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针对决策者给出属性权重系数的直觉模糊多属性决策问题,提出一种权重系数优化方法并通过证据推理有效融合各项决策数据。首先,用直觉模糊熵和直觉模糊相似度表示决策信息的客观性,利用熵权法融合公式对主观权重系数进行优化修正;其次,发挥证据推理方法的优越性,将各属性的直觉模糊信息进行融合得到每个方案的综合直觉模糊集;再次,运用一种新的记分函数对每个方案进行综合考量,排序得到最优方案;最后,结合算例验证该方法的有效性和可行性。
Abstract：To deal with the intuitionistic fuzzy multi-attribute decision making problem, in which decision makers gave attribute weight coefficients, a weight factor optimization method was proposed. And the decision data was effectively fused through evidence reasoning. Firstly, the intuitionistic fuzzy entropy and intuitionistic fuzzy similarity were used to represent the objectivity of decision-making information. Then, the entropy weight method was used to optimize the subjective weight coefficient. Secondly, the superiority of evidential reasoning method was used to fuse the intuitionistic fuzzy information of each attribute to obtain a comprehensive intuitionistic fuzzy set for each scheme. A new scoring function was used to comprehensively consider each scheme, and the optimal scheme was obtained by sorting. Finally, an example was given to verify the validity and feasibility of the method.
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基本信息:
DOI：10.13705/j.issn.1671-6841.2020181
中图分类号:O159;O225
引用信息:
[1]夏梦颐,王应明.权重优化下基于证据推理的直觉模糊多属性决策[J],2021,53(02):66-71+89.DOI:10.13705/j.issn.1671-6841.2020181.
基金信息:
国家自然科学基金项目(61773123)
2020-06-12
2020
2021-05-28
2021
2