基于组合赋权的TOPSIS模型在果实品质评价中的应用

Application of combination weighting based TOPSIS model in fruit quality evaluation

【目的】建立基于组合赋权的果实品质综合评价模型,为果实品质的准确、便捷评价提供依据。【方法】综合G1法、CRITIC法、熵权法得到单一果实品质指标组合权重值,再利用TOPSIS法构建加权矩阵,确定理想和负理想样本,计算相对接近度,建立果实品质综合评价模型,并利用该模型对不同施肥处理黄果柑的果实品质进行综合评价。【结果】在果实品质评价中,指标权重的确定是影响评价结果的关键,G1法所得指标权重表现为糖酸比最大,其次为固酸比,横径、红绿色差、黄蓝色差的权重值相等,但低于其余指标;CRITIC-熵权法所得权重表现为可溶性固形物最大,其次为果形指数,固酸比最低;组合赋权所得指标权重排序为可溶性固形物>糖酸比>固酸比>总糖>维生素C>单果质量>果形指数>可滴定酸>亮度>饱和度>纵径>红绿色差>黄蓝色差>横径。基于组合赋权的TOPSIS模型确定的果实综合品质排序与大多数单一品质指标呈正相关,不同施肥处理黄果柑果实品质与理想样本的相对接近度值为0.308 3~0.752 1。【结论】所建立的数学模型不仅提高了果实品质指标权重的正确性,并且适用性较强,使用方便。

【Objective】A comprehensive evaluation model of fruit quality based on combination weighting was established to provide basis for accurate and convenient evaluation of fruit quality.【Method】G1method,CRITIC method and entropy weight method were used to obtain the combination weight value of single fruit quality index.Then TOPSIS method was used to build weighted matrix,determine ideal and negative samples,calculate relative approach degree,and set up a comprehensive evaluation model of fruit quality.The model was used to comprehensively evaluate fruit quality of yellow citrus.【Result】The determination of index weight was a key factor in evaluation of fruit quality.G1 method showed that the highest weight was sugar acid ratio,followed by TSS-acid ratio,while horizontal diameter,red-green chromatic aberration and yellow-blue chromatic aberration had same values.CRITIC-entropy method showed that solu-ble solid had the highest weight,followed by fruit shape index,and TSS-acid ratio was the lowest.The index weights after combination weighting were in a descending order of soluble solid〉 sugar acid ratio〉 TSS-acid ratio〉 total sugar〉 vitamin C〉 single fruit weight〉 fruit shape index〉titratable acid〉 fruit brightness values〉chroma〉longitudinal diameter〉red-green chromatic aberration〉yellow-blue chromatic aberration〉horizontal diameter. TOPSIS model determined order of fruit quality of was positively correlated with most single quality index. The relative approach degree between yellow citrus quality with ideal samples was 0. 308 3--0. 7521. 【Conclusion】 The established model improved the accuracy of fruit quality weight indexes, and it was easy and convenient.