Abstract
Due to the limitation of assessors’ knowledge and the uncertainty of risks, risk assessment data reasonably are given in the form of linguistic terms, safety risk assessment in petrochemical industry is often a multi-criterion and multi-expert information fusion based on linguistic terms(MCMEIF-LT) problem. A novel model dealing with the MCMEIF-LT problem is presented in this paper. Firstly, the individual linguistic assessment distributions are fused to collective distributions and multiple criteria are fused to a comprehensive criterion. In the fusion process, the objective weights of assessment experts are calculated with using the credibilities of assessment data and the attitudes of decision makers are considered. Secondly, a Fuzzy Number Weighted Ordered Weighted Aggregation(FN-WOWA) operator which can transform a fuzzy number into a crisp value is proposed. In the FN-WOWA operator, the utility function can incorporate the assessors’ loss-based risk attitudes and the membership function can reflect the importance of the values in the integrated fuzzy number. Based on crisp values, a risk matrix is constructed. Finally, a real application is demonstrated to show the flexibility and practicality of the MCMEIF-LT model.
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References
Markowski AS, Mannan MS (2008) Fuzzy risk matrix. J Hazard Mater 159(1):152–157
Ni HH, Chen A, Chen N (2010) Some extensions on risk matrix approach. Saf Sci 48(10):1269–1278
Abrilaba D (2012) Improving record linkage with supervised learning for disclosure risk assessment. Information Fusion 13(4):274–284
Ruan X, Yin ZY, Dan MF (2015) Risk matrix integrating risk attitudes based on utility theory. Risk Analysis 35(8):1437– 1447
Tian DH, Yang BW, et al. (2018) A multi-experts and multi-criteria risk assessment model for safety risks in oil and gas industry integrating risk attitudes. Knowl.-Based Syst 156:62–73
Tian DH, Zhao CL, et al. (2019) A MEMCIF-IN method for safety risk assessment in oil and gas industry based on interval numbers and risk attitudes. Eng Appl Artif Intel 85:269–283
Pérez-Fernández R, Alonso P, Díaz I, Montes S (2014) Multi-factorial risk assessment: An approach based on fuzzy preference relations. Fuzzy Sets & Systems 278:67–80
Wang Y, Tao ZW, et al. (2020) Dynamic analysis of oil-water two-phase flow for a multiple-fractured horizontal well with multiple finite-conductivity fractures in triple media carbonate reservoir Zeitschrift für Angewandte Mathematik und Mechanik. https://doi.org/10.1002/zamm.201900046
Wang Y, Tao ZW, et al. (2020) Some novel results of T-periodic solutions for Rayleigh type equation with double deviating arguments. University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics 82(1):55– 68
Hsu WKK, Huang SHS, Tseng WJ (2016) Evaluating the risk of operational safety for dangerous goods in airfreights-a revised risk matrix based on fuzzy ahp. Transp Res Part D: Transp Environ 48:235–247
(2009) I. ISO, Risk management-Principles and guidelines, International Organization for Standardization, Geneva, Switzerland
Xu ZS, Cai XQ (2012) Minimizing group discordance optimization model for deriving expert weights. Group Decis Negot 21:863–875
Cheng D, Zhou ZL, et al. (2018) Deriving heterogeneous experts weights from incomplete linguistic preference relations based on uninorm consistency. Knowl-Based Syst 150:150–165
Abootalebi S, Hadi-Vencheh A, Jamshidi A (2018) An improvement to determining expert weights in group multiple attribute decision making problem. Group Decis Negot 27:215–221
Koksalmis E, Kabak ö (2019) Deriving decision makers’ weights in group decision making: An overview of objective methods. Information Fusion 49:146–160
Liu BS, Shen YH, Chen Y, Chen XH, Wang YM (2015) A two-layer weight determination method for complex multi-attribute large-group decision-making experts in a linguistic environment. Information Fusion 23 (C):156–165
Brito AJ, Almeida ATD, Mota CMM (2010) A multi-criteria model for risk sorting of natural gas pipelines based on ELECTRE TRI integrating Utility Theory. Eur J Oper Res 200:812–821
Bao C, Wu D, Li J (2018) A knowledge-based risk measure from the fuzzy multicriteria decision-making perspective. IEEE Trans Fuzzy Syst 27:1126–1138
Zhao XF, Lin R, Wei GW (2013) Fuzzy prioritized operators and their application to multiple attribute group decision making. Applied Mathematical Medelling 37:4759–4770
Tian DH, et al. (2020) Fuzzy risk assessment based on interval numbers and assessment distributions. International Journal of Fuzzy Systems. https://doi.org/10.1007/s40815-020-00837-6,
Herrera F, MartÍnez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8:746–752
Wang JH, Hao JY (2006) A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 14:435–445
Rodríguez RM, Martínez L, Herrera F (2012) Hesitant fuzzy linguistic term sets for decision making. IEEE Trans Fuzzy Syst 20:109–119
Zhang G, Dong Y, Xu Y (2014) Consistency and consensus measures for linguistic preference relations based on distribution assessments. Information Fusion 17:46–55
Yager RR (1996) Quantifier guided aggregation using OWA operators. International Journal of Intelligent Systems 11(1):49–73
O’Hagan M (1988) Aggregating template or rule antecedents in real-time expert systems with fuzzy set logic. Asilomar Conference on IEEE Xplore 2:681–689
Xu ZS (2005) An overview of methods for determining owa weights. International Journal of Intelligent Systems 20(8):843–865
Wei SH, Chen SM (2009) Fuzzy risk analysis based on interval-valued fuzzy numbers. Expert Syst Appl 36(2-part-P1):2285–2299
Chen SM, Hong JA (2014) Multicriteria linguistic decision making based on hesitant fuzzy linguistic term sets and the aggregation of fuzzy sets. Inform Sci 286:63–74
Chen SJ, Chen SM (2007) Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers. Appl Intell 26(1):1–11
Hesamian G (2017) Measuring similarity and ordering based on interval type-2 fuzzy numbers. IEEE Trans Fuzzy Syst 25(4):788–798
Zadeh LA (1965) Fuzzy sets. Information & Control 8:338–353
Chen SH (1999) Ranking generalized fuzzy number with graded mean integration representation. In: Proceedings of the eighth international conference of fuzzy sets and systems association world congress, vol 2, pp 551–555
Yager RR (1981) A procedure for ordering fuzzy subsets of the unit interval. Inform Sci 24:143–161
Yatsalo B, Martinez L (2018) Fuzzy rank acceptability analysis: a confidence measure of ranking fuzzy numbers. IEEE Trans Fuzzy Syst 26:3579–3593
Brunelli M, Mezei J (2013) How different are ranking methods for fuzzy numbers? A numerical study. Int J Approx Reason 54:627–639
Deng HP (2014) Comparing and ranking fuzzy numbers using ideal solutions. Appl Math Model 38:1638–1646
Cheng CH (1998) A new approach for ranking fuzzy numbers by distance method. Fuzzy Set Syst 95:307–317
Chen SM (1996) New methods for subjective mental workload assessment and fuzzy risk analysis. Cybern Syst 27:449– 472
Almeida AT (2005) Multicriteria modelling of repair contract based on utility and electre i method with dependability and service quality criteria. Ann Oper Res 138:113–126
Dong YC, Zhang HJ, Zhang GQ (2015) Multi-granular unbalanced linguistic distribution assessments with interval symbolic proportions. Knowl.-Based Syst 82:139–151
Zhang BW, Liang HM, Zhang GQ (2018) The optimization-based aggregation and consensus with minimum-cost in group decision making under incomplete linguistic distribution context. Knowl.-Based Syst 162:92–102
Yager RR, Xu Z (2006) The continuous ordered weighted geometric operator and its application to decision making. Fuzzy Sets & Systems 157(10):1393–1402
Yager RR (2004) OWA aggregation over a continuous interval argument with applications to decision making. IEEE Transactions on Systems Man & Cybernetics Part B Cybernetics A Publication of the IEEE Systems Man & Cybernetics Society 34(5):1952–63
Donati F, Canuto E, Carlucci D, Villa A (1983) The c. s. s. approach to attitude reconstitution and raw data treatment. Nat Neurosci 5:1226–1235
Köbberling V, Wakker PP (2005) An index of loss aversion. J Econ Theory 122:119–131
Rólczyński T., Forlicz M, Łukasz K (2017) Risk attitude in case of losses or gains-an experimental study. European Journal of Finance 23:1–13
Chen SJ, Chen SM (2003) Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers. IEEE Trans Fuzzy Syst 11(1):45–56
Rouhparvar H, Panahi A (2015) A new definition for defuzzification of generalized fuzzy numbers and its application. Appl Soft Comput 30:577–584
Acknowledgments
This research is jointly supported by the Youth Science and Technology Innovation Team of Southwest Petroleum University for Nonlinear Systems (No. 2017CXTD02), the Program of Science and Technology of Sichuan Province of China(No. 20QYCX0025)and the Science and Technology Innovation Team of Education Department of Sichuan for Dynamical System and its Applications (No. 18TD0013). The numerical calculations in this paper have been done on the super-computing system in the Super-computing Center for science and engineering of Southwest Petroleum University.
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Tian, D., Min, C., Li, L. et al. A MCMEIF-LT model for risk assessment based on linguistic terms and risk attitudes. Appl Intell 50, 3318–3335 (2020). https://doi.org/10.1007/s10489-020-01737-w
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DOI: https://doi.org/10.1007/s10489-020-01737-w