Pythagorean Decision-Making Model Considering Fusion Algorithms and Cross-Entropy

doi:10.3778/j.issn.1002-8331.1903-0335

Abstract

Abstract:

With respect to the multi-attribute decision making problem in which expert evaluation information is Pythagorean fuzzy number and attribute information is interrelated, the generalized Pythagorean operation rules are first defined. Combining with geometric Heronian mean, a Pythagorean Fuzzy Geometric Heronian Mean（PFGHM） operator is proposed. Then, a new Pythagorean fuzzy cross-entropy is designed based on logarithmic function. Finally, a Pythagorean decision-making model based on PFGHM operator and cross-entropy is constructed, and the reliability of the model is verified by an example of selecting talent teams in universities.

Key words: multi-attribute decision making model, Pythagorean fuzzy sets, geometric Heronian mean, cross-entropy, closeness degree

摘要：

针对专家评价信息为毕达哥拉斯模糊数并且属性值信息存在相互关联的多属性决策问题，定义了广义的毕达哥拉斯运算法则，并结合几何Heronian平均，提出了毕达哥拉斯模糊几何Heronian平均（PFGHM）算子；基于对数函数设计了新的毕达哥拉斯模糊交叉熵用于衡量信息之间的差异性；构造了基于PFGHM算子和交叉熵的毕达哥拉斯决策模型，并通过高校引进人才团队的选择实例验证模型的可靠性。

关键词: 多属性决策模型, 毕达哥拉斯模糊集, 几何Heronian平均, 交叉熵, 贴近度

SONG Juan. Pythagorean Decision-Making Model Considering Fusion Algorithms and Cross-Entropy[J]. Computer Engineering and Applications, 2020, 56(5): 74-79.

宋娟. 考虑融合算法与交叉熵的毕达哥拉斯决策模型[J]. 计算机工程与应用, 2020, 56(5): 74-79.

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Pythagorean Decision-Making Model Considering Fusion Algorithms and Cross-Entropy

考虑融合算法与交叉熵的毕达哥拉斯决策模型

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