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Similarity Measures on Interval-Valued Fuzzy Sets and Application to Pattern Recognitions

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Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 40))

Abstract

The concept of interval valued fuzzy sets (IVFSs), proposed by Dubois et al and Gorza lczany, has gained attention from researchers for its applications in various fields. Although many measures of similarity between FSs have been proposed in the literature, those measures cannot deal with the similarity measures between IVFSs. In this paper, the definition of the degree of similarity between IVFSs is introduced. Then similarity measures between IVFSs are proposed and corresponding proofs are given. Finally, the similarity measures are applied to pattern recognitions.

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Bing-Yuan Cao

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© 2007 Springer-Verlag Berlin Heidelberg

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Ju, H., Yuan, X. (2007). Similarity Measures on Interval-Valued Fuzzy Sets and Application to Pattern Recognitions. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_95

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  • DOI: https://doi.org/10.1007/978-3-540-71441-5_95

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71440-8

  • Online ISBN: 978-3-540-71441-5

  • eBook Packages: EngineeringEngineering (R0)

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