch, J., Hinde, C., Wagner, C., & Aickelin, U. (2014). A fuzzy directional distance measure
Keywords Fuzzy, Logic
Publisher URL http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6891575
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: 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). Piscataway, NJ : IEEE, 2014. (ISBN: 9781479920730), pp. 141-148 (doi: 10.1109/FUZZ-IEEE.2014.6891575), © 2014 IEEE

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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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