Abstract
One of the popular tools in decision making is a decision fusion since there might be several sources that provide decisions for one task. The Dempster’s rule of combination is one of the decision fusion methods used frequently in many research areas. However, there are so many uncertainties in classifier output. Hence, we propose a fuzzy Dempster’s rule of combination (FDST) where we fuzzify the discounted basic probability assignment and compute the fuzzy combination. We also have a rejection criterion for any sample with higher belief in both classes, not only one of the classes. We run the experiment with 2 classifiers, i.e., support vector machine (SVM) and radial basis function (RBF). We test our algorithm on 5 data sets from the UCI machine learning repository and SAR images on three military vehicle types. We compare our fusion result with that from the regular Dempster’s rule of combination (DST). All of our results are comparable or better than those from the DST.
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References
Li, W., Leung, H., Kwan, C., Linnell, B.R.: E-nose vapor identification based on Dempster-Shafer fusion of multiple classifiers. IEEE Trans. Instrum. Measur. 57(10), 2273–2282 (2008)
Mejdoubi, M., Aboutajdine, D., Kerroum, M.A., Hammouch, A.: Combining classifiers using Dempster-Shafer evidence theory to improve remote sensing images classification. In: International Conference on Multimedia Computing and Systems. IEEE, Ouarzazate (2011)
Verma, P., Yadava, R.D.S.: Evidence generation for Dempster-Shafer fusion using feature extraction multiplicity and radial basis network. In: International Conference on Emerging Trends in Electrical and Computer Technology, Chunkankadai, India, pp. 542–545 (2011)
Mohandes, M., Deriche, M.: Arabic sign language recognition by decisions fusion using Dempster-Shafer theory of evidence. In: Computing, Communications and IT Applications Conference (ComComAp), pp. 90–94. IEEE, Hong Kong (2013)
Bagheri, M.A., Hu, G., Gao, Q., Escalera, S.: A framework of multi-classifier fusion for human action recognition. In: International Conference on Pattern Recognition, pp. 1260–1265. IEEE (2014)
Perez, A., Tabia, H., Declercq, D., Zanotti, A.: Using the conflict in Dempster-Shafer evidence theory as a rejection criterion in classifier output combination for 3D human action recognition. Image Vis. Comput. 55(2), 149–157 (2016)
Ladjal, M., Bouamar, M., Djerioui, M., Brik, Y.: Performance evaluation of ANN and SVM multiclass models for intelligent water quality classification using Dempster-Shafer theory. In: 2nd International Conference on Electrical and Information Technologies, Movenpick Hotel Tangier Tangier, Morocco, pp. 191–196 (2016)
Ming, Y., You, L., Xueshan, H.: Probabilistic wind generation forecast based on sparse Bayesian classification and Dempster-Shafer theory. IEEE Trans. Ind. Appl. 52(3), 1998–2005 (2016)
Saha, S., Saha, S.: Combined committee machine for classifying dengue fever. In: International Conference on Microelectronics, Computing and Communication. IEEE, Durgapur (2016)
Liu, Z., Pan, Q., Dezert, J., Han, J., He, Y.: Classifier fusion with contextual reliability evaluation. IEEE Trans. Cybern. 99, 1–14 (2017)
Li, L., Tang, J., Liu, Y.: Partial discharge recognition in gas insulated switchgear based on multi-information fusion. IEEE Trans. Dielectr. Electr. Insul. 22(2), 1080–1087 (2015)
Jiao, L., Denoux, T., Pan, Q.: Fusion of pairwise nearest-neighbor classifiers based on pairwise-weighted distance metric and Dempster-Shafer theory. In: 17th International Conference on Information Fusion. IEEE, Salamanca (2014)
Yen, J.: Generalizing the Dempster-Shafer theory to fuzzy sets. IEEE Tran. Syst. Man Cybern. 20(3), 559–570 (1990)
Binaghi, E., Madella, P.: Fuzzy Dempster-Shafer reasoning for rule-based classifiers. Int. J. Intell. Syst. 14, 559–583 (1999)
Zhu, H., Basir, O.: A K-NN associated fuzzy evidential reasoning classifier with adaptive neighbor selection. In: Third IEEE International Conference on Data Mining, pp. 709–712 (2003)
Dutta, P., Ali, T.: Fuzzy focal elements in Dempster-Shafer theory of evidence: case study in risk analysis. Int. J. Comput. Appl. 34(1), 46–53 (2011)
Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. Ann. Math. Stat. 38(2), 325–339 (1967)
Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)
Klir, G., Yuan, B.: Fuzzy Sets and Fuzzy Logic: Theory and Application. Prentice Hall, New Jersey (1995)
Zadeh, L.: Outline of new approach to the analysis of complex systems and decision processes. IEEE Trans. Syst. Man Cybern. 3(1), 28–44 (1973)
Dong, W., Shah, H., Wong, F.: Fuzzy computations in risk and decision analysis. Civ. Eng Syst. 2, 201–208 (1985)
Dong, W., Wong, F.: Fuzzy weighted averages and implementation of the extension principle. Fuzzy Sets Syst. 21, 183–199 (1987)
Mizumoto, M., Tanaka, K.: Some properties of fuzzy numbers in advances in fuzzy sets theory and applications. In: Gupta, M.M. (ed.) Advances in Fuzzy Set Theory and Applications, pp. 153–164. North-Holland, Amsterdam (1979)
Moore, R.: Interval Analysis. Prentice-Hall, New Jersey (1966)
Ludmila, K.: Combining Pattern Classifiers Methods and Algorithms, 2nd edn. Wiley, Hoboken (2014)
Haykin, S.S.: Neural Networks: A Comprehensive Foundation. Prentice Hall, Upper Saddle River (1999)
Shafer, G.: Perspectives on the theory and practice of belief functions. Int. J. Approx. Reason. 4(5–6), 323–362 (1990)
Choobineh, F., Li, H.: An index for ordering fuzzy numbers. Fuzzy Sets Syst. 54(3), 287–294 (1993)
Blake, C., Keogh, E., Merz, C.J.: UCI repository of machine learning databases, Department of Information and Computer Science, University of California, Irvine, CA (1998). http://www.ics.uci.edu/~mlearn/MLRepository.html
Auephanwiriyakul, S., Munklang, Y., Theera-Umpon, N.: Synthetic Aperture Radar (SAR) Automatic Target Recognition (ATR) using fuzzy co-occurrence matrix texture features. In: Abielmona, R., Falcon, R., Zincir-Heywood, N., Abbass, H. (eds.) Recent Advances in Computational Intelligence in Defense and Security. Studies in Computational Intelligence, vol. 621. Springer, Cham (2016)
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Surathong, S., Auephanwiriyakul, S., Theera-Umpon, N. (2019). Decision Fusion Using Fuzzy Dempster-Shafer Theory. In: Unger, H., Sodsee, S., Meesad, P. (eds) Recent Advances in Information and Communication Technology 2018. IC2IT 2018. Advances in Intelligent Systems and Computing, vol 769. Springer, Cham. https://doi.org/10.1007/978-3-319-93692-5_12
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DOI: https://doi.org/10.1007/978-3-319-93692-5_12
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