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Biological taxonomic problem solving using fuzzy decision-making analytical tools

机译：使用模糊决策分析工具解决生物分类问题

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摘要

Biological taxonomy is at the heart of species identifications. Such identifications are instrumental in biodiversity studies, ecological assessment, and phylogenetic analysis, among other studies. Fuzzy measures and classification integration was used to analyze shape groups of the diatom Asterionella using fuzzy Fourier shape coefficients and fuzzy morphometric measures. Based on this analysis, six shape groups were determined with specimen membership assignments at or exceeding the crossover point (0.5). Fuzzy average overlap values were approximately at or just over the crossover point, indicating similarity in developmental stages. In further analysis, spatial and temporal data from specimen samples were used in conjunction with fuzzy membership assignment values. Spatial and temporal variables were ranked and fuzzified based on the mode. The modes were then weighted by degree of importance as determined by an expert in diatom research. The weighted fuzzy modes for each specimen in each shape group were aggregated as a weighted sum. The normalized relative cardinality for each specimen defined the degree of suitability that a specimen belonged to a shape group, and the expert evaluated the result. While morphological data specifies inheritance (shape) and development (morphometry), spatial and temporal data were proxies for reproductive isolation. These biological principles constrained and defined the direction of analysis and defined each shape group as a species to the degree specified by each specimen. This fuzzy decision-making process provided a simple way to aggregate scant available data and a linguistic solution in a taxonomic study understandable to a biologist.
机译：生物分类学是物种识别的核心。此类鉴定有助于生物多样性研究，生态评估和系统发育分析等研究。利用模糊傅里叶形状系数和模糊形态计量学方法，通过模糊测度和分类集成分析了硅藻无花果的形状群。基于此分析，确定了六个形状组，并在或超过交叉点（0.5）时分配了标本成员资格。模糊平均重叠值大约等于或刚刚超过交叉点，表明在发育阶段相似。在进一步的分析中，样本样本的时空数据与模糊隶属度分配值结合使用。根据模式对时空变量进行排序和模糊化。然后根据硅藻研究专家确定的重要程度对模式进行加权。将每个形状组中每个样本的加权模糊模式汇总为加权和。每个标本的归一化相对基数定义了标本属于形状组的适合程度，专家评估了结果。虽然形态学数据指定了遗传（形状）和发育（形态），但空间和时间数据是生殖隔离的代理。这些生物学原理限制并定义了分析方向，并将每个形状组定义为每个样本指定程度的物种。这种模糊的决策过程提供了一种简单的方法，可以汇总生物学家可以理解的分类研究中的少量可用数据和语言解决方案。

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