References for Dempster-Shafer theory



References for Dempster-Shafer Theory


References by Glenn Shafer

Shafer, Glenn. A Mathematical Theory of Evidence. Vol. 42. Princeton University Press, 1976.

The initial essay cited by 233,309


Shafer, G. (1990). “Perspectives on the Theory and Practice of Belief Functions.” International Journal of Approximate Reasoning 4, no. 5–6 (September 1, 1990): 323–62.


Shafer, G. (1992). “Response to the Discussion of Belief Functions,” written for International Journal of Approximate Reasoning, 1992


Shafer, G. (2016). Dempster's rule of combination. International Journal of Approximate Reasoning, 79, 26-40.


Shafer, G. “A Mathematical Theory of Evidence Turns 40.” International Journal of Approximate Reasoning 79 (December 2016): 7–25.


Initial Source of Identifying Problem with Conflicting Evidence

Zadeh, Lotfi A. "Review of a mathematical theory of evidence." AI Magazine 5, no. 3 (1984): 81-81.


A Couple of Useful Additional References


Bauer, Mathias. "Approximation algorithms and decision making in the Dempster-Shafer theory of evidence—An empirical study." International Journal of Approximate Reasoning 17, no. 2-3 (1997): 217-237.


Sentz, Kari, and Scott Ferson. “Combination of Evidence in Dempster-Shafer Theory,” April 1, 2002. Sandia Report SAND2002-0835 Sandia National Laboratories Albuquerque, New Mexico 87185 and Livermore, California 94550


References Used for This Presentation


Adaptive Engagement for Undergoverned Spaces: Concepts, Challenges, and Prospects for New Approaches. RAND Corporation, 2022. https://doi.org/10.7249/RRA1275-1.


AK16. “Mass Calculation in Dempster–Shafer Theory.” Forum post. Mathematics Stack Exchange, July 19, 2017. https://math.stackexchange.com/q/2364147.


“An Efficient Computation of Dempster-Shafer Theory of Evidence Based on Native GPU Implementation 💻.” Accessed July 17, 2023. https://www.noeliarico.dev/slides/belief/slides.html#3.


Application of Dempster-Shafer Theory to Estimate Uncertainty […] (James Rathman), 2019. https://www.youtube.com/watch?v=DzQ202Mak8I.


Bauer, Mathias. “Approximation Algorithms and Decision Making in the Dempster-Shafer Theory of Evidence — An Empirical Study.” International Journal of Approximate Reasoning 17, no. 2–3 (August 1997): 217–37. https://doi.org/10.1016/S0888-613X(97)00013-3.


Baumeister, Roy F. “Pragmatic Prospection, the Matrix of Maybe, Uncertainty, and Human Agency.” Possibility Studies & Society, June 8, 2023, 27538699231178180. https://doi.org/10.1177/27538699231178180.


“Belief Modeling with Arcview GIS.” Accessed July 9, 2023. https://proceedings.esri.com/library/userconf/proc99/proceed/papers/pap295/p295.htm.


Broek, A. C. van den, J. van der Velde, R. M. E. M. van den Baar, L. Nijsten, and R. van Heijster. “Automatic Threat Evaluation for Border Security and Surveillance.” Proceedings of SPIE - The International Society for Optical Engineering, Counterterrorism, Crime Fighting, Forensics, and Surveillance Technologies III 2019, 9 September 2019 through 11 September 2019, 2019. https://doi.org/10.1117/12.2532308.


“Certainty Factor - an Overview | ScienceDirect Topics.” Accessed July 17, 2023. https://www.sciencedirect.com/topics/computer-science/certainty-factor.


Cleckner, William H IV. “Tactical Evidential Reasoning: An Application of the Dempster-Shafer Theory Evidence.” Thesis, Naval Post Graduate School, 1985. https://apps.dtic.mil/sti/tr/pdf/ADA162178.pdf.


Dempster Shafer Theory || Uncertainty || Reasoning and Uncertainty || Artificial Intelligence, 2023. https://www.youtube.com/watch?v=tUi8rw6RCRg.


“Dempster-Shafer Theory - an Overview | ScienceDirect Topics.” Accessed October 21, 2023. https://www.sciencedirect.com/topics/computer-science/dempster-shafer-theory.


“Dempster-Shafer Theory for Classification Using Python.” Accessed July 9, 2023. http://bennycheung.github.io/dempster-shafer-theory-for-classification.


“Difference Between Entropy and Information Gain.” Accessed July 19, 2023. https://www.tutorialspoint.com/difference-between-entropy-and-information-gain.


Ferson, Scott, Vladik Kreinovick, Lev Ginzburg, and Fari Sentz. “Constructing Probability Boxes and Dempster-Shafer Structures,” January 1, 2003. https://doi.org/10.2172/809606.


GeeksforGeeks. “ML | Dempster Shafer Theory,” June 7, 2019. https://www.geeksforgeeks.org/ml-dempster-shafer-theory/.


Gesmann, Markus. “Predicting Events, When They Haven’t Happened Yet.” mages’ blog, May 5, 2015. https://www.magesblog.com/post/2015-05-05-predicting-events-when-they-havent/.


GitHub. “Generalizing Algorithm to Work with Words/Strings Instead of Letters,… · Moldoteck/Dempster-Shafer@05976ba.” Accessed July 17, 2023. https://github.com/Moldoteck/Dempster-Shafer/commit/05976baf5cc152f4e8ef3a12b779dce7a1933068


Gordon, Jean, and Edward H. Shortliffe. "The Dempster-Shafer theory of evidence." Rule-Based Expert Systems: The MYCIN Experiments of the Stanford Heuristic Programming Project 3, no. 832-838 (1984): 3-4.


Groce, Andrea. “LibGuides: Intelligence Studies: Types of Intelligence Collection.” Accessed August 6, 2023. https://usnwc.libguides.com/c.php?g=494120&p=3381426.


Headquarters, Department of the Army. “Intelligence Analysis, ATP 2-33.4,” January 10, 2020. https://armypubs.army.mil/epubs/DR_pubs/DR_a/pdf/web/ARN20669_ATP%202-33x4%20FINAL%20WEB_v2_fix.pdf.


“How to Model Uncertainty with Dempster-Shafer’s Theory?” Accessed July 17, 2023. https://analyticsindiamag.com/how-to-model-uncertainty-with-dempster-shafers-theory/.


Kaltsounidis, Alexandros, and Isambo Karali. “Dempster-Shafer Theory: Ηow Constraint Programming Can Help.” Information Processing and Management of Uncertainty in Knowledge-Based Systems 1238 (May 15, 2020): 354–67. https://doi.org/10.1007/978-3-030-50143-3_27.


Kristen Ann Dotterway. “Systematic Analysis of Complex Dynamic Systems: The Case of the USS Vincennes.” Master’s thesis. Monterey, CA: Naval Post Graduate School, June 1992. https://calhoun.nps.edu/handle/10945/30594.


Ma, Wenjun, Yuncheng Jiang, and Xudong Luo. “A Flexible Rule for Evidential Combination in Dempster–Shafer Theory of Evidence.” Applied Soft Computing 85 (December 1, 2019): 105512. https://doi.org/10.1016/j.asoc.2019.105512.


Mahalanabis, A., R. N. Lobbia, C. R. Willman, and Boeing Military Aircraft and Missile Systems Group, Seattle, WA. "A Comparative Analysis of Evidential Reasoning and Cumulative Scoring Algorithms in the Context of a Combat Identification Application." In Proc. MSS National Symposium on Sensor & Data Fusion, vol. 2, pp. 117-134. 2000.


Pernin, Christopher G. “The Knowledge Matrix Approach to Intelligence Fusion,” Rand 2007 PYDS-01-00


Getting Started with Python Programming for Data Science - Course Introduction, 2022. https://www.youtube.com/watch?v=SUN8JAugIyA.


Reineking, Thomas. “Reineking/Pyds.” Python, July 10, 2023. https://github.com/reineking/pyds.


Rico, Noelia. “Dempster Shafer Theory.” Python, June 20, 2023. https://github.com/noeliarico/dempster_shafer.


Rose-Pehrsson, Susan L., Kevin Johnson, Christian Minor, and Verner Guthrie. “Intelligent Data Fusion for Wide-Area Assessment of UXO Contamination. SERDP Project MM-1510. 2006 Annual Report:” Fort Belvoir, VA: Defense Technical Information Center, April 20, 2007. https://doi.org/10.21236/ADA467324.


Ruben. “Answer to ‘Mass Calculation in Dempster–Shafer Theory.’” Mathematics Stack Exchange, July 23, 2019. https://math.stackexchange.com/a/3301527.


Sentz, Kari, and Scott Ferson. “Combination of Evidence in Dempster-Shafer Theory,” April 1, 2002. https://doi.org/10.2172/800792.


Shafer, Glenn. A Mathematical Theory of Evidence. Princeton University Press, 1976.


———. “A Mathematical Theory of Evidence Turns 40.” International Journal of Approximate Reasoning 79 (December 2016): 7–25. https://doi.org/10.1016/j.ijar.2016.07.009.


———. “Dempster’s Rule of Combination.” International Journal of Approximate Reasoning, 40 years of Research on Dempster-Shafer Theory, 79 (December 1, 2016): 26–40. https://doi.org/10.1016/j.ijar.2015.12.009.


———. “Perspectives on the Theory and Practice of Belief Functions.” International Journal of Approximate Reasoning 4, no. 5–6 (September 1, 1990): 323–62. https://doi.org/10.1016/0888-613X(90)90012-Q.


———. “Response to the Discussion of Belief Functions,” written for International Journal of Approximate Reasoning, 1992


Tang, Yongchuan, Xu Zhang, Ying Zhou, Yubo Huang, and Deyun Zhou. “A New Correlation Belief Function in Dempster-Shafer Evidence Theory and Its Application in Classification.” Scientific Reports 13, no. 1 (May 10, 2023): 7609. https://doi.org/10.1038/s41598-023-34577-y. T


ang, Yongchuan, Yonghao Zhou, Xiangxuan Ren, Yufei Sun, Yubo Huang, and Deyun Zhou. “A New Basic Probability Assignment Generation and Combination Method for Conflict Data Fusion in the Evidence Theory.” Scientific Reports 13, no. 1 (May 25, 2023): 8443. https://doi.org/10.1038/s41598-023-35195-4.


“TARGET DEVELOPMENT.” Accessed July 17, 2023. https://irp.fas.org/doddir/army/ioac/sho4599.htm. “Vision Apps User Guide: Dempster-Shafer Enabled Surround Radar Occupancy Grid Map Application.” Accessed July 17, 2023. https://software-dl.ti.com/jacinto7/esd/processor-sdk-rtos-jacinto7/06_02_00_21/exports/docs/vision_apps/docs/user_guide/group_apps_radar_ogmap_ds.html.


Wang, Haibin, Xin Guan, Xiao Yi, Ying Liu, and Guidong Sun. “A Fusion Recognition Method Based on Temporal Evidence Reasoning.” Mathematical Problems in Engineering 2023 (February 15, 2023): e5873034. https://doi.org/10.1155/2023/5873034.


———. “A Fusion Recognition Method Based on Temporal Evidence Reasoning.” Mathematical Problems in Engineering 2023 (February 15, 2023): e5873034. https://doi.org/10.1155/2023/5873034.


Wang, Pei. “A Defect in Dempster-Shafer Theory.” In Uncertainty Proceedings 1994, 560–66. Elsevier, 1994. https://doi.org/10.1016/B978-1-55860-332-5.50076-6.


Zadeh, Lotfi A. “A Simple View of the Dempster-Shafer Theory of Evidence and Its Implication for the Rule of Combination.” AI Magazine 7, no. 2 (June 15, 1986): 85–85. https://doi.org/10.1609/aimag.v7i2.542.


Zadeh, Lotfi A. “A Simple View of the Dempster-Shafer Theory of Evidence and Its Implication for the Rule of Combination.” In Advances in Fuzzy Systems — Applications and Theory, by Lotfi A Zadeh, George J Klir, and Bo Yuan, 674–79. WORLD SCIENTIFIC, 1996. https://doi.org/10.1142/9789814261302_0033.


Zhao, Kaiyi, Li Li, Zeqiu Chen, Ruizhi Sun, Gang Yuan, and Jiayao Li. “A Survey: Optimization and Applications of Evidence Fusion Algorithm Based on Dempster–Shafer Theory.” Applied Soft Computing 124 (July 1, 2022): 109075. https://doi.org/10.1016/j.asoc.2022.109075.


Zhou, Ying, Yongchuan Tang, and Xiaozhe Zhao. “Situation Assessment in Air Combat Considering Incomplete Frame of Discernment in the Generalized Evidence Theory.” Scientific Reports 12, no. 1 (December 31, 2022): 22639. https://doi.org/10.1038/s41598-022-27076-z.