单值中智集的集结模型及其在多属性群决策问题中的应用研究
Research on Aggregation Model of Single-Valued Neutrosophic Set and Application in Multi-Attribute Group Decision-Making Problems
DOI: 10.12677/CSA.2023.135094, PDF,    科研立项经费支持
作者: 蒋承熹, 邱骏达, 范洪辉, 由从哲：江苏理工学院计算机工程学院，江苏 常州
关键词: 单值中智集；TOPSIS；群属性决策；Single-Valued Neutrosophic Set； TOPSIS； Group Attribute Decision
摘要: 本文针对单值中智集的集结模型及其在多属性群决策问题中的应用进行研究。首先将各个由单值中智集表示的决策者信息投影到三维平面内，利用偏好点之间的加权欧式距离表述决策者偏好信息之间的差异。然后，利用粒子群优化算法寻找空间最优集结点来描述决策者的综合偏好信息。最后，结合TOPSIS算法及投影理论计算各个备选方案的评分，从而得出方案优劣排序。文章的最后使用了一个典型案例来验证本文所提出集结模型的正确性和可靠性。
Abstract: This paper focuses on the aggregation model of single-valued neutrosophic set and its application in multi-attribute group decision-making problems. Firstly, the decision-maker information represented by a single-valued neutrosophic set is projected onto a three-dimensional plane, and the weighted Euclidean distance between preference points is used to express the differences between decision-maker preference information. Then, the particle swarm optimization is used to find the spatial optimal set node to describe the comprehensive preference information of the decision-maker. Finally, the TOPSIS algorithm and projection theory are combined to calculate the scores of each alternative solution, in order to determine the ranking of the advantages and disadvantages of the solutions. At the end of the paper, a typical case was used to verify the correctness and reliability of the proposed aggregation model.
文章引用：蒋承熹, 邱骏达, 范洪辉, 由从哲. 单值中智集的集结模型及其在多属性群决策问题中的应用研究[J]. 计算机科学与应用, 2023, 13(5): 964-972. https://doi.org/10.12677/CSA.2023.135094

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