Abstract
Membership degree, non-membership degree and hesitancy degree are the three components that characterized the intuitionistic fuzzy sets (IFSs). Based on information inherited from the three membership degrees, this paper proposes Cosine Similarity Measures (CSM) and Jaccard Similarity Measures (JSM) between IFSs and their application to a case of cancer diagnosis. Three experts in medical fraternity were invited to provide linguistic evaluation pertaining to symptoms with respect to types of cancer diseases, and patients with respect to symptoms using linguistic terms that defined in IFSs. The information of symptoms and type of cancer diseases for each patient was collected and then computed using CSM. The similar set of information was iterated using JSM. A comparative analysis of similarity measures between CSM and JSM is presented to illustrate the consistency of the two similarity measures of IFSs. It is shown that the two similarity measures are consistent in suggesting a cancer diagnosis despite differences in mathematical formulations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Vlachos, M.: Similarity measures. In: Sammut, C., Webb, G.I. (eds.) Encyclopaedia of Machine Learning. Springer, New York (2011)
Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986). https://doi.org/10.1016/s0165-0114(86)80034-3
Liang, Z. Shi, P.: Similarity measures on intuitionistic fuzzy sets. Pattern Recognit. Lett. 24, 2687–2693 (2003). https://doi.org/10.1016/s0167-8655(03)00111-9
Li, D., Cheng, C.: New similarity measures of intuitionistic fuzzy sets and application to pattern recognition. Pattern Recognit. Lett. 23, 221–225 (2002)
Abdullah, L., Wan Ismail, W.K.: Hesitation degree of intuitionistic fuzzy sets in a new cosine similarity measure. J. Uncertain Syst. 8, 109–115 (2014)
Jangale, S. Hadsul, D.: Fault detection mechanism for wireless sensor networks. Int. J. Eng. Sci. Innov. Tech. 2, 558–563 (2013)
Atanassov, T.: Intuitionistic fuzzy sets: theory and application. Physica-Verlag, Heidelberg (1999)
Ye, J.: Cosine similarity measures for intuitionistic fuzzy sets and their applications. Math. Comput. Model. 53, 91–97 (2011)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Abdullah, L., Chan, S.W. (2019). Similarity Measures of Intuitionistic Fuzzy Sets for Cancer Diagnosis: A Comparative Analysis. In: Kor, LK., Ahmad, AR., Idrus, Z., Mansor, K. (eds) Proceedings of the Third International Conference on Computing, Mathematics and Statistics (iCMS2017). Springer, Singapore. https://doi.org/10.1007/978-981-13-7279-7_5
Download citation
DOI: https://doi.org/10.1007/978-981-13-7279-7_5
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-7278-0
Online ISBN: 978-981-13-7279-7
eBook Packages: Computer ScienceComputer Science (R0)