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Tytuł artykułu

A Multi-Criteria Decision Method Based on Rank Distance

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Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
The multi-criteria decision making process can be summarized as follows. Given a pattern d and a set C = {c_1, c_2, .., c_m} of allmpossible categories of d, we are interested in predicting its class by using a set of n classifiers l_1, l_2, .., l_n. Each classifier produces a ranking of categories. In this paper we propose and test a decision method which combines the rankings by using a particular method, called rank distance categorization. This method is actually based on the rank distance, a metric which was successfully used in computational linguistics and bioinformatics. We define the method, present some of its mathematical and computational properties and we test it on the digit dataset consisting of handwritten numerals ('0', .., '9') extracted from a collection of Dutch utility maps. We compare our experimental results with other reported experiments which used the same dataset but different combining methods
Wydawca
Rocznik
Strony
79--91
Opis fizyczny
bibliogr. 21 poz., tab.
Twórcy
autor
autor
  • University of Bucharest, Faculty of Mathematics and Computer Science, Academiei 14, 010014, Bucharest, Romania, dinu@funinf.cs.unibuc.ro
Bibliografia
  • [1] K. J. Arrow. Social Choice and Indivudual Values, 2nd ed., New York,Wiley, 1963.
  • [2] C. de la Higuera, F. Casacuberta. Topology of strings: Median string is NP- complete, Theor. Comp. Sci., 230, 39-48, 2000.
  • [3] P. Diaconis. Group Representation in Probability and Statistics, IMS Lecture Series 11, IMS, 1988.
  • [4] P. Diaconis and R.L. Graham. Spearman footrule as a measure of disarray, Journal of Royal Statistical Society. Series B (Methodological), Vol. 39, No. 2, 262-268, 1977.
  • [5] L.P. Dinu. On the classification and aggregation of hierarchies with different constitutive elements, Fundamenta Informaticae, 55(1), 39-50, 2003.
  • [6] L. P. Dinu, A. Dinu. On the syllabic similarities of Romance languages. In A. Gelbukh (Ed.): CICLing 2005, LNCS 3406, 785-788, 2005.
  • [7] L.P.Dinu, F. Manea. An efficient approach for computing median rankings, Theoretical Computer Science, vol 359 (1-3), pp. 455-461, 2006.
  • [8] L.P. Dinu, A. Sgarro. A low-complexity distance for DNA strings, Fundamenta Informaticae, 73(3) , 361-372, 2006.
  • [9] R.P.W. Duin, PRTools 3.0, A Matlab Toolbox for Pattern Recognition, Delft University of Technology, 2000.
  • [10] R.P.W. Duin, David M.J. Tax. Experiments with Classifier Combining Rules. In J. Kittler and F. Roli (Eds.): MCS 2000, LNCS 1857, pp. 16-29, 2000.
  • [11] C. Dwork, R. Kumar, M. Naor, and D. Sivakumar. Rank aggregation methods for the web, Proc. of the 10th InternationalWWW Conference, 613-622, 2001.
  • [12] K. Fukuda, T. Matsui. Finding all minimum cost perfect matchings in bipartite graphs, Networks, 22, 461-468, 1992.
  • [13] T.K. Ho, J. Hull and S. Srihari. Decision Combination in Multiple Classifier Systems, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 16, no 1, pp. 66-75, 1994.
  • [14] A.K. Jain, R.P.W. Duin, and J. Mao, Statistical Pattern Recognition: A Review, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 22, no. 1, 4-37, 2000.
  • [15] J. Kittler, M. Hatef, R.P.W. Duin, and J. Matas, On Combining Classifiers, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 20, no. 3, 226-239, 1998.
  • [16] C.-L. Liu. Classifier combination basedon confidence transformation, Pattern Recognition 38, 11-28, 2005.
  • [17] F. Manea, C. Ploscaru. Solving a combinatorial problem with network flows, J. of Appl. Math. and Comp., 17(1-2), 391-399, 2005.
  • [18] F. Manea, C. Ploscaru. A generalization of the Assignment Problem, and its application to the Rank Aggregation Problem, Fundamenta Informaticae, 81(4) (2007), 459-471.
  • [19] S. Marcus. Linguistic structures and generative devices in molecular genetics, Cahiers Ling. Theor. Appl., 11, 77-104, 1974.
  • [20] F. Nicolas, E. Rivals, Hardness Results for the Center and Median String Problems under the Weighted and Unweighted Edit Distances, J. of Discrete Algorithms, 3(2-4), 390-415, 2005.
  • [21] http://rankd.info.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS5-0018-0004
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