Novel Similarity Measure for Interval-Valued Data Based on Overlapping Ratio
Shaily Kabir, Christian Wagner, Timothy C Havens, Derek T Anderson, Uwe Aickelin
IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2017) | IEEE | Published : 2017
In computing the similarity of intervals, current similarity measures such as the commonly used Jaccard and Dice measures are at times not sensitive to changes in the width of intervals, producing equal similarities for substantially different pairs of intervals. To address this, we propose a new similarity measure that uses a bi-directional approach to determine interval similarity. For each direction, the overlapping ratio of the given interval in a pair with the other interval is used as a measure of uni-directional similarity. We show that the proposed measure satisfies all common properties of a similarity measure, while also being invariant in respect to multiplication of the interval ..View full abstract
Shaily Kabir acknowledges the financial support of the Commonwealth Scholarship Commission in the UK.