Toward Fuzzy-valued Matching and Similarity Assessment
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A fuzzy-valued measure of the degree of matching of two fuzzy sets is proposed based on the Jaccard index applied to the level sets. This measure satisfies a generalization the criteria of Dubois and Prade (1982) for point-valued matching indices. A similarity index is obtained by combining the matching index with a proximity assessment. These fuzzy-valued indices provide a more comprehensive summarization of the similarity of fuzzy sets than the standard point-valued measures.
& Cross, V.
(1996). Toward Fuzzy-valued Matching and Similarity Assessment. Proceedings of North American Fuzzy Information Processing Society, 59-62.