The construction and application of grey principal component evaluation model

YUAN Zhou, FANG Zhigeng

Systems Engineering - Theory & Practice ›› 2016, Vol. 36 ›› Issue (8) : 2086-2090.

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Systems Engineering - Theory & Practice ›› 2016, Vol. 36 ›› Issue (8) : 2086-2090. DOI: 10.12011/1000-6788(2016)08-2086-05

The construction and application of grey principal component evaluation model

  • YUAN Zhou, FANG Zhigeng
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Abstract

Based on combing the existing problems about applying the principal component analysis into evaluation in social science, the principal component evaluation is extended into the field of grey system and the grey principal component evaluation model is constructed with the grey relative correlation degree matrix instead of the traditional covariance matrix or correlation matrix for principal component analysis and evaluation. In addition, some discussions are done according to the current problem of repeated weight in principal component evaluation, and the factor loading is regarded as important basis of weight synthesis in principal component evaluation, clearing the negative influence of importance weight on data matrix. Finally, two cases are built to show the rationality and validity of the thinking proposed in the article.

Key words

grey system / relative correlation degree matrix / principal component evaluation / factor loading

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YUAN Zhou , FANG Zhigeng. The construction and application of grey principal component evaluation model. Systems Engineering - Theory & Practice, 2016, 36(8): 2086-2090 https://doi.org/10.12011/1000-6788(2016)08-2086-05

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Funding

Marie Curie International Incoming Fellowships (FP7-PⅡF-GA-2013-629051); International Networks of Leverhulme Trust Foundation (IN-2014-020)
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