基于熵权的DTOPSIS法和灰色关联度分析法在西瓜品种综合评价中的应用

Application of DTOPSIS Method and Grey Relational Analysis Based on Entropy Weight in Comprehensive Evaluation of Watermelon Varieties

为了给西瓜新品种鉴定和评价提供依据和方法,本研究将基于熵权的DTOPSIS法和灰色关联度分析法应用到西瓜品种的综合评价中。结果表明:通过调查单瓜重、果皮厚度、果实含糖量、外观质量、内在口感等8个指标,对18个西瓜品种进行分析评价,初步筛选出适宜昌乐及周边地区种植的品种为龙盛佳越、京美10K02和龙盛佳华。DTOPSIS法计算出品种间Ci值的最大差异达到65.07%,灰色关联度分析法中加权关联系数r′i值的最大差异仅为35.13%。相关性分析表明基于熵权的DTOPSIS法和灰色关联度分析法计算出的品种排名具有一致性,两者与仅依据单瓜重计算的排名均不具有一致性。研究认为,DTOPSIS法和灰色关联度分析法都能对西瓜品种作出科学的评价,其中DTOPSIS法具有相对更好的评价效果。

In order to provide basis and method for identifying and estimating the new watermelon varieties,DTOPSIS method and grey relational analysis based on entropy weight were applied to the analysis and evaluation of watermelon varieties.The methods were used to evaluate eighteen watermelon varieties from 8 indexes,such as fruit weight,fruit rind thickness,soluble solid content,quality and taste.The results showed that Longshengjiayue,Jingmei 10K02 and Longshengjiahua were suitable for planting in Changle and surrounding areas.Comparison results between these two methods showed that the biggest difference of Ci value in DTOPSIS method was 65.07%,but the biggest difference of the weighting correlation number r′i in grey relational analysis had only 35.13%.The results of correlation analysis showed that the varieties had a consistent ranking in the calculation method of DTOPSIS method and grey relational analysis based on entropy weight,and were not consistent with the rankings based simply on the fruit weight of the varieties.Both of the DTOPSIS method and grey relational analysis can make scientific comprehensive evaluation of watermelon varieties,among which the DTOPSIS method has a relatively better evaluation effect.