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Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance

✍ Scribed by Wen-Liang Hung; Miin-Shen Yang

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 292 KB
Volume: 25
Category: Article
ISSN: 0167-8655
DOI: 10.1016/j.patrec.2004.06.006

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✦ Synopsis

This paper presents a new method for similarity measures between intuitionistic fuzzy sets (IFSs). We will present a method to calculate the distance between IFSs on the basis of the Hausdorff distance. We will then use this distance to generate a new similarity measure to calculate the degree of similarity between IFSs. Finally we will prove some properties of the proposed similarity measure and use several examples to compare the proposed similarity measure with existing methods. Numerical results show that the proposed similarity measure is much simpler than existing methods and is well suited to use with linguistic variables.

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