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Soft Computing

, Volume 20, Issue 5, pp 1909–1919 | Cite as

A hierarchy-based similarity measure for intuitionistic fuzzy sets

  • Peerasak IntarapaiboonEmail author
Methodologies and Application

Abstract

Due to some unreasonable results obtained from most current similarity measures for intuitionistic fuzzy sets (IFSs), we introduce a necessary condition to obtain a stronger definition of similarity measures for IFSs, and present a new similarity measure derived from a general idea of similarity measures for concepts on a lattice. In experiments, we focus our attention on two basic directions of performance evaluation: one is how much the proposed measure is reasonable and the other is how much accuracy the measure produces when it is applied to classification problems. The experimental results show that the proposed measure is reasonable and achieves a satisfactory performance on classification problems.

Keywords

Intuitionistic fuzzy set Similarity measure Classification 

Notes

Acknowledgments

The author thanks the anonymous referees for very useful suggestion to improve this paper and gratefully acknowledges the financial support provided by Thammasat University Research Fund under the TU Research Scholar, Contract No. 1/8/2557.

Conflict of interest

I certify that there is no actual or potential conflict of interest in relation to this article.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of Mathematics and Statistics, Faculty of Science and TechnologyThammasat UniversityPathum ThaniThailand

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