Measuring the Directional Distance Between Fuzzy Sets
Abstract
The measure of distance between two fuzzy sets is a fundamental tool within fuzzy set theory. However, current distance measures within the literature do not account for the direction of change between fuzzy sets; a useful concept in a variety of applications, such as Computing With Words. In this paper, we highlight this utility and introduce a distance measure which takes the direction between sets into account. We provide details of its application for normal and non-normal, as well as convex and non-convex fuzzy sets. We demonstrate the new distance measure using real data from the MovieLens dataset and establish the benefits of measuring the direction between fuzzy sets.
Keywords
Cite
@article{arxiv.1308.5137,
title = {Measuring the Directional Distance Between Fuzzy Sets},
author = {Josie McCulloch and Christian Wagner and Uwe Aickelin},
journal= {arXiv preprint arXiv:1308.5137},
year = {2013}
}
Comments
UKCI 2013, the 13th Annual Workshop on Computational Intelligence, Surrey University