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A new association coefficient measure for the conflict management and its application in medical diagnosis

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Abstract

Conflicts in the evidence are addressed through various functions based on distance and similarity measure etc. Some complications and irrationality in existing distance measure is an open issue as how to address its conflicting degree. In this paper, we have introduced a new association coefficient measure primarily based on the modification of Jaccard’s similarity matrix with related properties and examples. In this paper, firstly the initial belief functions are constructed by using the fuzzy soft sets and information structure image matrix. Secondly, we used the proposed association coefficient measure to pre-process the initial belief function. Finally, Dempster’s combination rule is implemented to combine the modified belief function and rank the alternatives based on their final belief measure. The study is validated through various examples and a case study in medical diagnosis with the comparison of the existing two methods. The proposed association coefficient is efficient in representing the degree of association between the belief functions and modifying the belief function.

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References

  1. Chen J, Fang Y, Jiang T, Tian Y (2017) Conflicting information fusion based on an improved DS combination method. Symmetry 9(11):278. https://doi.org/10.3390/sym9110278

    Article  MATH  Google Scholar 

  2. Chen L, Diao L, Sang J (2018) Weighted evidence combination rule based on evidence distance and uncertainty measure: an application in fault diagnosis. Math Prob Eng. https://doi.org/10.1155/2018/58582722

    Article  Google Scholar 

  3. Chen L, Diao L, Sang J (2019) A novel weighted evidence combination rule based on improved entropy function with a diagnosis application. Int J Distrib Sens Netw. https://doi.org/10.1177/1550147718823990

    Article  Google Scholar 

  4. Cheng C, **ao F (2019) A new distance measure of belief function in evidence theory. IEEE Access 7:68607–68617. https://doi.org/10.1109/ACCESS.2019.2917630

    Article  Google Scholar 

  5. Dempster A (1967) Upper and lower probabilities induced by a multi-valued map**. Ann Math Stat 38(2):325–339. https://doi.org/10.1214/aoms/1177698950

    Article  MATH  Google Scholar 

  6. Deng Y, Shi W, Zhu Z, Liu Q (2004) Combining belief functions based on distance of evidence. Decis Supp Syst 38(3):489–493. https://doi.org/10.1016/j.dss.2004.04.015

    Article  Google Scholar 

  7. Deng Z, Wang J (2020) A novel evidence conflict measurement for multi-sensor data fusion based on the evidence distance and evidence angle. Sensors 20(2):381. https://doi.org/10.3390/s20020381

    Article  Google Scholar 

  8. Dong Y, Zhang J, Li Z, Hu Y, Deng Y (2019) Combination of evidential sensor reports with distance function and belief entropy in fault diagnosis. Int J Comput Commun Contr 14(3):329–343. http://univagora.ro/jour/index.php/ijccc/article/view/3589

  9. Dubois D, Prade H (1986) A set theoretic view on belief functions: logical operations and approximations by fuzzy sets. Int J Gen Syst 12(3):193–226. https://doi.org/10.1080/03081078608934937

    Article  MathSciNet  Google Scholar 

  10. Han D, Deng Y, Han C (2011) Weighted evidence combination based on distance of evidence and uncertainty measure. J Inf Milli Waves 30(5):396–468. https://doi.org/10.1155/2018/5858272

    Article  Google Scholar 

  11. Inagaki T (1991) Interdependence between safety control policy and multiple sensor schemes via Dempster–Shafer theory. IEEE Trans Reliab 40(2):182–188. https://doi.org/10.1109/24.87125

    Article  MATH  Google Scholar 

  12. Jiang W (2018) A correlation coefficient for belief functions. Int J Approx Reason 103:94–106. https://doi.org/10.1016/j.ijar.2018.09.001

    Article  MathSciNet  MATH  Google Scholar 

  13. Jiang W, Huang C, Deng X (2019) A new probability transformation method based on a correlation coefficient of belief functions. Int J Intell Syst 34:1337–1347. https://doi.org/10.1002/int.22098

    Article  Google Scholar 

  14. Jiang W, Wei B, **e C (2016) An evidential sensor fusion method in fault diagnosis. Adv Mech Eng 8(3):1–7. https://doi.org/10.1177/1687814016641820

    Article  Google Scholar 

  15. Jiang W, Zhuang M, Qin X, Tang Y (2016) Conflicting evidence combination based on uncertainty measure and distance of evidence. Springerplus 5:1217. https://doi.org/10.1186/s40064-016-2863-4

    Article  Google Scholar 

  16. Jones R, Lowe A, Harrison M (2002) A framework for intelligent medical diagnosis using the theory of evidence. Know Based Syst 15(1–2):77–84. https://doi.org/10.1016/S0950-7051(01)00123-X

    Article  Google Scholar 

  17. Jousselme A, Grenier D, Bosse E (2001) A new distance between two bodies of evidence. Inf Fusion 2(2):91–101. https://doi.org/10.1016/S1566-2535(01)00026-4

    Article  Google Scholar 

  18. Jousselme A, Maupin P (2012) Distances in evidence theory: comprehensive survey and generalizations. Int J Approx Reason 53(2):118–145. https://doi.org/10.1016/j.ijar.2011.07.006

    Article  MathSciNet  MATH  Google Scholar 

  19. Khalaj F, Khalaj M (2020) Developed cosine similarity measure on belief function theory: an application in medical diagnosis. Commun Stat Theory Methods. https://doi.org/10.1080/03610926.2020.1782935

    Article  MathSciNet  MATH  Google Scholar 

  20. Khalaj M, Khalaj F (2021) An improvement decision-making method by similarity and belief function theory. Commun Stat Theory Methods. https://doi.org/10.1080/03610926.2021.1949472

    Article  MATH  Google Scholar 

  21. Li J, **e B, ** Y, Hu Z, Zhou L (2020) Weighted conflict evidence combination method based on Hellinger distance and the belief entropy. IEEE Access 8:225507–225521. https://doi.org/10.1109/ACCESS.2020.3044605

    Article  Google Scholar 

  22. Li Z, Wen G, **e N (2015) An approach to fuzzy soft sets in decision making based on grey relational analysis and Dempster–Shafer theory of evidence: an application in medical diagnosis. Artif Intell Med 64:161–171. https://doi.org/10.1016/j.artmed.2015.05.002

    Article  Google Scholar 

  23. Maji P, Biswas R, Roy A (2001) Fuzzy soft set. J Fuzzy Math 9(3):589–602

    MathSciNet  MATH  Google Scholar 

  24. Maseleno A, Hasan M (2011) Avian influenza (H5N1) expert system using Dempster– Shafer theory. Int J Inf Commun Technol 4:227–324

    Google Scholar 

  25. Maseleno A, Hasan M (2012) Skin diseases expert system using Dempster–Shafer theory. Int J Intell Syst Appl 4(5):38–44. https://doi.org/10.5815/ijisa.2012.05.06

    Article  Google Scholar 

  26. Maseleno A, Hasan M (2013) The Dempster–Shafer theory algorithm and its application to insect diseases detection. Int J Adv Sci Technol 50:111–120

    Google Scholar 

  27. Molodtsov D (1999) Soft set theory—first results. Comput Math Appl 37(4–5):19–31. https://doi.org/10.1016/S0898-1221(99)00056-5

    Article  MathSciNet  MATH  Google Scholar 

  28. Murphy C (2000) Combining belief functions when evidence conflicts. Decis Support Syst 29(1):1–9. https://doi.org/10.1016/S0167-9236(99)00084-6

    Article  MathSciNet  Google Scholar 

  29. Pan L, Deng Y (2019) An association coefficient of a belief function and its application in a target recognition system. Int J Intell Syst 35:85–104. https://doi.org/10.1002/int.22200

    Article  Google Scholar 

  30. Shafer G (1976) A mathematical theory of evidence. Princeton University Press, Princeton

    Book  MATH  Google Scholar 

  31. Smets P (2000) Data fusion in the transferable belief model. In: Proceedings of the third international conference on information fusion, vol 1, pp PS21–PS33. https://doi.org/10.1109/IFIC.2000.862713

  32. Sun L, Chang Y, Pu J, Yu H, Yang Z (2020) A weighted evidence combination method based on the pignistic probability distance and Deng entropy. J Aerosp Tecnol Manag 12:e3320. https://doi.org/10.5028/jatm.v12.1173

    Article  Google Scholar 

  33. Wang J, Hu Y, **ao F (2016) A novel method to use fuzzy soft sets in decision making based on ambiguity measure and Dempster–Shafer theory of evidence: an application in medical diagnosis. Artif Intell Med 69:1–11. https://doi.org/10.1016/j.artmed.2016.04.004

    Article  Google Scholar 

  34. Wang J, Kuoyuan Q, Zhang Z, **ang F (2017) A new conflict management method in Dempster–Shafer theory. Int J Distrib Sens. https://doi.org/10.1177/1550147717696506

    Article  Google Scholar 

  35. Wang J, **ao F, Deng X (2016) Weighted evidence combination based on distance of evidence and entropy function. Int J Distrib Sens Netw 12(7):3218784. https://doi.org/10.1177/1550147717696506

    Article  Google Scholar 

  36. Wang P, Wang X (2008) Diagnosis method for cardiac patient based on improved Dempster–Shafer evidence theory. In: 2nd international conference on bioinformatics and biomedical engineering, pp 1935–1938

  37. **ao F (2018) A hybrid fuzzy soft sets decision making method in medical diagnosis. IEEE Access 6:25300–25312. https://doi.org/10.1109/ACCESS.2018.2820099

    Article  Google Scholar 

  38. **ao F (2018) An improved method for combining conflicting evidences based on the similarity measure and belief function entropy. Int J Fuzzy Syst 20:1256–1266. https://doi.org/10.1007/s40815-017-0436-5

    Article  MathSciNet  Google Scholar 

  39. **ao F, Qin B (2018) A weighted combination method for conflicting evidence in multi-sensor data fusion. Sensors 18(5):1487. https://doi.org/10.3390/s18051487

    Article  Google Scholar 

  40. Yager R (1987) On the Dempster–Shafer framework and new combination rules. Inf Sci 41(2):93–137. https://doi.org/10.1016/0020-0255(87)90007-7

    Article  MathSciNet  MATH  Google Scholar 

  41. Zadeh L (1986) A simple view of the Dempster Shafer theory of evidence and its implication for rule of combination. AI Mag 7(2):85–90. https://doi.org/10.1142/9789814261302_0033

    Article  Google Scholar 

  42. Zhang L (1994) Representation, independence, and combination of evidence in the Dempster–Shafer theory. Advances in the Dempster–Shafer theory of evidence. Wiley, New York, pp 51–69

    Google Scholar 

  43. Zhou Q, Mo H, Deng Y (2020) A new divergence measure of Pythagorean fuzzy sets based on belief function and its application in medical diagnosis. Mathematics 8(1):142. https://doi.org/10.3390/math8010142

    Article  Google Scholar 

  44. Zhu C, **ao F (2021) A belief Hellinger distance for D–S evidence theory and its application in pattern recognition. Eng Appl Artif Intell. https://doi.org/10.1016/j.engappai.2021.104452

    Article  Google Scholar 

  45. Zhu J, Wang X, Song Y (2018) A new distance between BPAs based on the power-set-distribution pignistic probability function. Appl Intell 48:1506–1518. https://doi.org/10.1007/s10489-017-1018-9

    Article  Google Scholar 

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Correspondence to Palash Dutta.

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Dutta, P., Limboo, B. A new association coefficient measure for the conflict management and its application in medical diagnosis. Int. j. inf. tecnol. 14, 3767–3779 (2022). https://doi.org/10.1007/s41870-022-01000-0

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