Probabilistic hesitant fuzzy TOPSIS emergency decision-making method based on the cumulative prospect theory

2021 ◽  
pp. 1-17
Author(s):  
Xiuyan Sha ◽  
Chuancun Yina ◽  
Zeshui Xu ◽  
Shen Zhang
Keyword(s):  
Decision Making ◽  
Prospect Theory ◽  
Weighted Average ◽  
Original Data ◽  
Fuzzy Topsis ◽  
Cumulative Prospect Theory ◽  
New Method ◽  
Attribute Weights ◽  
Emergency Decision Making ◽  
Emergency Decision

In order to fully consider the decision-maker’s limited rationality and attitude to risk, this paper constructs the probabilistic hesitant fuzzy TOPSIS emergency decision-making model based on the cumulative prospect theory under the probabilistic hesitant fuzzy environment. Aiming at the problem of missing probabilistic information in the probabilistic hesitant fuzzy element, a new complement scheme is proposed. In this scheme, the weighted average result of the original data information is used to complement, and the original data information is retained to a large extent. Then this paper proposes several probabilistic hesitant fuzzy distance measures based on Lance distance. The decision reference point is constructed by the probabilistic hesitant fuzzy Lance distance, which overcomes the influence of the extreme value on the decision-making result, and defines the value function based on the probability hesitation fuzzy Lance distance. In view of the fact that the attribute weights are completely unknown, the probabilistic hesitant fuzzy exponential entropy is constructed by using the actual data, and the attribute weights of different prospect states are obtained. Aiming at the problem that attribute weights of different prospect states have different effects on the cumulative prospect value, the expression of the cumulative prospect value is improved. The improved closeness coefficient of the TOPSIS method is used to order the emergency schemes. Finally, the new method is applied to the emergency decision-making case of a sudden outbreak of epidemic respiratory disease. The results show that the contrast of the new method is obvious, which is conducive to distinguish different schemes. The new method is more suitable for the complex and changeable emergency decision-making field.

TOPSIS method for spherical fuzzy MAGDM based on cumulative prospect theory and combined weights and its application to residential location

2022 ◽  
pp. 1-14
Author(s):  
Huiyuan Zhang ◽  
Guiwu Wei ◽  
Cun Wei
Keyword(s):  
Decision Making ◽  
Prospect Theory ◽  
Residential Location ◽  
Fuzzy Topsis ◽  
Cumulative Prospect Theory ◽  
Topsis Method ◽  
Attribute Weights ◽  
Fuzzy Environment ◽  
Multiple Attribute ◽  
Topsis Approach

Nowadays, how to choose a comfortable and relatively satisfactory residence is one of the multiple attribute group decision making (MAGDM) issues which people are paying more and more attention. However, since the inaccuracy and fuzziness of the information are given by decision makers (DMs) in practical decision-making and psychological factors of DMs should be considered in the decision-making process, this paper presents TOPSIS approach based on cumulative prospect theory (CPT) to deal with the MAGDM issues under the spherical fuzzy environment. Furthermore, considering the objective relationship between the attributes, the combined weights are used to get attribute weights in spherical fuzzy sets (SFSs). Finally, an example of residential location is introduced to prove the validity of our proposed approach by comparing with spherical fuzzy TOPSIS(SF-TOPSIS) method and spherical fuzzy WASPAS (SF-WASPAS) method.

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.

Pythagorean probabilistic hesitant fuzzy aggregation operators and their application in decision-making

Kybernetes ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Bushra Batool ◽  
Saleem Abdullah ◽  
Shahzaib Ashraf ◽  
Mumtaz Ahmad
Keyword(s):  
Decision Making ◽  
Fuzzy Number ◽  
Weighted Average ◽  
Aggregation Operators ◽  
Content Type ◽  
Operational Laws ◽  
Fuzzy Aggregation ◽  
Emergency Decision Making ◽  
Emergency Decision ◽  
Established Technique

PurposeThis is mainly because the restrictive condition of intuitionistic hesitant fuzzy number (IHFN) is relaxed by the membership functions of Pythagorean probabilistic hesitant fuzzy number (PyPHFN), so the range of domain value of PyPHFN is greatly expanded. The paper aims to develop a novel decision-making technique based on aggregation operators under PyPHFNs. For this, the authors propose Algebraic operational laws using algebraic norm for PyPHFNs. Furthermore, a list of aggregation operators, namely Pythagorean probabilistic hesitant fuzzy weighted average (PyPHFWA) operator, Pythagorean probabilistic hesitant fuzzy weighted geometric (PyPHFWG) operator, Pythagorean probabilistic hesitant fuzzy ordered weighted average (PyPHFOWA) operator, Pythagorean probabilistic hesitant fuzzy ordered weighted geometric (PyPHFOWG) operator, Pythagorean probabilistic hesitant fuzzy hybrid weighted average (PyPHFHWA) operator and Pythagorean probabilistic hesitant fuzzy hybrid weighted geometric (PyPHFHWG) operator, are proposed based on the defined algebraic operational laws. Also, interesting properties of these aggregation operators are discussed in detail.Design/methodology/approachPyPHFN is not only a generalization of the traditional IHFN, but also a more effective tool to deal with uncertain multi-attribute decision-making problems.FindingsIn addition, the authors design the algorithm to handle the uncertainty in emergency decision-making issues. At last, a numerical case study of coronavirus disease 2019 (COVID-19) as an emergency decision-making is introduced to show the implementation and validity of the established technique. Besides, the comparison of the existing and the proposed technique is established to show the effectiveness and validity of the established technique.Originality/valuePaper is original and not submitted elsewhere.

scholarly journals An Improved Genetic Algorithm for Emergency Decision Making under Resource Constraints Based on Prospect Theory

Algorithms ◽  
2019 ◽  
Vol 12 (2) ◽  
pp. 43 ◽  
Author(s):  
Leiwen Chen ◽  
Yingming Wang ◽  
Geng Guo
Keyword(s):  
Genetic Algorithm ◽  
Decision Making ◽  
Prospect Theory ◽  
Resource Constraints ◽  
Emergency Situation ◽  
Practical Significance ◽  
Improved Genetic Algorithm ◽  
Emergency Decision Making ◽  
Emergency Decision ◽  
Value Measurement

The study of emergency decision making (EDM) is helpful to reduce the difficulty of decision making and improve the efficiency of decision makers (DMs). The purpose of this paper is to propose an innovative genetic algorithm for emergency decision making under resource constraints. Firstly, this paper analyzes the emergency situation under resource constraints, and then, according to the prospect theory (PT), we further propose an improved value measurement function and an emergency loss levels weighting algorithm. Secondly, we assign weights for all emergency locations using the best–worst method (BWM). Then, an improved genetic algorithm (GA) based on prospect theory (PT) is established to solve the problem of emergency resource allocation between multiple emergency locations under resource constraints. Finally, the analyses of example show that the algorithm can shorten the decision-making time and provide a better decision scheme, which has certain practical significance.

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