%0 Journal Article %T A Fuzzy Directional Distance Measure %A Josie C. McCullochy %A Chris J. Hinde %A Christian Wagner %A Uwe Aickelin %J Computer Science %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1409.1045v1