A dynamic approach for emergency decision making based on prospect theory with interval-valued Pythagorean fuzzy linguistic variables

Ding, Xuefeng; Liu, Hu‐Chen; Shi, Hua

doi:10.1016/j.cie.2019.03.037

Cited by 63 publications

(43 citation statements)

References 44 publications

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“…We can see that the ranking results are different between our proposed method and in [38]. According to the method proposed in [38], alternative A 3 is the best enterprise only at time node 1. In our proposed method, alternative A 3 is the best enterprise in most cases.…”

Section: D(mentioning

confidence: 75%

“…Decision results using TOPSIS method in [29]. (2) Comparison with the dynamic decision method based on prospect theory proposed in [38] Ding et al [38] proposed a dynamic method based on prospect theory. The main decision steps are concluded as follows.…”

Section: Comparison Analysismentioning

confidence: 99%

“…We use the dynamic decision method to solve our decision problem. We use the same parameters in prospect theory as Ding et al [38].…”

Section: D(mentioning

confidence: 99%

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A Dynamic Decision Making Method Based on GM(1,1) Model with Pythagorean Fuzzy Numbers for Selecting Waste Disposal Enterprises

Liu

Wei

2019

Sustainability

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With the rapid development of society and the economy, most cities have to face a serious problem of “Garbage Siege”. The garbage classification is imperative because the traditional disposal method for household solid waste is not suitable for this situation. The Chinese government proposed a public private partnership (PPP) style to increase the efficiency of garbage disposal in 2013. An effective method to evaluate the waste disposal enterprises is essential to choose suitable ones. A reasonable evaluation method should consider enterprises’ performance not only now but also in the future. This paper aims to propose a dynamic decision making method to evaluate the enterprises’ performance based on a GM(1,1) model and regret theory with Pythagorean fuzzy numbers (PFNs). First, we proposed a GM(1,1) model for predicting score function of PFNs. Then, we put forward a method to obtain the prediction of grey degree using OWA operator. Based on the prediction of score function and grey degree, we established a novel GM(1,1) model of PFNs. Furthermore, we utilized the grey incidence method to obtain the criteria weights with Pythagorean fuzzy information. We used the regret theory to aggregate information and rank the alternatives. Finally, we applied our proposed method to solve the selecting waste disposal enterprises problem in Shanghai. By the case study we can obtain that our method is effective to solve this problem.

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Section: D(mentioning

confidence: 75%

Section: Comparison Analysismentioning

confidence: 99%

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A Dynamic Decision Making Method Based on GM(1,1) Model with Pythagorean Fuzzy Numbers for Selecting Waste Disposal Enterprises

Liu

Wei

2019

Sustainability

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“…For example, Li and Wei () proposed an EDM approach by combing Dempster–Shafer evidence theory and probabilistic linguistic term sets. Ding et al () suggested a dynamic EDM approach based on prospect theory and interval‐valued Pythagorean fuzzy linguistic variables. Liang et al (2019) extended the TODIM (an acronym in Portuguese of interactive and multiple criteria decision making) method with proportional hesitant fuzzy linguistic sets to solve the mine EDM problem with partial weight information.…”

Section: Literature Reviewmentioning

confidence: 99%

“…However, because emergency events are characterized by randomness, complexity, and uncertainty, it is difficult for conventional emergency measures to address them (Cai, Xu, Wang, & Chen, ; Ding & Liu, ). Therefore, the researches on emergency decision making (EDM) problems have gained increasingly attentions from both scholars and practitioners recently (Ding, Liu, & Shi, ; Gao, Xu, Ren, & Liao, ; Li & Wei, ; Y. Liang, Tu, Ju, & Shen, ; Zhou, Wang, Qin, Chai, & Gómez Muñoz, ).…”

Section: Introductionmentioning

confidence: 99%

Emergency decision making with extended axiomatic design approach under picture fuzzy environment

2019

Self Cite

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Timely and effective emergency decision making (EDM) is the key to control the spread of disasters and reduce the casualties and property losses caused by emergencies. However, due to limited time and insufficient data, it is difficult for decision makers to provide accurate information about emergency incidents. Moreover, the EDM problems become complicated and unstructured requiring the deployment of advanced mathematical techniques to derive the most acceptable response. In this paper, we propose a new EDM approach by using picture fuzzy sets and axiomatic design technique for determining the optimal rescue plan to reduce the damages of emergencies. The contribution of this paper is to apply the picture fuzzy sets to handle the uncertainty and ambiguity of decision makers' assessments on emergency alternatives, apply the picture fuzzy hybrid averaging operator to aggregate decision makers' opinions into a group evaluation matrix and extend the axiomatic design technique to identify the best emergency solution for EDM. Finally, a real example is provided, and the result is compared with existing methods to demonstrate the feasibility and practicability of our proposed EDM approach.

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Interval‐valued Pythagorean fuzzy linguistic TODIM based on PCA and its application for emergency decision

2020

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Nowadays the emergency decision has become a hot topic in the field of decision-making with intervalvalued Pythagorean fuzzy linguistic (IVPFL) information. Moreover, with the increase of attributes and decision makers, the complexity of the operation is a great challenge for making decision. How to overcome multicollinearity is a crucial link in the emergency decision modeling process. In this paper, we treat the attributes and DMs as IVPFL variables and construct the IVPFL principal component analysis (IVPFL-PCA) model to overcome the multicollinearity. Then, a novel TODIM (abbreviation for interactive and multicriterial decision-making in Portuguese) method is proposed to tackle the IVPFL information under several new variables that are independent of each other (i.e., the PCs) and the reasonable weights of PCs obtained based on the IVPFL-PCA model. Finally, a case study on earthquake emergency decision is presented to show the applicability of the proposed approach and some comparisons are presented to illustrate its superiorities.

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A dynamic approach for emergency decision making based on prospect theory with interval-valued Pythagorean fuzzy linguistic variables

Cited by 63 publications

References 44 publications

A Dynamic Decision Making Method Based on GM(1,1) Model with Pythagorean Fuzzy Numbers for Selecting Waste Disposal Enterprises

A Dynamic Decision Making Method Based on GM(1,1) Model with Pythagorean Fuzzy Numbers for Selecting Waste Disposal Enterprises

Emergency decision making with extended axiomatic design approach under picture fuzzy environment

Interval‐valued Pythagorean fuzzy linguistic TODIM based on PCA and its application for emergency decision

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