基于层次分析法和熵权法的TOPSIS模型在番茄生长综合评价中的应用

采用山崎与Hoagland 2个营养液配方,在其标准浓度的基础上分别设置4个浓度水平,进行番茄盆栽试验,监测番茄株高、茎粗、叶面积、干物质、叶绿素、可溶性蛋白质和游离氨基酸7个指标,采用层次分析法、熵权法与TOPSIS法相结合的方法建立评价体系。结果表明,根据主观层次分析法与客观熵权法和基于熵权法确定的组合赋权法,确定各单一指标的权重值排序为叶绿素游离氨基酸茎粗全株干质量可溶性蛋白质株高单株叶面积;通过近似理想解法,构建番茄综合营养生长评价体系,在山崎1s(以标准配方的浓度为1个剂量,记为1s,下同)浓度下,番茄综合营养生长的理想解贴近度εi=0.967,山崎4/3s处理下其理想贴近度εi=0.901;其次是Hoagland配方2/3s浓度,与理想解的贴近度εi=0.817。应用主客观赋权法与TOPSIS相结合的方法,可以有效地对番茄苗期营养生长进行综合评价,并快速优选山崎1s作为番茄苗期营养液最佳浓度,为无土栽培营养液的选用提供一种相对科学严谨的方法。

Comprehensive Evaluation of Tomato Growing with Application of TOPSIS Model Based on AHP and Entropy Method

Four rates of Yamasaki and Hoagland solution were used respectively in a pot experiment. The contents of plant height, stem diameter, leaf area, dry mass , chlorophyll, soluble protein and free amino acids of tomato seedlings were determined to establish an evaluation system by means of adopted analytic hierarchy process (AHP), entropy method and TOPSIS method. Using entropy weighting method and analytic hierarchy process (AHP) to calculate subjective weights and objective weights, and the comprehensive weighting method was used to determine the single index weight. Results indicated that based on the importance, the indexes were ranked by chlorophyll > free amino acids > stem diameter > dry mass > soluble protein > plant height > leaf area. The comprehensive nutritional growing index was constructed by similarity to ideal solution (TOPSIS), and the closeness of ideal solution was 0.967 in Yamasaki 1s, 0.901 in Yamasaki 4/3s; the following was 0.817 in Hoagland 2/3 s. This article combined the objective and subjective weighting methods with TOPSIS to comprehensively evaluate the nutritional growth of tomato seedling and quickly selected Yamasaki 1s as the optimum concentration of tomato seedlings, which provided a relatively rigorous and scientific approach to the selection of nutrient solution in soilless culture.