An extended prospect theory–VIKOR approach for emergency decision making with 2-dimension uncertain linguistic information

AbstractEmergency situations often require high-quality decisions which have to be made within a short period of time. An emergency event is often complex and can cause huge loss of lives and property if a wrong decision is made. Therefore, emergency decision making (EDM) has become a very high-profile research topic in recent years. In this paper, a new integrated approach based on prospect theory and VIKOR (VIsekriterijumska optimizacija i KOm-promisno Resenje), called linguistic PT-VIKOR, is proposed for solving the EDM problems with 2-dimension uncertain linguistic information. First, the preference information and the weights of criteria provided by experts for all statuses are expressed in the form of 2-dimension uncertain linguistic variables (2DULVs). Then, the individual experts’ opinions of each status are aggregated into a group decision matrix according to the aggregation operators of 2DULVs. Next, the group decision matrices of all statuses are transformed into a prospect decision matrix on the basis of the prospect theory, and the VIKOR technique is applied to rank the alternative solutions. Finally, the feasibility and practicability of the proposed linguistic PT-VIKOR approach is illustrated by an illustrate example and a comparative analysis.

[1]  Jian-Xin You,et al.  A novel hybrid multiple criteria decision making model for material selection with target-based criteria , 2014 .

[2]  Luis Martínez,et al.  A group decision method based on prospect theory for emergency situations , 2017, Inf. Sci..

[3]  Ting-Yu Chen,et al.  Remoteness index-based Pythagorean fuzzy VIKOR methods with a generalized distance measure for multiple criteria decision analysis , 2018, Inf. Fusion.

[4]  Zeshui Xu,et al.  Hesitant Fuzzy Linguistic VIKOR Method and Its Application in Qualitative Multiple Criteria Decision Making , 2015, IEEE Transactions on Fuzzy Systems.

[5]  Saleem Abdullah,et al.  Triangular cubic linguistic hesitant fuzzy aggregation operators and their application in group decision making , 2018, J. Intell. Fuzzy Syst..

[6]  Zeshui Xu,et al.  Induced uncertain linguistic OWA operators applied to group decision making , 2006, Inf. Fusion.

[7]  Zeshui Xu,et al.  Hesitant Fuzzy Thermodynamic Method for Emergency Decision Making Based on Prospect Theory , 2017, IEEE Transactions on Cybernetics.

[8]  Hu-Chen Liu,et al.  An improved approach for failure mode and effect analysis involving large group of experts: An application to the healthcare field , 2018, Quality Engineering.

[9]  Hu-Chen Liu,et al.  A 2-dimension uncertain linguistic DEMATEL method for identifying critical success factors in emergency management , 2018, Appl. Soft Comput..

[10]  Lei Zhang,et al.  A new emergency decision support methodology based on multi-source knowledge in 2-tuple linguistic model , 2018, Knowl. Based Syst..

[11]  Zeshui Xu,et al.  Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment , 2004, Inf. Sci..

[12]  Saleem Abdullah,et al.  Trapezoidal cubic fuzzy number Einstein hybrid weighted averaging operators and its application to decision making , 2019, Soft Comput..

[13]  Ying-Ming Wang,et al.  A prospect theory-based interval dynamic reference point method for emergency decision making , 2015, Expert Syst. Appl..

[14]  Ming-Yang Li,et al.  Extended TODIM method for multi-attribute risk decision making problems in emergency response , 2019, Comput. Ind. Eng..

[15]  Yucheng Dong,et al.  A prospect theory-based method for fusing the individual preference-approval structures in group decision making , 2018, Comput. Ind. Eng..

[16]  Qianhui Liu,et al.  An extended TOPSIS method for multiple attribute decision making problems with unknown weight based on 2-dimension uncertain linguistic variables , 2014, J. Intell. Fuzzy Syst..

[17]  Yejun Xu,et al.  An incomplete multi-granular linguistic model and its application in emergency decision of unconventional outburst incidents , 2015, J. Intell. Fuzzy Syst..

[18]  Peide Liu,et al.  2-Dimension uncertain linguistic power generalized weighted aggregation operator and its application in multiple attribute group decision making , 2014, Knowl. Based Syst..

[19]  Gwo-Hshiung Tzeng,et al.  Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS , 2004, Eur. J. Oper. Res..

[20]  Peide Liu,et al.  Generalized Hybrid Aggregation Operators Based on the 2-Dimension Uncertain Linguistic Information for Multiple Attribute Group Decision Making , 2016 .

[21]  Saleem Abdullah,et al.  Some geometric operators with triangular cubic linguistic hesitant fuzzy number and their application in group decision-making , 2018, J. Intell. Fuzzy Syst..

[22]  Haiyan Zhao,et al.  An approach to emergency decision making based on decision-theoretic rough set over two universes , 2016, Soft Comput..

[23]  Saleem Abdullah,et al.  Precursor Selection for Sol–Gel Synthesis of Titanium Carbide Nanopowders by a New Cubic Fuzzy Multi-Attribute Group Decision-Making Model , 2019, J. Intell. Syst..

[24]  Saleem Abdullah,et al.  Cubic fuzzy Einstein aggregation operators and its application to decision-making , 2018, Int. J. Syst. Sci..

[25]  Yixiong Feng,et al.  Environmentally friendly MCDM of reliability-based product optimisation combining DEMATEL-based ANP, interval uncertainty and Vlse Kriterijumska Optimizacija Kompromisno Resenje (VIKOR) , 2018, Inf. Sci..

[26]  Xiao-hong Chen,et al.  A dynamical consensus method based on exit-delegation mechanism for large group emergency decision making , 2015, Knowl. Based Syst..

[27]  Zeshui Xu,et al.  A Dynamic Weight Determination Approach Based on the Intuitionistic Fuzzy Bayesian Network and Its Application to Emergency Decision Making , 2018, IEEE Transactions on Fuzzy Systems.

[28]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[29]  Peide Liu,et al.  Some two-dimensional uncertain linguistic Heronian mean operators and their application in multiple-attribute decision making , 2015, Neural Computing and Applications.

[30]  Ying Li,et al.  Some Maclaurin symmetric mean aggregation operators based on two-dimensional uncertain linguistic information and their application to decision making , 2018, Neural Computing and Applications.

[31]  Harish Garg,et al.  Algorithms for interval-valued fuzzy soft sets in emergency decision making based on WDBA and CODAS with new information measure , 2018, Computers & Industrial Engineering.

[32]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[33]  Peide Liu,et al.  The aggregation operators based on the 2-dimension uncertain linguistic information and their application to decision making , 2016, Int. J. Mach. Learn. Cybern..

[34]  Peide Liu.  Two-dimensional uncertain linguistic generalized normalized weighted geometric Bonferroni mean and its application to multiple-attribute decision making , 2017 .

[35]  Ying-Ming Wang,et al.  A dynamic multi-attribute group emergency decision making method considering experts' hesitation , 2018, Int. J. Comput. Intell. Syst..

[36]  Saleem Abdullah,et al.  Aggregation operators on triangular cubic fuzzy numbers and its application to multi-criteria decision making problems , 2017, J. Intell. Fuzzy Syst..

[37]  Pei Wang,et al.  A multi-stage conflict style large group emergency decision-making method , 2017, Soft Comput..

[38]  K. Govindan,et al.  Multi-tier sustainable global supplier selection using a fuzzy AHP-VIKOR based approach , 2018 .

[39]  B. Sennaroglu,et al.  A military airport location selection by AHP integrated PROMETHEE and VIKOR methods , 2018 .

[40]  Lin Li,et al.  Picture fuzzy normalized projection-based VIKOR method for the risk evaluation of construction project , 2018, Appl. Soft Comput..

[41]  Bingzhen Sun,et al.  Fuzzy rough set on probabilistic approximation space over two universes and its application to emergency decision‐making , 2015, Expert Syst. J. Knowl. Eng..

[42]  Yejun Xu,et al.  A conflict-eliminating approach for emergency group decision of unconventional incidents , 2015, Knowl. Based Syst..

[43]  Gwo-Hshiung Tzeng,et al.  Extended VIKOR method in comparison with outranking methods , 2007, Eur. J. Oper. Res..

[44]  A. Tversky,et al.  Advances in prospect theory: Cumulative representation of uncertainty , 1992 .

[45]  Peide Liu,et al.  Multiple attribute decision-making method based on 2-dimension uncertain linguistic density generalized hybrid weighted averaging operator , 2018, Soft Comput..

[46]  Richard Y. K. Fung,et al.  An integrated decision-making approach for designing and selecting product concepts based on QFD and cumulative prospect theory , 2018, Int. J. Prod. Res..

[47]  Peide Liu.  An approach to group decision making based on 2-dimension uncertain linguistic information , 2012 .

[48]  Lin Zhong,et al.  Two MAGDM models based on hesitant fuzzy linguistic term sets with possibility distributions: VIKOR and TOPSIS , 2019, Inf. Sci..

[49]  Ying-Ming Wang,et al.  An Emergency Decision Making Method Based on Prospect Theory for Different Emergency Situations , 2018, International Journal of Disaster Risk Science.

[50]  Minghe Sun,et al.  Failure Mode and Effects Analysis Using Two-Dimensional Uncertain Linguistic Variables and Alternative Queuing Method , 2019, IEEE Transactions on Reliability.