用模糊数学方法验证音乐对幼儿认知能力的促进作用
Examining the effects of music on cognitive skills of children in early childhood with the Pythagorean fuzzy set approach
- 基于专家意见构建毕达哥拉斯模糊集，量化音乐教育影响
- 算法排名与专家判断高度一致，证实音乐提升空间认知能力
- 适合教育研究者和儿童发展领域学者参考
认知发展受遗传与环境因素共同影响，音乐教育是重要环境变量。有研究指出音乐涉及数学、国际象棋等需要元认知功能的活动，有助于提升空间智能。本研究采用杨（Yager）提出的毕达哥拉斯模糊集（Pythagorean Fuzzy Sets, PFS）方法，基于专家意见构建PFS模型，并设计相应算法。通过期望得分函数对音乐教育在早期儿童中对空间-时间技能发展的效果进行排序。结果显示，算法得出的排名与专家评估结果高度重合，验证了音乐教育对早期儿童认知发展的积极影响。
原文摘要 · Abstract (English)
There are many genetic and environmental factors that affect cognitive development. Music education can also be considered as one of the environmental factors. Some researchers emphasize that Music is an action that requires meta-cognitive functions such as mathematics and chess and supports spatial intelligence. The effect of Music on cognitive development in early childhood was examined using the Pythagorean Fuzzy Sets(PFS) method defined by Yager. This study created PFS based on experts' opinions, and an algorithm was given according to PFS. The algorithm's results supported the experts' data on the development of spatial-temporal skills in music education given in early childhood. The algorithm's ranking was done using the Expectation Score Function. The rankings obtained from the algorithm overlap with the experts' rankings.
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