基于灰色关联法和HA算子的Pythagorean模糊群决策方法

doi:10.12005/orms.2018.0230

摘要/Abstract

摘要： 针对Pythagorean模糊群决策问题,提出一种基于Pythagorean模糊混合平均算子的决策方法。首先,提出一种基于Pythagorean模糊信息及其运算法则的Pythagorean模糊混合平均算子;其次,构建一种基于最大熵模型的属性位置权重定权方法,同时根据灰色关联方法提出一种属性客观权重计算方法,进而获得Pythagorean模糊混合平均算子的定权方法;利用Pythagorean模糊混合平均算子对单决策者信息进行融合,通过Pythagorean模糊加权平均算子对各专家信息进行融合,并依据得分函数与精确函数进行排序择优;最后,通过一个算例说明该方法的有效性和可行性。

关键词: 群决策, Pythagorean模糊集, Pythagorean模糊混合平均算子, 灰色关联法

Abstract: For the Pythagorean fuzzy group decision problem, a decision method based on Pythagorean fuzzy hybrid aggregation operator is put forward. Firstly, a Pythagorean fuzzy hybrid aggregation operator based on Pythagorean fuzzy information and its algorithm is proposed. Secondly, a method of obtaining criteria location weights based on maximum entropy model is constructed. Meanwhile, an approach to acquiring criteria objective weights is given according to the grey incidence analysis, and a method of determining criteria weights based on Pythagorean fuzzy hybrid aggregation operator is obtained. Pythagorean fuzzy hybrid aggregation operator is utilized to fuse the single decision maker information, Pythagorean fuzzy weighted average operator is used to fuse the expert information, and then according to the scoring function and accuracy function values of Pythagorean fuzzy numbers, a ranking method can be attained. Finally, the validity and feasibility of the method are illustrated by a case study.

Key words: group decision making, Pythagorean fuzzy set, Pythagorean fuzzy hybrid aggregation operator, grey incidence

中图分类号:

C934

李鹏, 沈志杰, 陈胜男, 柴庆泽. 基于灰色关联法和HA算子的Pythagorean模糊群决策方法[J]. 运筹与管理, 2018, 27(10): 56-62.

LI Peng, Shen ZHI-jie, CHEN Sheng-nan, CHAI Qing-ze. Pythagorean Fuzzy Group Decision Making Method Basedon Grey Incidence Analysis and HA Operator[J]. Operations Research and Management Science, 2018, 27(10): 56-62.

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