A fuzzy directional distance measure

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

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.

Citation

McCulloch, J., Hinde, C., Wagner, C., & Aickelin, U. (2014). A fuzzy directional distance measure.

• Conference Name: 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
• Publication Date: Jul 8, 2014
• Deposit Date: Sep 30, 2014
• Publicly Available Date: Sep 30, 2014
• Peer Reviewed: Peer Reviewed
• Keywords: Fuzzy, Logic
• Public URL: https://nottingham-repository.worktribe.com/output/732843
• Publisher URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6891575
• 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