A fuzzy directional distance measure
McCulloch, Josie and Hinde, Chris and 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.
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.
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