Hesitant Fuzzy Thermodynamic Method for Emergency Decision Making Based on Prospect Theory

IEEE Transactions on Cybernetics

Volumn 47, Issue 9, 2017, Pages 2531-2543

  Ren, Peijia ^a   Xu, Zeshui ^a   Hao, Zhinan ^b  

^a Sichuan University   (China)

^b NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Emergency decision making; hesitant fuzzy set (HFS); multicriteria decision making (MCDM); prospect theory; thermodynamics

Indexed keywords

BEHAVIORAL RESEARCH; DECISION THEORY; EXPONENTIAL FUNCTIONS; PORTS AND HARBORS; THERMODYNAMICS;

DECISION MAKING PARAMETERS; DECISION MATRICES; EMERGENCY DECISION MAKINGS; EMERGENCY RESPONSE; EMERGENCY SITUATION; NEGATIVE EXPONENTIAL FUNCTIONS; THERMODYNAMIC METHODS; TIANJIN BINHAI NEW AREAS;

DECISION MAKING;

ARTICLE; DECISION MAKING; ENTROPY; EXPECTATION; HUMAN;

EID: 85008512271     PISSN: 21682267     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCYB.2016.2638498     Document Type: Article

References (76)

1. S.-M. Chen, J.-A. Hong, "Multicriteria linguistic decision making based on hesitant fuzzy linguistic term sets, the aggregation of fuzzy sets, " Inf. Sci., vol. 286, pp. 63-74, Dec. 2014.
2. L.-W. Lee, S.-M. Chen, "Fuzzy decision making based on likelihoodbased comparison relations of hesitant fuzzy linguistic term sets, hesitant fuzzy linguistic operators, " Inf. Sci., vol. 294, pp. 513-529, Feb. 2015.
3. L.-W. Lee, S.-M. Chen, "Fuzzy decision making, fuzzy group decision making based on likelihood-based comparison relations of hesitant fuzzy linguistic term sets, " J. Intell. Fuzzy Syst., vol. 29, no. 3, pp. 1119-1137, 2015.
4. I. D. Leeneer, H. Pastijn, "Selecting land mine detection strategies by means of outranking MCDM techniques, " Eur. J. Oper. Res., vol. 139, no. 2, pp. 327-338, 2002.
5. K.-P. Lin, K.-C. Hung, "An efficient fuzzy weighted average algorithm for the military UAV selecting under group decision-making, " Knowl. Based Syst., vol. 24, no. 6, pp. 877-889, 2011.
6. J. M. Sánchez-Lozano, J. Serna, A. Dolón-Payán, "Evaluating military training aircrafts through the combination of multi-criteria decision making processes with fuzzy logic. A case study in the Spanish Air Force Academy, " Aerosp. Sci. Technol., vol. 42, pp. 58-65, Apr./May 2015.
7. H.-K. Chiou, G.-H. Tzeng, D.-C. Cheng, "Evaluating sustainable fishing development strategies using fuzzy MCDM approach, " Omega, vol. 33, no. 3, pp. 223-234, 2005.
8. N. K. Kwak, C. W. Lee, J. H. Kim, "An MCDM model for media selection in the dual consumer/industrial market, " Eur. J. Oper. Res., vol. 166, no. 1, pp. 255-265, 2005.
9. E. Mulliner, N. Malys, V. Maliene, "Comparative analysis of MCDM methods for the assessment of sustainable housing affordability, " Omega, vol. 59, pp. 146-156, Mar. 2016.
10. R. Z. Farahani, N. Asgari, "Combination of MCDM, covering techniques in a hierarchical model for facility location: A case study, " Eur. J. Oper. Res., vol. 176, no. 3, pp. 1839-1858, 2007.
11. G. Kou, Y. Peng, G. X. Wang, "Evaluation of clustering algorithms for financial risk analysis using MCDM methods, " Inf. Sci., vol. 275, pp. 1-12, Aug. 2014.
12. A. Rabbani, M. Zamani, A. Yazdani-Chamzini, E. K. Zavadskas, "Proposing a new integrated model based on sustainability balanced scorecard (SBSC), MCDM approaches by using linguistic variables for the performance evaluation of oil producing companies, " Expert Syst. Appl., vol. 41, no. 16, pp. 7316-7327, 2014.
13. R. J. Sabbaghian, et al., "Application of risk-based multiple criteria decision analysis for selection of the best agricultural scenario for effective watershed management, " J. Environ. Manag., vol. 168, pp. 260-272, Mar. 2016.
14. B. Roy, "The problems, methods with multiple objective functions, " Math. Program., vol. 1, pp. 239, 1971.
15. C.-L. Hwang, K. S. Yoon, Multiple Attribute Decision Making: Methods, Applications a State-of-the-Art Survey. Berlin, Germany: Springer, 1981.
16. D. Kahneman, A. Tversky, "Prospect theory: An analysis of decision under risk, " Econometrica, vol. 47, no. 2, pp. 263-292, 1979.
17. L. Gomes, M. Lima, "TODIM: Basics, application to multi-criteria ranking of projects with environmental impacts, " Found. Comput. Decis. Sci., vol. 16, no. 4, pp. 113-127, 1991.
18. J.-Q. Wang, T. Sun, "Fuzzy multiple criteria decision making method based on prospect theory, " in Proc. Int. Conf. Inf. Manag. Innov. Manag. Ind. Eng., Taipei, Taiwan, 2008, pp. 288-291.
19. P. D. Liu, F. Jin, X. Zhang, Y. Su, M. H. Wang, "Research on the multi-attribute decision-making under risk with interval probability based on prospect theory, the uncertain linguistic variables, " Knowl. Based Syst., vol. 24, no. 4, pp. 554-561, 2011.
20. Z.-P. Fan, X. Zhang, F.-D. Chen, Y. Liu, "Multiple attribute decision making considering aspiration-levels: A method based on prospect theory, " Comput. Ind. Eng., vol. 65, no. 2, pp. 341-350, 2013.
21. L. Wang, Z.-X. Zhang, Y.-M. Wang, "A prospect theory-based interval dynamic reference point method for emergency decision making, " Expert Syst. Appl., vol. 42, no. 23, pp. 9379-9388, 2015.
22. V. Torra, "Hesitant fuzzy sets, " Int. J. Intell. Syst., vol. 25, no. 6, pp. 529-539, 2010.
23. L. A. Zadeh, "Fuzzy sets, " Inf. Control, vol. 8, no. 3, pp. 338-356, 1965.
24. R. M. Rodríguez, et al., "A position, perspective analysis of hesitant fuzzy sets on information fusion in decision making. Towards high quality progress, " Inf. Fusion, vol. 29, pp. 89-97, May 2016.
25. C. Kittel, H. Kroemer, Thermal Physics. Macmillan, 1980.
26. P. Perrot, A to Z of Thermodynamics. Oxford, U.K.: Oxford Univ. Press, 1998.
27. (2016). [Online]. Available: Https://en.wikipedia.org/wiki/Entropy
28. A. Tversky, D. Kahneman, "Advances in prospect theory: Cumulative representation of uncertainty, " J. Risk Uncertainty, vol. 5, no. 4, pp. 297-323, 1992.
29. (2016). [Online]. Available: Https://en.wikipedia.org/wiki/First-law-of-thermodynamics
30. (2016). [Online]. Available: Https://en.wikipedia.org/wiki/Second-law-of-thermodynamics
31. (2016). [Online]. Available: Https://en.wikipedia.org/wiki/Third-law-of-thermodynamics
32. M. M. Xia, Z. S. Xu, "Hesitant fuzzy information aggregation in decision making, " Int. J. Approx. Reason., vol. 52, no. 3, pp. 395-407, 2011.
33. Z. S. Xu, Hesitant Fuzzy Sets Theory. Berlin, Germany: Springer, 2013.
34. Z. S. Xu, M. M. Xia, "Distance, similarity measures for hesitant fuzzy sets, " Inf. Sci., vol. 181, no. 11, pp. 2128-2138, 2011.
35. H. C. Liao, Z. S. Xu, M. M. Xia, "Multiplicative consistency of hesitant fuzzy preference relation, its application in group decision making, " Int. J. Inf. Technol. Decis. Making, vol. 13, no. 1, pp. 47-76, 2014. [Online]. Available: Http://dx.doi.org/10.1142/S0219622014500035
36. N. Chen, Z. S. Xu, M. M. Xia, "Correlation coefficients of hesitant fuzzy sets, their applications to clustering analysis, " Appl. Math. Model., vol. 37, no. 4, pp. 2197-2211, 2013.
37. J. F. Zhou, "Petri net modeling for the emergency response to chemical accidents, " J. Loss Prevent. Process Ind., vol. 26, no. 4, pp. 766-770, 2013.
38. C. Liu, et al., "E-net modeling, analysis of emergency response processes constrained by resources, uncertain durations, " IEEE Trans. Syst., Man, Cybern., Syst., vol. 45, no. 1, pp. 84-96, Jan. 2015.
39. D. Lumbroso, K. Stone, F. Vinet, "An assessment of flood emergency plans in England, Wales, France, The Netherlands, " Nat. Hazards, vol. 58, no. 1, pp. 341-363, 2011.
40. E. Piatyszek, G. M. Karagiannis, "A model-based approach for a systematic risk analysis of local flood emergency operation plans: A first step toward a decision support system, " Nat. Hazards, vol. 61, no. 3, pp. 1443-1462, 2012.
41. C. Y. Cheng, X. Qian, "Evaluation of emergency planning for water pollution incidents in reservoir based on fuzzy comprehensive assessment, " Proc. Environ. Sci., vol. 2, pp. 566-570, Dec. 2010.
42. F. Fiedrich, F. Gehbauer, U. Rickers, "Optimized resource allocation for emergency response after earthquake disasters, " Safety Sci., vol. 35, nos. 1-3, pp. 41-57, 2000.
43. J. K. Ford, A. M. Schmidt, "Emergency response training: Strategies for enhancing real-world performance, " J. Hazard. Mater., vol. 75, nos. 1-3, pp. 195-215, 2000.
44. S. J. Lee, P. H. Seong, "Development of automated operating procedure system using fuzzy colored petri nets for nuclear power plants, " Ann. Nucl. Energy, vol. 31, no. 8, pp. 849-869, 2004.
45. G. H. Chen, X. M. Zhang, "Fuzzy-based methodology for performance assessment of emergency planning, its application, " J. Loss Prevent. Process Ind., vol. 22, no. 2, pp. 125-132, 2009.
46. P. S. Georgiadou, I. A. Papazoglou, C. T. Kiranoudis, N. C. Markatos, "Multi-objective evolutionary emergency response optimization for major accidents, " J. Hazard. Mater., vol. 178, nos. 1-3, pp. 792-803, 2010.
47. N. Vaez, F. Nourai, "RANDAP: An integrated framework for reliability analysis of detailed action plans of combined automatic-operator emergency response taking into account control room operator errors, " J. Loss Prevent. Process Ind., vol. 26, no. 6, pp. 1366-1379, 2013.
48. D. Wang, C. Qi, H. W. Wang, "Improving emergency response collaboration, resource allocation by task network mapping, analysis, " Safety Sci., vol. 70, pp. 9-18, Dec. 2014. [Online]. Available: Http://dx.doi.org/10.1016/j.ssci.2014.05.005
49. D. Khayal, R. Pradhananga, S. Pokharel, F. Mutlu, "A model for planning locations of temporary distribution facilities for emergency response, " Socio Econ. Plan. Sci., vol. 52, pp. 22-30, Dec. 2015.
50. Y. Y. Huang, "Modeling, simulation method of the emergency response systems based on OODA, " Knowl. Based Syst., vol. 89, pp. 527-540, Nov. 2015.
51. Y. Liu, Z.-P. Fan, Y. Zhang, "Risk decision analysis in emergency response: A method based on cumulative prospect theory, " Comput. Oper. Res., vol. 42, pp. 75-82, Feb. 2014.
52. F. J. Cabrerizo, E. Herrera-Viedma, W. Pedrycz, "A method based on PSO, granular computing of linguistic information to solve group decision making problems defined in heterogeneous contexts, " Eur. J. Oper. Res., vol. 230, no. 3, pp. 624-633, 2013.
53. Y. C. Dong, H. J. Zhang, E. Herrera-Viedma, "Integrating experts' weights generated dynamically into the consensus reaching process, its applications in managing non-cooperative behaviors, " Decis. Support Syst., vol. 84, pp. 1-15, Apr. 2016.
54. Y. J. Xu, L. Chen, R. M. Rodríguez, F. Herrera, H. Wang, "Deriving the priority weights from incomplete hesitant fuzzy preference relations in group decision making, " Knowl. Based Syst., vol. 99, pp. 71-78, May 2016.
55. F. Chiclana, J. M. T. Garciá, M. J. del Moral, E. Herrera-Viedma, "A statistical comparative study of different similarity measures of consensus in group decision making, " Inf. Sci., vol. 221, pp. 110-123, Feb. 2013.
56. Z. S. Xu, X. L. Zhang, "Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information, " Knowl. Based Syst., vol. 52, pp. 53-64, Nov. 2013.
57. X. L. Zhang, Z. S. Xu, "The TODIM analysis approach based on novel measured functions under hesitant fuzzy environment, " Knowl. Based Syst., vol. 61, pp. 48-58, May 2016.
58. F. Wilcoxon, "Individual comparisons by ranking methods, " Biometrics Bull., vol. 1, no. 6, pp. 80-83, 1945.
59. E. Lehmann, H. J. M. D'Abrera, Nonparametrics: Statistical Methods Based on Ranks. San Francisco, CA, USA: Holden-Day, 1975.
60. T. L. Saaty, J. S. Shang, "An innovative orders-of-magnitude approach to AHP-based multicriteria decision making: Prioritizing divergent intangible humane acts, " Eur. J. Oper. Res., vol. 214, no. 3, pp. 703-715, 2011.
61. T. L. Saaty, "Rank from comparisons, from ratings in the analytic hierarchy/network processes, " Eur. J. Oper. Res., vol. 168, no. 2, pp. 557-570, 2006.
62. Z. S. Xu, "Approaches to multistage multi-attribute group decision making, " Int. J. Inf. Technol. Decis. Making, vol. 10, no. 1, pp. 121-146, 2011.
63. Z. S. Xu, "On multi-period multi-attribute decision making, " Knowl. Based Syst., vol. 21, no. 2, pp. 164-171, 2008.
64. I. J. Pérez, F. J. Cabrerizo, E. Herrera-Viedma, "A mobile decision support system for dynamic group decision-making problems, " IEEE Trans. Syst., Man, Cybern. A, Syst., Humans, vol. 40, no. 6, pp. 1244-1256, Nov. 2010.
65. Y. C. Dong, H. J. Zhang, E. Herrera-Viedma, "Consensus reaching model in the complex, dynamic MAGDM problem, " Knowl. Based Syst., vol. 106, pp. 206-219, Aug. 2016.
66. W. Pedrycz, S.-M. Chen, Granular Computing, Decision-Making: Interactive, Iterative Approaches. Heidelberg, Germany: Springer, 2015.
67. G. Peters, R. Weber, "DDC: A framework for dynamic granular clustering, " Granular Comput., vol. 1, no. 1, pp. 1-11, 2016.
68. Z. S. Xu, H. Wang, "Managing multi-granularity linguistic information in qualitative group decision making: An overview, " Granular Comput., vol. 1, no. 1, pp. 21-35, 2016.
69. P. Lingras, F. Haider, M. Triff, "Granular meta-clustering based on hierarchical, network, temporal connections, " Granular Comput., vol. 1, no. 1, pp. 71-92, 2016.
70. A. Skowron, A. Jankowski, S. Dutta, "Interactive granular computing, " Granular Comput., vol. 1, no. 2, pp. 95-113, 2016.
71. V. Loia, G. D'Aniello, A. Gaeta, F. Orciuoli, "Enforcing situation awareness with granular computing: A systematic overview, new perspectives, " Granular Comput., vol. 1, no. 2, pp. 127-143, 2016.
72. G. Wilke, E. Portmann, "Granular computing as a basis of human-data interaction: A cognitive cities use case, " Granular Comput., vol. 1, no. 3, pp. 181-197, 2016.
73. F. Min, J. Xu, "Semi-greedy heuristics for feature selection with test cost constraints, " Granular Comput., vol. 1, no. 3, pp. 199-211, 2016.
74. B. Apolloni, et al., "A neurofuzzy algorithm for learning from complex granules, " Granular Comput., vol. 1, no. 4, pp. 225-246, 2016.
75. M. L. Song, Y. B. Wang, "A study of granular computing in the agenda of growth of artificial neural networks, " Granular Comput., vol. 1, no. 4, pp. 247-257, 2016.
76. H. Liu, A. Gegov, M. Cocea, "Rule-based systems: A granular computing perspective, " Granular Comput., vol. 1, no. 4, pp. 259-274, 2016.