scholarly journals Research on Decision-Making Behavior of Discretionary Lane-Changing Based on Cumulative Prospect Theory

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Xueqin Long ◽  
Liancai Zhang ◽  
Shanshan Liu ◽  
Jianjun Wang
Keyword(s):  
Decision Making ◽  
Prospect Theory ◽  
Real Data ◽  
Cumulative Prospect Theory ◽  
Reference Points ◽  
Model Parameters ◽  
Lane Changing ◽  
Actual Observation ◽  
The Difference ◽  
Lane Keeping

In this paper, the decision-making model of discretionary lane-changing is established using cumulative prospect theory (CPT). Through analyzing the vehicles’ dynamic running states, safety spacing calculating approaches for discretionary lane-changing and lane-keeping have been put forward firstly. Then, based on CPT, a lane-changing decision model with accelerating space as its utility is proposed by estimating the difference between actual spacings and the safety spacings for discretionary lane-changing as well as lane-keeping. In order to calculate the utility of discretionary lane-changing, dynamic reference points and a parameter representing driver’s risk preference are introduced into the model. With the real data collected from an urban expressway, the distribution of discretionary lane-changing duration is analyzed, and the model parameters are also calibrated. Furthermore, the applicability of the model is evaluated by comparing with the actual observation and random unity model. Finally, the sensitivity analysis of the model is carried out, that is, assessing the influence degree of each variable on the decision result. The study reveals that the CPT-based model can describe discretionary lane-changing behavior more accurately, which consider drivers’ risk-aversion during decision-making.

scholarly journals Multi-stage emergency decision-making method based on cumulative prospect theory and intuitionistic fuzzy number

2020 ◽  
Author(s):  
Junxiang Xu ◽  
Jingni Guo ◽  
Jin Zhang ◽  
Weihua Liu ◽  
Hui Ma
Keyword(s):  
Decision Making ◽  
Prospect Theory ◽  
Cumulative Prospect Theory ◽  
Reference Points ◽  
Decision Makers ◽  
Dynamic Adjustment ◽  
Multi Stage ◽  
Emergency Decision Making ◽  
Emergency Decision ◽  
The Impact

Aiming at the problem where the dynamic adjustment of reference points under the impact of decision makers’ emotions may lead to different decision-making results, this research proposes a multi-stage emergency decision-making method with the emotion updating mechanism of decision makers. The method of setting dynamic reference points under the influence of decision-makers' emotions is given in this study, and the scenario value of each stage of emergency is calculated by using cumulative prospect theory, so as to describe the emotion renewal mechanism of decision-makers. The scenario weights of each stage are calculated, and the prospect values of alternatives at each stage are calculated according to the prospect value, input costs and start-up time values of the alternatives. Furthermore, by giving a calculation method of the weight of each stage, the overall values of the alternatives are calculated and the ranking of the alternatives is given. Taking Sichuan Tibet emergency rescue in China as an case analysis, the scientific rationality of the theory proposed in this paper is verified.

Decision-making of investment in navigation safety improving schemes with application of cumulative prospect theory

2018 ◽  
Vol 232 (6) ◽  
pp. 710-724 ◽  
Author(s):  
Lei Wang ◽  
Qing Liu ◽  
Tongle Yin
Keyword(s):  
Decision Making ◽  
Prospect Theory ◽  
Investment Decision ◽  
Cumulative Prospect Theory ◽  
Decision Makers ◽  
Investment Decision Making ◽  
Risk Appetite ◽  
Safety Investment ◽  
Navigation Safety

Navigation safety improving investment aims at mitigating risk and improving safety of shipping system, while decision-makers’ attitudes toward the uncertainty of shipping safety possess a characteristic of “bounded rationality.” To study the tendency of shipping safety investment decision-making with different risk perception and appetite, a decision-making method based on cumulative prospect theory is proposed in this article. First, we extract the decision attributes through analyzing the factors affecting shipping safety investment. Then, according to cumulative prospect theory, the value function and the probability weighting function for calculating cumulative prospect values of shipping investment attributes are given. Under the risk-based multi-attribute group decision-making framework, linear programming model and projection method are introduced to aggregate the weights of attributes and decision-makers, respectively. Furthermore, through a case study, the proposed methodology is utilized in Three Gorges Dam area, and the desirable safety investment scheme is determined from a set of candidate alternatives. The case study shows not only validity and feasibility of the decision-making approach but also the mechanism of shipping safety investment decision-making with consideration of the behavior characteristics of decision-makers such as reference dependence, risk appetite distortion, and loss aversion.

Video conferencing software selection based on hybrid MCDM and cumulative prospect theory under a major epidemic

2021 ◽  
pp. 1-18
Author(s):  
Jie Xu ◽  
Jian Lv ◽  
Hong-Tai Yang ◽  
Yan-Lai Li
Keyword(s):  
Prospect Theory ◽  
Weighting Function ◽  
Video Conferencing ◽  
Cumulative Prospect Theory ◽  
Reference Points ◽  
Software Selection ◽  
Interval Numbers ◽  
The Matrix ◽  
Selection Decision ◽  
Gains And Losses

The video conferencing software is regarded as a significant tool for social distancing and getting incorporations up and going. Due to the indeterminacy of epidemic evolution and the multiple criteria, this paper proposes a video conferencing software selection method based on hybrid multi-criteria decision making (HMCDM) under risk and cumulative prospect theory (CPT), in which the criteria values are expressed in various mathematical forms (e.g., real numbers, interval numbers, and linguistic terms) and can be changed with natural states of the epidemic. Initially, the detailed description of video conferencing software selection problem under an epidemic are given. Subsequently, a whole procedure for video conferencing software selection is conducted, the approaches for processing and normalizing the multi-format evaluation values are presented. Furthermore, the expectations provided by DMs under different natural states of the epidemic are considered as the corresponding reference points (RP). Based on this, the matrix of gains and losses is constructed. Then, the prospect values of all criteria and the perceived probabilities of natural states are calculated according to the value function and the weighting function in CPT respectively. Finally, the proposed method is illustrated by an empirical case study, and the comparison analysis and the sensitivity analysis for the loss aversion parameter are conducted to prove the effectiveness and robustness. The results show that considering the psychological characteristics of DMs in selection decision is beneficial to avoid the unacceptable and potential loss risks. This study could provide a useful guideline for managers who intend to select appropriate video conferencing software.

scholarly journals Trapezoidal Intuitionistic Fuzzy Multiattribute Decision Making Method Based on Cumulative Prospect Theory and Dempster-Shafer Theory

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Xihua Li ◽  
Fuqiang Wang ◽  
Xiaohong Chen
Keyword(s):  
Decision Making ◽  
Prospect Theory ◽  
Value Function ◽  
Cumulative Prospect Theory ◽  
Intuitionistic Fuzzy Numbers ◽  
Attribute Weight ◽  
Intuitionistic Fuzzy ◽  
Dempster Shafer Theory ◽  
Fuzzy Environment ◽  
Shafer Theory

With respect to decision making problems under uncertainty, a trapezoidal intuitionistic fuzzy multiattribute decision making method based on cumulative prospect theory and Dempster-Shafer theory is developed. The proposed method reflects behavioral characteristics of decision makers, information fuzziness under uncertainty, and uncertain attribute weight information. Firstly, distance measurement and comparison rule of trapezoidal intuitionistic fuzzy numbers are used to derive value function under trapezoidal intuitionistic fuzzy environment. Secondly, the value function and decision weight function are used to calculate prospect values of attributes for each alternative. Then considering uncertain attribute weight information, Dempster-Shafer theory is used to aggregate prospect values for each alternative, and overall prospect values are obtained and thus the alternatives are sorted consequently. Finally, an illustrative example shows the feasibility of the proposed method.

Dynamic multi-attribute decision-making method with three-parameter interval grey number based on the prospect theory

2018 ◽  
Vol 8 (4) ◽  
pp. 424-435 ◽  
Author(s):  
Ye Li ◽  
Dongxing Zhang
Keyword(s):  
Decision Making ◽  
Prospect Theory ◽  
Value Function ◽  
Reference Points ◽  
Content Type ◽  
Time Points ◽  
Decision Method ◽  
Multi Attribute Decision Making ◽  
Parameter Interval ◽  
Grey Number

Purpose The purpose of this paper is to propose a dynamic multi-attribute decision-making method based on the prospect theory for dealing with the dynamic multi-attribute decision-making problem with three-parameter interval grey number. Design/methodology/approach First, the kernel and comparison rule of three-parameter interval grey numbers are defined, which are the basis of collecting and sorting grey numbers. Next, the prospect value function is determined in view of the decision-making information with different time points as the reference points. Then, an optimal model for solving the attribute weight and time weight is constructed based on the grey entropy principle. Findings The paper provides a dynamic grey interrelation decision method based on the prospect theory with three-parameter interval grey number, and the example analysis shows that the method proposed in this paper has validity and rationality. Research limitations/implications If we have a better understanding of the weights of different reference points, it is possible to receive a more reasonable expression for the comprehensive prospect utility value function. Practical implications The paper provides a grey interrelation decision method based on the prospect theory, which can help the decision maker deal with the dynamic multi-attribute decision-making problems under the uncertain environment. Originality/value The paper proposes the kernel and ranking method of three-parameter interval grey number, and uses different time points as the reference points to define the prospect value function. Furthermore, this paper structures a dynamic grey interrelation decision method with three-parameter interval grey number based on the prospect theory.

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