基于TODIM法的三角直觉模糊多属性决策算法及应用
The Algorithm and Application of Triangular Intuitionistic Fuzzy Multi-Attribute Decision Making Based on TODIM Method
DOI: 10.12677/AAM.2021.105163, PDF,    国家自然科学基金支持
作者: 苏晓艳*, 陈京荣#, 尹会玲：兰州交通大学数理学院，甘肃 兰州；郝斌斌：兰州交通大学交通运输学院，甘肃 兰州
关键词: 三角直觉模糊数；理想解；TODIM法；多属性决策；Triangular Intuitionistic Fuzzy Number； Ideal Solution； TODIM Method； Multi-Attribute Decision Making
摘要: 将TODIM法应用于三角直觉模糊多属性决策领域。首先，在经典TODIM法中引入了Hamming三角直觉模糊距离测度公式，得到了改进的优势度表达式，采用了最大离差赋权法求解三角直觉模糊多属性决策问题的权重。其次，根据三角直觉模糊数得分函数的概念定义了其理想解，并将它应用于改进的优势度。最后，利用改进TODIM法设计了三角直觉模糊多属性决策问题的决策算法，通过算例验证了该算法的可行性与有效性，并且与利用前景理论解决三角直觉模糊多属性决策问题的方案作了对比，说明了该算法的合理性。
Abstract: The application of TODIM method is extended to the triangular intuitionistic fuzzy multi-attribute decision making. First, a new Hamming distance measure formula of triangular intuitionistic fuzzy numbers is introduced in the classical TODIM method, and an improved dominance degree formula is given. The maximum deviation weighting method is used to solve the triangular intuitionistic fuzzy multi-attribute decision making problem. Secondly, according to the concept of triangular intuitionistic fuzzy numbers score function, the ideal solution is defined and applied to the improved dominance degree. Finally, the improved TODIM method is used to design the decision algorithm of triangular intuitionistic fuzzy multi-attribute decision making problem. The feasibility and effectiveness of the algorithm are verified by a numerical example, and the rationality of the algorithm is illustrated by comparing it with the scheme to solve triangular intuitionistic fuzzy multi-attribute decision making problem by using the prospect theory.
文章引用：苏晓艳, 陈京荣, 郝斌斌, 尹会玲. 基于TODIM法的三角直觉模糊多属性决策算法及应用[J]. 应用数学进展, 2021, 10(5): 1531-1540. https://doi.org/10.12677/AAM.2021.105163

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