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http://dx.doi.org/10.5391/IJFIS.2010.10.4.275

Information Quantification Application to Management with Fuzzy Entropy and 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.4, 2010 , pp. 275-280 More about this Journal
Abstract
Verification of efficiency in data management fuzzy entropy and similarity measure were discussed and verified by applying reliable data selection problem and numerical data similarity evaluation. In order to calculate the certainty or uncertainty fuzzy entropy and similarity measure are designed and proved. Designed fuzzy entropy and similarity are considered as dissimilarity measure and similarity measure, and the relation between two measures are explained through graphical illustration. Obtained measures are useful to the application of decision theory and mutual information analysis problem. Extension of data quantification results based on the proposed measures are applicable to the decision making and fuzzy game theory.
Keywords
certainty; uncertainty; data management; fuzzy entropy; similarity measure;
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1 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, pp. 678-685, 2007. doi: 10.1177/0165551507076332.   DOI
2 Y.A. Hwang, “Fuzzy games: A characterization of the core”, Fuzzy Sets and Systems, vol. 158, pp. 2480-2493, 2007. doi:10.1016/j.fss.2007.03.009.   DOI   ScienceOn
3 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
4 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
5 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.
6 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, Sep. pp. 1783-1786, 2009.   DOI
7 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
8 S.H. Lee, Y.T. Kim, S.P. Cheon, and S.S. Kim, “Reliable data selection with fuzzy entropy”, Lecture Notes in Artificial Intelligence, vol. 3613, pp. 203–212, 2005. doi:10.1007/11539506.   DOI
9 S.H. Lee, S. J. Kim, N. Y. Jang, “Design of Fuzzy Entropy for Non Convex Membership Function”, Communications in Computer and Information Science, vol. 15, pp. 55–60, 2008. doi:10.1007/978-3-540-85930-7.   DOI
10 S. H. Lee, H. J. Park, W. J. Park, “Similarity computation between fuzzy set and crisp set with similarity measure based on distance”, Lecture Notes in Computer Science, vol. 4993, pp. 644–649, 2008. doi:10.1007/978-3-540-68636-1_77.   DOI   ScienceOn
11 M. Roubens, “Fuzzy sets and decision analysis”, Fuzzy Sets and Systems, vol. 90, pp. 199–206, 1997. doi:10.1016/S0165-0114(97)00087-0.   DOI   ScienceOn
12 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
13 H. T Nguyen, “Fuzzy sets and probability”, Fuzzy Sets and Systems, vol. 90, pp. 129-132, 1997. doi:10.1016/S0165-0114(97)00078-X.   DOI   ScienceOn