Mathematical properties of soft cardinality: enhancing Jaccard, Dice and cosine similarity measures with element-wise distance

DOI10.1016/j.ins.2016.06.012zbMath1428.68300OpenAlexW2428712879WikidataQ57555779 ScholiaQ57555779MaRDI QIDQ2282026

Alexander Gelbukh, Sergio Jimenez, Fabio A. González

Publication date: 6 January 2020

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2016.06.012

zbMATH Keywords

cosine similaritycardinality-based similarity measuresDice's indexdiversity-based similarity functionsJaccard's indexsoft cardinality

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (1)

Bidirectional comparison of multi-attribute qualitative objects

Cites Work

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• Optimal approximations with rough sets and similarities in measure spaces
• Similarity measures for general type-2 fuzzy sets based on the \(\alpha\)-plane representation
• Towards a unifying approach to diversity measures: bridging the gap between the Shannon entropy and Rao's quadratic index
• Learning similarity with cosine similarity ensemble
• On asymmetric matching between sets
• A proof for the positive definiteness of the Jaccard index matrix
• Cardinality of fuzzy sets via bags
• Fuzzy sets
• A class of rational cardinality-based similarity measures
• On the theory of bags and lists

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