Abstract
Similarity measure is one of important, effective and widely-used methods in data processing and analysis. Vague set, as a generalized fuzzy set, has more powerful ability to process fuzzy information than fuzzy set. In this paper, we propose a new similarity measure between vague sets. Compared to existing similarity measures, our approach is far more reasonable, practical yet useful in measuring the similarity between vague sets.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)
Gau, W.L., Buehrer, D.J.: Vague sets. IEEE Trans. Syst. Man. Cybern. 23(2), 610–614 (1993)
Chen, S.M.: Measures of similarity between vague sets. Fuzzy Sets Syst. 74(2), 217–223 (1995)
Hong, D.H., Kim, C.: A note on similarity measures between vague sets and elements. Inf. Sci. 115, 83–96 (1999)
Li, F., Xu, Z.Y.: Similarity measures between vague sets. Chinese J. Software 12(6), 922–927 (2001)
Li, Y.H., Chi, Z.X., Yan, D.Q.: Vague similarity and vague entropy. Comput. Sci. 29(12), 129–132 (2002). (Chinese journal)
Szmidt, E., Kacprzyk, J.: Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst. 114, 505–518 (2000)
Grzegorzewski, P.: Distances Between Intuitionistic Fuzzy Sets and/or Interval valued Fuzzy Sets Based on the Hausdorff Metric. Fuzzy Sets and Systems, 2003
Pappis, C.P., Karacapilidis, N.I.: A comparative assessment of measures of similarity of fuzzy values. Fuzzy Sets Syst. 56, 171–174 (1993)
Zhang, W.N., Wang, K.: An efficient evaluation of a fuzzy equi-join using fuzzy equality indicators. IEEE Trans. Knowl. Data Eng. 12(2), 225–237 (2000)
Ma, Z.M., Zhang, W.J., Ma, W.Y.: Semantic measure of fuzzy data in extended possibility-based fuzzy relational database. Int. J. Intell. Syst. 15(8), 705–716 (2000)
Lu, A., Ng, W.: Managing merged data by vague functional dependencies. Lect. Notes Comput. Sci. 3288, 259–272 (2004)
Li, Y.H., Olson, D.L., Qin, Z.: Similarity measures between intuitionistic fuzzy (vague) sets: A comparative analysis. Pattern Recogn. Lett. 28(2), 278–285 (2007)
Zhang, D.F., Zhang, J.L., Lai, K.K., Lu, Y.: An Novel approach to supplier selection based on vague sets group decision. Expert Syst. Appl. 36(5), 9557–9563 (2009)
Zhang, Q.S., Jiang, S.Y.: A note on information entropy measures for vague sets and its applications. Inf. Sci. 178, 4184–4191 (2008)
Ye, J.: Using an improved measure function of vague sets for multicriteria fuzzy decision-making. Expert Syst. Appl. 37, 4706–4709 (2010)
Geng, X.L, Chu, X.N., Zhang, Z.F.: Test article sample title placed here. Expert Syst. Appl. 37, 6629–6638 (2010)
Acknowledgments
The research was supported by the National Natural Science Foundation of China (Grant No. 60972115) and the Scientific Research Common Program of Beijing Municipal Commission of Education (Grant No. SQKM201211232016).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Zhang, BJ. (2016). A New Similarity Measure Between Vague Sets. In: Cao, BY., Liu, ZL., Zhong, YB., Mi, HH. (eds) Fuzzy Systems & Operations Research and Management. Advances in Intelligent Systems and Computing, vol 367. Springer, Cham. https://doi.org/10.1007/978-3-319-19105-8_12
Download citation
DOI: https://doi.org/10.1007/978-3-319-19105-8_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19104-1
Online ISBN: 978-3-319-19105-8
eBook Packages: EngineeringEngineering (R0)