A hierarchy-based similarity measure for intuitionistic fuzzy sets
- 455 Downloads
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.
KeywordsIntuitionistic fuzzy set Similarity measure Classification
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.
- Hwang CM, Yang MS (2012) Modified cosine similarity measure between intuitionistic fuzzy sets. 4th international conference (AICI 2012). Chengdu, China, pp 285–293Google Scholar
- Liu G (2009) Closures of intuitionistic fuzzy relations. In: Wen P, Li Y, Polkowski L, Yao Y, Tsumoto S, Wang G (eds), Rough sets and knowledge technology, Springer, Heidelberg pp 281–288Google Scholar
- Rezaei H, Mukaidono M (2007) New similarity measures of intuitionistic fuzzy sets. J Adv Comput Intell Intell Inf 11(2):202–209Google Scholar
- Szmidt E, Kacprzyk J (2000) Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst 114(3):505–518Google Scholar
- Szmidt E, Kacprzyk J (2005) A new measure of entropy and its connection with a similarity measure for intuitionistic fuzzy sets. In: EUSFLAT-LFA’05, Barcelona, Spain pp 461–466Google Scholar