A Vague Rough Set Approach for Failure Mode and Effect Analysis in Medical Accident

Main Article Content

B. Surender Reddy, S. Vijayabalaji, N. Thillaigovindan, P. Balaji

Abstract

Identifying the risk factor is a key to success for the Failure model. This paper presents a new FMEA (Failure Mode and Effect Analysis) in medical accident for the hospital management by using vague rough matrix information captured through vague rough set. Using β-product and β-complement product into fuzzy relation matrix and vague set to find the new lower and upper approximation of vague rough set. This method will provide an easy methodology to find the weight of risk factor. Using an example we validate our proposed approach.

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References

  1. M. Braglia, M. Frosolini, R. Montanari, Fuzzy Topsis Approach for Failure Mode, Effects and Criticality Analysis, Qual. Reliab. Eng. Int. 19 (2003), 425–443. https://doi.org/10.1002/qre.528.
  2. C. Chang, C. Wei, Y. Lee, Failure Mode and Effects Analysis Using Fuzzy Method and Grey Theory, Kybernetes. 28 (1999), 1072–1080. https://doi.org/10.1108/03684929910300295.
  3. K.H. Chang, A Novel General Risk Assessment Method Using the Soft TOPSIS Approach, J. Ind. Product. Eng. 32 (2015), 408–421. https://doi.org/10.1080/21681015.2015.1070375.
  4. I. Emovon, R.A. Norman, A. Murphy J., K. Pazouki, An Integrated Multicriteria Decision Making Methodology Using Compromise Solution Methods for Prioritising Risk of Marine Machinery Systems, Ocean Eng. 105 (2015), 92–103. https://doi.org/10.1016/j.oceaneng.2015.06.005.
  5. W.L. Gau, D.J. Buehrer, Vague Sets, IEEE Trans. Syst., Man, Cybern. 23 (1993), 610–614. https://doi.org/10.1109/21.229476.
  6. Y. Geum, Y. Cho, Y. Park, A Systematic Approach for Diagnosing Service Failure: Service-Specific FMEA and Grey Relational Analysis Approach, Math. Comput. Model. 54 (2011), 3126–3142. https://doi.org/10.1016/j.mcm.2011.07.042.
  7. H.C. Liu, Y.Z. Chen, J.X. You, H. Li, Risk Evaluation in Failure Mode and Effects Analysis Using Fuzzy Digraph and Matrix Approach, J. Intell. Manuf. 27 (2014), 805–816. https://doi.org/10.1007/s10845-014-0915-6.
  8. H.C. Liu, L. Liu, P. Li, Failure Mode and Effects Analysis Using Intuitionistic Fuzzy Hybrid Weighted Euclidean Distance Operator, Int. J. Syst. Sci. 45 (2013), 2012–2030. https://doi.org/10.1080/00207721.2012.760669.
  9. H.C. Liu, J.X. You, X.Y. You, Evaluating the Risk of Healthcare Failure Modes Using Interval 2-Tuple Hybrid Weighted Distance Measure, Comput. Ind. Eng. 78 (2014), 249–258. https://doi.org/10.1016/j.cie.2014.07.018.
  10. H.C. Liu, P. Li, J.X. You, Y.Z. Chen, A Novel Approach for FMEA: Combination of Interval 2-Tuple Linguistic Variables and Gray Relational Analysis, Qual. Reliab. Eng. Int. 31 (2014), 761–772. https://doi.org/10.1002/qre.1633.
  11. Z. Pawlak, Rough Sets, Int. J. Comput. Inf. Sci. 11 (1982), 341–356. https://doi.org/10.1007/bf01001956.
  12. Z. Pawlak, Rough Sets and Fuzzy Sets, Fuzzy Sets Syst. 17 (1985), 99–102. https://doi.org/10.1016/s0165-0114(85)80029-4.
  13. H. Safari, Z. Faraji, S. Majidian, Identifying and Evaluating Enterprise Architecture Risks Using FMEA and Fuzzy VIKOR, J. Intell. Manuf. 27 (2014), 475–486. https://doi.org/10.1007/s10845-014-0880-0.
  14. Y. Shen, F. Wang, Rough Approximations of Vague Sets in Fuzzy Approximation Space, Int. J. Approx. Reason. 52 (2011), 281–296. https://doi.org/10.1016/j.ijar.2010.08.013.
  15. W. Song, X. Ming, Z. Wu, B. Zhu, A Rough TOPSIS Approach for Failure Mode and Effects Analysis in Uncertain Environments, Qual. Reliab. Engng. Int. 30 (2013), 473–486. https://doi.org/10.1002/qre.1500.
  16. S. Vijayabalaji, P. Balaji, Rough Matrix Theory and Its Decision Making, Int. J. Pure Appl. Math. 87 (2013), 845–853. https://doi.org/10.12732/ijpam.v87i6.13.
  17. S. Vijayabalaji, P. Balaji, Construction of QRM using Dense Factor in Quadtree, Asian J. Res. Soc. Sci. Human. 6 (2016), 2573–2581. https://doi.org/10.5958/2249-7315.2016.00764.4.
  18. S. Vijayabalaji, P. Balaji, Best’11 Strategy in Cricket Using MCDM, Rough Matrix and Assignment Model, J. Intell. Fuzzy Syst. 39 (2020), 7431–7447. https://doi.org/10.3233/jifs-200784.
  19. J. Wang, S.Y. Liu, J. Zhang, Roughness of a Vague Set, Int. J. Comput. Cognition. 3 (2005), 83–87.
  20. X. Wang, Y. Zhang, G. Shen, An Improved FMECA for Feed System of CNC Machining Center Based on ICR and DEMATEL Method, Int. J. Adv. Manuf. Technol. 83 (2015), 43–54. https://doi.org/10.1007/s00170-015-7551-y.
  21. Z.L. Wang, J.X. You, H.C. Liu, S.M. Wu, Failure Mode and Effect Analysis Using Soft Set Theory and COPRAS Method, Int. J. Comput. Intell. Syst. 10 (2017), 1002. https://doi.org/10.2991/ijcis.2017.10.1.67.
  22. L.A. Zadeh, Fuzzy Sets, Inf. Control. 8 (1965), 338–353. https://doi.org/10.1016/s0019-9958(65)90241-x.