Generalized Aggregate Uncertainty Measure 2 for Uncertainty Evaluation of a Dezert-Smarandache Theory based Localization Problem

[1] P. Pong, S. Challa, Empirical analysis of generalized uncertainty measures with Dempster-Shafer fusion, in:  10th Int. Conf. on Information Fusion, Quebec, Que, 9-12 July, 2007.

[2] J. Esteban, Starr A., Willetts R., Hannah P., Bryanston-Cross P., A review of data fusion models and architectures: towards engineering guidelines, Neural Computing & Application, 14 (2005) 273-281.

[3] G. Shafer, A mathematical theory of evidence, Princeton Univ. Press, Princeton, NJ, 1976.

[4] R.R. Yager, Hedging in the combination of evidence, Journal of Information Optimization Science, 4 (1983) 73-81.

[5] R.R. Yager, On the Dempster–Shafer framework and new combination rules, Information Science, 41 (1987) 93-138.

[6] P. Smets, R. Kennes, The transferable belief model, Artificial Intelligence, 66(2) 191-234.

[7] D. Dubois, H. Prade, Representation and combination of uncertainty with belief functions and possibility measures, Computational Intelligence, 4 (1988) 244-264.

[8] J.P. Yang, H.Z. Huang, Y. Liu, Y.F. Li, Quantification classification algorithm of multiple sources of evidence, International Journal of Information Technology & Decision Making, 14(5) (2015) 1017-1034.

[9] J. Dezert, Foundation for a new theory of plausible and paradoxical reasoning, Information Security Journal, 9 (2002) 13-57.

[10] F. Smarandache, J. Dezert, Advances and applications of DSmT for information fusion, (collected works), vol. 1, American Research Press, 2004.

[11] F. Smarandache, J. Dezert, Advances and applications of DSmT for information fusion, (collected works), vol. 2, American Research Press, 2006.

[12] F. Smarandache, J. Dezert, Advances and applications of DSmT for information fusion, (collected works), vol. 3, American Research Press, 2009.

[13] R.V.L. Hartley, Transmission of information, Bell Systems & Technology Journal, 7(535-563) (1928).

[14] C.E. Shannon, A mathematical theory of communication, Bell Systems & Technology Journal, 27 (1948) 379-423 and 623-656.

[15] G.J. Klir, M.J. Wierman, Uncertainty-based information 2nd ed. series, Studies in Fuzziness and Soft Computing 15, Physica–Verlag, Heidelberg, Germany, 1999.

[16] M. Beynon, D. Cosker, D. Marshall, An expert system for multicriteria decision making using Dempster Shafer theory, Expert Systems with Applications, 20 (2001) 357-367.

[17] Z. Hua, B. Gong, X. Xu, A DS–AHP approach for multiattribute decision making problem with incomplete information, Expert Systems with Applications, 34 (2008) 2221-2227.

[18] J. Dezert, J.M. Tacnet, M. Batton-Hubert, F. Smarandache, Multi- criteria decision making based on DSmT-AHP, in:  Advances and Applications of DSmT for Information Fusion (collected works), American Research Press (ARP), 2015.

[19] N. Abbas, Y. Chibani, A. Martin, F. Smarandache, The effective use of the DSmT for multi-class classification in:  Advances and Applications of DSmT for Information Fusion (collected works), American Research Press (ARP), 2015, pp. 359.

[20] F. Smarandache, J. Dezert, Advances and applications of DSmT for information fusion, (collected works), vol. 4, American Research Press, 2015.

[21] R.R. Yager, Entropy and specificity in a mathematical theory of evidence, International Journal of General Systems, 9(4) (1983) 249-260.

[22] G.J. Klir, A. Ramer, Uncertainty in Dempster–Shafer theory: a critical re-examination, International Journal of General Systems, 18(2) (1990) 155-166.

[23] T. George, N.R. Pal, Quantification of conflict in Dempster–Shafer framework: a new approach, International Journal of General Systems, 24(4) (1996) 407-423.

[24] N.R. Pal, J.C. Bezdek, R. Hemasinha, Uncertainty measures for evidential reasoning I: a review, International Journal of Approximate Reasoning, 7(3/4) (1992) 165-183.

[25] N.R. Pal, J.C. Bezdek, R. Hemasinha, Uncertainty measures for evidential reasoning II: a new measure of total uncertainty, International Journal of Approximate Reasoning, 8(1) (1993) 1-16.

[26] A. Ramer, J. Hiller, Total uncertainty revisited, International Journal of General Systems, 26(3) (1997) 223-237.

[27] J.A. Herencia, M.T. Lamata, A generalization of entropy using Dempster–Shafer theory, International Journal of General Systems, 29(5) (2000) 719-735.

[28] Y. Maeda, H.T. Nguyen, H. Ichihashi, Maximum entropy algorithms for uncertainty measures, International Journal of Uncertainty, Fuzziness & Knowledge Based Systems, 1(1) (1993) 69-93.

[29] D. Harmanec, G.J. Klir, Measuring total uncertainty in Dempster–Shafer theory, International Journal of General Systems, 22(4) (1994) 405-419.

[30] D. Harmanec, Uncertainty in Dempster–Shafer theory, State University of New York, New York, NY, 1996.

[31] A.L. Jousselme, C. Liu, D. Grenier, E. Bosse, IEEE Transaction on Systems, Man and Cybernetics-Part A: Systems and Humans, 36(5) (2006) 890-903.

[32] G.J. Klir, H.W. Lewis, Remarks on measuring ambiguity in the evidence theory, IEEE Transaction on Systems, Man and Cybernetics-Part A: Systems and Humans, 38(4) (2008) 995-999.

[33] M. Vatsa, R. Singh, A. Noore, M.M. Houck, Quality-augmented fusion of level-2 and level-3 fingerprint information using DSm theory, International Journal of Approximate Reasoning, 50 (2008) 51-61.

[34] M. Vatsa, R. Singh, A. Noore, Unification of evidence-theoretic fusion algorithms; a case study in level-2 and level-3 fingerprint features, IEEE Transaction on Systems, Man and Cybernetics-Part A: Systems and Humans, 39(1) (2009) 47-56.

[35] G.J. Klir, Uncertainty and information, foundation of generalized information theory, John Wiley & Sons Inc., Hoboken, NJ, 2006.

[36] M. Khodabandeh, A. Mohammad-Shahri, Two generalizations of aggregated uncertainty measure for evaluation of Dezert-Smarandache theory, International Journal Information Technology & Decision Making (IJITDM), 11(1) (2012) 119-142.

[37] M. Khodabandeh, A. Mohammad-Shahri, Uncertainty evaluation for a Dezert-Smarandache theory based localization problem, International Journal of General Systems, 43(6) (2014) 610-632.

[38] M. Khodabandeh, A. Mohammad-Shahri, Uncertainty evaluation for an ultrasonic data fusion based target differentiation problem using Generalized Aggregated Uncertainty measure 2, Measurement, 59 (2015) 139-144.

[39] E. Garcia, Altamirano L., Multiple cameras fusion based on DSmT for tracking objects on ground plane, in: F. Smarandache, Dezert J. (Eds.) Advances and Applications of DSmT for Information Fusion (collected works), American Research Press (ARP), 2009, pp. 691-704.