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Today, the editor brings the “Knowledge of multi-attribute decision-making”.
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In the last issue, we discussed the research process of multi-attribute decision-making based on the TOPSIS method in recent years. In order to expand our understanding, this issue uses CNKI as a channel to search for articles above the core level in the past three years with the themes of "hesitation and ambiguity" and "multi-attribute decision-making".
In the previous issue, the editor discussed the research progress of scholars in recent years on multi-attribute decision-making mainly based on TOPSIS method. To expand our understanding, this issue's editor uses CNKI as a channel to conduct a search for core level and above articles in the past three years, with the themes of "hesitation and ambiguity" and "multi-attribute decision-making".
Wang Zhiping [1] proposed a multi-attribute group decision-making method based on the combination of cumulative prospect theory and multi-criterion compromise optimization solution (VIKOR) method to improve the psychological behavior of decision-makers, considering the shortcomings of decision-makers' psychological behaviors, such as risk aversion and risk appetite in the face of losses.
The authors' approach is mainly aimed at the fact that there is little research on the cumulative prospect theory in the ambiguous environment of probability hesitation. Some research models overconsider the subjective psychological factors of decision-makers, while ignoring the influence of objective solutions, and at the same time, they are also very subjective in the ranking method, resulting in irrational results. In this paper, the method proposed by the authors overcomes the limitations of the scheme ranking method in the traditional method, and has the advantages of considering the maximization of group utility and the minimization of individual regret at the same time, as well as integrating the subjective preferences of decision-makers.
Wang Zhiping et al. [1] considered the shortcomings of decision-makers' psychological behavior, such as risk avoidance mentality and risk preference when facing losses, and proposed a multi-attribute group decision-making method based on the combination of cumulative prospect theory and multi criteria compromise optimization solution (VIKOR) method, which improved the psychological behavior of decision-makers.
The author's method mainly focuses on the limited research on the cumulative prospect theory in probabilistic hesitant fuzzy environments. Some research models overly consider the subjective psychological factors of decision-makers and overlook the influence of objective solutions. At the same time, the ranking method is also subjective, resulting in less rational results. The method proposed by the author in this paper overcomes the limitations of the traditional method of ranking options, and has the advantages of considering both maximizing group utility and minimizing individual regret, as well as incorporating subjective preferences of decision-makers.
Wang Lili et al. [2] proposed a multi-attribute decision-making method based on regret theory and probabilistic hesitant fuzzy set to better describe the actual psychology of decision-makers and make the decision-making results more objective and scientific.
Considering the uncertainty of the decision-making environment and the complexity of the decision-making problem, it is increasingly difficult for decision-makers to deal with the problems related to uncertain multi-attribute decision-making, that is, the collection, expression and portrayal of decision-making information in multi-attribute decision-making problems, such as preference and avoidance psychology.
Wang Lili et al. [2] proposed a multi-attribute decision-making method based on regret theory and probabilistic hesitant fuzzy sets to better characterize the actual psychology of decision-makers and make decision results more objective and scientific, in response to the characteristics of hesitation and preference, as well as risk avoidance and regret avoidance when evaluating decision-makers.
The author's method is mainly aimed at considering the uncertainty of the decision-making environment and the complexity of decision-making problems, making it increasingly difficult for decision-makers to deal with the related problems of uncertain multi-attribute decision-making, namely the collection, expression, and characterization of decision information in multi-attribute decision-making problems, such as the preference and avoidance psychology of decision-makers.
Guan Xin et al. [3] proposed a new Pythagorean hesitant fuzzy set scoring function to solve the shortcomings of the existing scoring functions, which not only solved the problem of attribute association, but also reflected the psychological behavior characteristics of decision makers through prospect theory.
The author's method is mainly aimed at the increasing theoretical achievements of PHFS, but the research focuses on the application of multi-attribute decision-making, and the improvement of the basic properties of PHFS is less involved, especially the scoring function, distance measure and normalization method, such as the existing scoring function may fail under some special circumstances.
Guan Xin et al. [3] proposed a new Pythagorean hesitant fuzzy set score function for multi-attribute decision-making problems where attributes are interrelated and the evaluation information is Pythagorean hesitant fuzzy information. This solves the shortcomings of existing score functions, solves the problem of attribute correlation, and reflects the psychological and behavioral characteristics of decision-makers through prospect theory.
The author's method mainly focuses on the increasingly rich theoretical achievements of PHFS, but the research focuses more on multi-attribute decision-making applications, and there is less involvement in improving the basic properties of PHFS, especially score functions, distance measures, and normalization methods. For example, existing score functions may fail in certain special situations.
Based on the above, scholars who are interested in hesitant and ambiguous backgrounds have been expanded in multiple directions, which can be summarized into two main directions: on the one hand, they integrate into more complex background conditions, and on the other hand, they consider practical needs more objectively.
Based on the above, scholars interested in hesitant and ambiguous backgrounds have expanded in multiple directions, which can be summarized as two main directions: on the one hand, integrating into more complex background conditions, and on the other hand, objectively considering practical needs.
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References: Baidu Encyclopedia, Baidu Translate
Bibliography:
[1] Wang Zhiping, Zhang Meng, Fu Min, et al. Multi-attribute group decision-making method based on cumulative prospect theory and VIKOR in probabilistic hesitant fuzzy environment[J].Science Technology and Engineering, 2023, 23 (25): 10649-10657.
[2] Wang Lili, You Liang, Xiang Huachun. Multi-attribute Decision Making Method Based on Regret Theory and Probabilistic Hesitant Fuzzy Set [J]. Practice and Understanding of Mathematics, 2023, 53 (07): 255-264.
[3] Guan Xin, Liu Ying. Research on Multi-attribute Decision Making of Pythagorean Hesitant Fuzzy Set [J]. Systems Engineering and Electronics, 2024, 46 (03): 982-991.