Uncertainty measure in evidence theory with its applications
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Abellán J, Masegosa A (2008) Requirements for total uncertainty measures in Dempster–Shafer theory of evidence. Int J Gen Syst 37(6):733–747
Awasthi A, Chauhan SS (2011) Using AHP and Dempster-Shafer theory for evaluating sustainable transport solutions. Environ Modell Softw 26(6):787–796
Dempster A (1967) Upper and lower probabilities induced by a multivalued mapping. Ann Math Stat 38 (2):325–339
Deng X, Deng Y (2014) On the axiomatic requirement of range to measure uncertainty. Physica A 406:163–168
Deng X, Xiao F, Deng Y (2016) An improved distance-based total uncertainty measure in belief function theory. Appl Intell 46(4):898–915
Deng Y, Shi W, Zhu Z, Liu Q (2004) Combining belief functions based on distance of evidence. Decis Support Syst 38(3):489–493
Dubois D, Prade H (1985) A note on measures of specificity for fuzzy sets. Int J Gen Syst 10(4):279–283
Dubois D, Prade H (1999) Properties of measures of information in evidence and possibility theories. Fuzzy Sets Syst 100(1):35–49
Harmanec D, Klir GJ (1994) Measuring total uncertainty in Dempster-Shafer theory. Int J Gen Syst 22 (4):405–419
Höhle U (1982) Entropy with respect to plausibility measures. In: Proceedings of the 12th IEEE international symposium on multiple-valued logic, pp 167–169
Jiang W, Zhan J (2017) A modified combination rule in generalized evidence theory. Appl Intell 46 (3):630–640
Jousselme AL, Liu C, Grenier D, Bossé É (2006) Measuring ambiguity in the evidence theory. IEEE Trans Syst Man Cybern Syst Hum 36(5):890–903
Klir GJ (2001) Measuring uncertainty and uncertainty-based information for imprecise probabilities. In: International fuzzy systems association (IFSA) world congress and 20th North American fuzzy information processing society (NAFIPS) international conference. IEEE, pp 1927–1934
Klir GJ, Parviz B (1992) A note on the measure of discord. In: Proceedings of the Eighth international conference on Uncertainty in artificial intelligence. Morgan Kaufmann Publishers Inc., pp 138–141
Klir GJ, Ramer A (1990) Uncertainty in Dempster-Shafer theory: a critical re-examination. Int J Gen Syst 18(2):155–166
Klir GJ, Smith RM (1999) Recent developments in generalized information theory. Int J Fuzzy Syst 1 (1):1–13
Klir GJ, Wierman MJ (1999) Uncertainty-based information: elements of generalized information theory, vol 15. Springer Science & Business Media
Klir GJ, Yuan B (1995) Fuzzy sets and fuzzy logic: theory and applications. Prentice-Hall, Upper Saddle River
Klir G, Lewis HW (2008) Remarks on “measuring ambiguity in the evidence theory”. IEEE Trans Syst Man Cybern Syst Hum 38(4):995–999
Liu Z, Pan Q, Dezert J, Martin A (2016) Adaptive imputation of missing values for incomplete pattern classification. Pattern Recog 52:85–95
Liu Z, Pan Q, Dezert J, Mercier G (2011) Combination of sources of evidence with different discounting factors based on a new dissimilarity measure. Decis Support Syst 52:133–141
Liu Z, Pan Q, Dezert J, Mercier G (2014) Credal classification rule for uncertain data based on belief functions. Pattern Recog 47(7):2532–2541
Liu Z, Pan Q, Dezert J, Mercier G (2015) Credal c-means clustering method based on belief functions. Knowl-Based Syst 74:119–132
Maeda Y, Nguyen HT, Ichihashi H (1993) Maximum entropy algorithms for uncertainty measures. Int J Uncertainty Fuzzy and Know-Based Syst 1(1):69–93
Ramer A (1987) Uniqueness of information measure in the theory of evidence. Fuzzy Sets Syst 24(2):183–196
Shannon CE (2001) A mathematical theory of communication. ACM SIGMOBILE Mobile Comput Commun Rev 5(1):3–55
Smets P (2005) Decision making in the TBM: the necessity of the pignistic transformation. Int J Approx Reason 38(2):133–147
Wang YM, Yang JB, Xu DL, Chin KS (2006) The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees. Eur J Oper Res 175(1):35–66
Wang YM, Yang JB, Xu DL, Chin KS (2007) On the combination and normalization of interval-valued belief structures. Inf Sci 177:1230–1247
Yager RR (2001) Dempster-Shafer belief structures with interval valued focal weights. Int J Intell Syst 16:497–512
Yager RR, Alajlan N (2015) Dempster–Shafer belief structures for decision making under uncertainty. Knowl-Based Syst 80:58–66
Yager RR (1983) Entropy and specificity in a mathematical theory of evidence. Int J Gen Syst 9(4):249–260