Browse > Article
http://dx.doi.org/10.5391/IJFIS.2010.10.3.218

Mutual Information Analysis with Similarity Measure  

Wang, Hong-Mei (School of Mechatronics, Changwon National University)
Lee, Sang-Hyuk (Institute for Information and Electronics Research, Inha University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.10, no.3, 2010 , pp. 218-223 More about this Journal
Abstract
Discussion and analysis about relative mutual information has been carried out through fuzzy entropy and similarity measure. Fuzzy relative mutual information measure (FRIM) plays an important part as a measure of information shared between two fuzzy pattern vectors. This FRIM is analyzed and explained through similarity measure between two fuzzy sets. Furthermore, comparison between two measures is also carried out.
Keywords
certainty; fuzzy relative mutual informationy; fuzzy entropy; shared information; similarity measure;
Citations & Related Records
연도 인용수 순위
  • Reference
1 DeLuca and S. Termini, “Adefinition of nonprobablistic entropy in the setting of fuzzy sets theory”, Information and Control, vol. 20, no. 3, pp. 301-312, 1972. doi:10.1016/S0019-9958(72)90199-4.   DOI   ScienceOn
2 L.A. Zadeh, “Probabilistic measures of fuzzy events”, Journal of Mathematical Analysis and Applications, vol. 23, no. 10, pp. 421-727, 1968   DOI
3 Kaufmann(ed.), Introduction to the Theory of Fuzzy Subsets-Fundamental Theoretical Elements, Academic Press, New York, 1975.
4 S.H. Lee, S. J. Kim, N. Y. Jang, “Design of Fuzzy Entropy for Non Convex Membership Function”, CCIS, vol. 15, pp. 55–60, 2008. doi:10.1007/978-3-540-85930-7.   DOI
5 S.F. Ding, S,H. Xia, F.X. Jin, Z.Z. Shis, “Novel fuzzy information proximity measures”, Journal of Information Science, vol. 33, no. 6, 678-685, 2007. doi: 10.1177/0165551507076332.   DOI
6 L. Xuecheng, “Entropy, distance measure and similarity measure of fuzzy sets and their relations”, Fuzzy Sets and Systems, vol. 52, pp. 305-318, 1992. doi: 10.1016/0165-0114(92)90239-Z   DOI   ScienceOn
7 D. Bhandari and N.R. Pal, “Some new information measure of fuzzy sets”, Inform. Sci. vol. 67, pp. 209–228, 1993. doi: 10.1016/0020-0255(93)90073-U.   DOI   ScienceOn
8 Ghosh, “Use of fuzziness measure in layered networks for object extraction: a generalization”, Fuzzy Sets and Systems, vol. 72, pp. 331–348,1995. doi: 10.1016/0165-0114(94)00291-E.   DOI   ScienceOn
9 S.J. Chen and S.M. Chen. Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers. IEEE Trans. on Fuzzy Systems, vol. 11, no. 1, pp.45-56, 2003. doi: 10.1109/TFUZZ.2002.806316.   DOI   ScienceOn
10 S.H. Lee, W. Pedrycz, and Gyoyong Sohn, “Design of Similarity and Dissimilarity Measures for Fuzzy Sets on the Basis of Distance Measure”, International Journal of Fuzzy Systems, vol. 11, pp. 67-72, 2009.
11 S.H. Lee, K.H.Ryu, G.Y. Sohn, “Study on Entropy and Similarity Measure for Fuzzy Set”, IEICE Trans. Inf. & Syst., vol. E92-D, pp. 1783-1786, 2009.   DOI
12 S.H. Lee, Y.T. Kim, S.P. Cheon, and S.S. Kim, “Reliable data selection with fuzzy entropy”, LNAI, vol. 3613, pp. 203–212, 2005.   DOI   ScienceOn