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将模糊数学中的Fuzzy聚类方法首次应用于植物辐射育种,对普通小麦(Triticum aestivum L.)品种辐射敏感性作了Fuzzy聚类分析。选用49个普通小麦品种为研究材料,用~(60)Co-γ射线辐照小麦风干种子。根据模糊集合论原理,以辐照后小麦品种的幼苗高度、存活率等作为辐射敏感性因子,建立品种间辐射敏感性的Fuzzy相似关系R。通过改造R构建Fuzzy等价关系(即Fuzzy等价矩阵)以进行聚类分析。选取不同的λ-水平,将Fuzzy等价矩阵截为若干λ-截矩阵,从而把供试的小麦品种按其对γ射线辐射敏感性强弱分为若干群或类。落入每一个λ-截矩阵的品种即为同一辐射敏感性类型。在选定λ-水平的步长为0.18时,将小麦品种辐射敏感性分为极敏感型、敏感型、中间型、迟钝型和极迟钝型五类。这一结果为小麦辐射育种选择适宜的辐照亲本材料、确定最佳的辐照剂量,从而为提高辐射诱变效率提供了科学的依据。研究还表明,采用Fuzzy聚类分析对植物品种辐射敏感性进行分类较其他方法具有更强的可靠性。
Fuzzy clustering method in fuzzy mathematics was firstly applied to plant radiation breeding. Fuzzy clustering analysis was conducted on the radiation sensitivity of common wheat (Triticum aestivum L.) varieties. A total of 49 common wheat cultivars were selected as experimental materials, wheat seeds were irradiated with ~ (60) Co-γ rays. According to the theory of fuzzy set theory, the seedling height and survival rate of irradiated wheat cultivars were used as the radiation sensitive factors to establish the fuzzy similarity R between cultivars. By modifying R, Fuzzy equivalence relation (ie Fuzzy equivalent matrix) is constructed for cluster analysis. Select different λ-level, the fuzzy equivalent matrix is cut into several λ-cut matrix, so that the wheat varieties tested according to their sensitivity to γ-ray radiation is divided into groups or groups. The species that fall into each λ-cut matrix are of the same radiation-sensitive type. Radiation sensitivity of wheat cultivars was divided into five categories: extremely sensitive, sensitive, intermediate, slow and very slow when the step of λ-level was 0.18. This result provides a scientific basis for choosing the appropriate irradiated parent material for wheat radiation breeding and determining the optimal radiation dose. The research also shows that using Fuzzy clustering analysis to classify the radiation sensitivity of plant varieties is more reliable than other methods.