Some Similarity Measures of Interval-Valued Intuitionistic Fuzzy Sets and Application to Pattern Recognition

Qian Sheng Zhang; Hai Xiang Yao; Zhen Hua Zhang

doi:10.4028/www.scientific.net/AMM.44-47.3888

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 44-47Some Similarity Measures of Interval-Valued...

Some Similarity Measures of Interval-Valued Intuitionistic Fuzzy Sets and Application to Pattern Recognition

Abstract:

In this paper, we present an effective method for evaluating some similarity measures of interval-valued intuitionistic fuzzy sets(IvIFSs) on the basis of Hausdorff metric. Some properties of the proposed similarity measures are discussed and the related similarity measures are also compared. Finally, one numerical example is given to demonstrate the application of the presented similarity measures of IvIFSs to pattern recognition problem.

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Periodical:

Applied Mechanics and Materials (Volumes 44-47)

Pages:

3888-3892

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.44-47.3888

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Online since:

December 2010

Authors:

Qian Sheng Zhang, Hai Xiang Yao, Zhen Hua Zhang

Keywords:

Hausdorff Metric, Interval-Valued Intuitionistic Fuzzy Set, Pattern Recognition, Similarity Measure

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