A fuzzy directional distance measure
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 bet...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Published: |
2014
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| Online Access: | https://eprints.nottingham.ac.uk/3352/ |
| _version_ | 1848791007608438784 |
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| author | McCulloch, Josie Hinde, Chris Wagner, Christian Aickelin, Uwe |
| author_facet | McCulloch, Josie Hinde, Chris Wagner, Christian Aickelin, Uwe |
| author_sort | McCulloch, Josie |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:21:40Z |
| format | Conference or Workshop Item |
| id | nottingham-3352 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:21:40Z |
| publishDate | 2014 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-33522020-05-04T16:51:21Z https://eprints.nottingham.ac.uk/3352/ A fuzzy directional distance measure McCulloch, Josie Hinde, Chris Wagner, Christian Aickelin, Uwe 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. 2014-07-08 Conference or Workshop Item PeerReviewed McCulloch, Josie, Hinde, Chris, Wagner, Christian and Aickelin, Uwe (2014) A fuzzy directional distance measure. In: 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 6-11 July, Beijing, China. Fuzzy Logic http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6891575 |
| spellingShingle | Fuzzy Logic McCulloch, Josie Hinde, Chris Wagner, Christian Aickelin, Uwe A fuzzy directional distance measure |
| title | A fuzzy directional distance measure |
| title_full | A fuzzy directional distance measure |
| title_fullStr | A fuzzy directional distance measure |
| title_full_unstemmed | A fuzzy directional distance measure |
| title_short | A fuzzy directional distance measure |
| title_sort | fuzzy directional distance measure |
| topic | Fuzzy Logic |
| url | https://eprints.nottingham.ac.uk/3352/ https://eprints.nottingham.ac.uk/3352/ |