Abstract
The computation procedure of similarity between fuzzy set and crisp set is derived. The proposed similarity measure is constructed through distance measure. And our results are compared with those of previous similarity which is based on fuzzy number.
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References
Chen, S.M.: New methods for subjective mental workload assessment and fuzzy risk analysis. Cybern. Syst.: Int. J. 27(5), 449–472 (1996)
Hsieh, C.H., Chen, S.H.: Similarity of generalized fuzzy numbers with graded mean integration representation. In: Proc. 8th Int. Fuzzy Systems Association World Congr., vol. 2, pp. 551–555 (1999)
Lee, H.: An optimal aggregation method for fuzzy opinions of group decision. In: Proc. 1999 IEEE Int. Conf. Systems, Man, Cybernetics, vol. 3, pp. 314–319 (1999)
Chen, S.J., Chen, S.M.: Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers. IEEE Trans. on Fuzzy Systems 11(1), 45–56 (2003)
Lee, S.H., Cheon, S.P., Kim, J.: Measure of certainty with fuzzy entropy function. In: Huang, D.-S., Li, K., Irwin, G.W. (eds.) ICIC 2006. LNCS (LNAI), vol. 4114, pp. 134–139. Springer, Heidelberg (2006)
Lee, S.H., Kim, J.M., Choi, Y.K.: Similarity measure construction using fuzzy entropy and distance measure. In: Huang, D.-S., Li, K., Irwin, G.W. (eds.) ICIC 2006. LNCS (LNAI), vol. 4114, pp. 952–958. Springer, Heidelberg (2006)
Liu, X.: Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets and Systems 52, 305–318 (1992)
Fan, J.L., Xie, W.X.: Distance measure and induced fuzzy entropy. Fuzzy Set and Systems 104, 305–314 (1999)
Fan, J.L., Ma, Y.L., Xie, W.X.: On some properties of distance measures. Fuzzy Set and Systems 117, 355–361 (2001)
Park, D.H., Lee, S.H., Song, E.H., Ahn, D.K.: Similarity computation of fuzzy membership function pairs with similarity measure. In: Huang, D.-S., Heutte, L., Loog, M. (eds.) ICIC 2007. LNCS (LNAI), vol. 4682, pp. 485–492. Springer, Heidelberg (2007)
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Lee, S.H., Park, H., Park, W.J. (2008). Similarity Computation between Fuzzy Set and Crisp Set with Similarity Measure Based on Distance. In: Li, H., Liu, T., Ma, WY., Sakai, T., Wong, KF., Zhou, G. (eds) Information Retrieval Technology. AIRS 2008. Lecture Notes in Computer Science, vol 4993. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68636-1_77
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DOI: https://doi.org/10.1007/978-3-540-68636-1_77
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-68633-0
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