Fuzzy logic applied to different adaptability and stability methods in common bean

Abstract: The objective of this work was to evaluate the efficiency of the methods of Eberhart & Russell and Lin & Binns, modified for the automation of decision-making by fuzzy logic, in assessing the adaptability and stability of common bean (Phaseolus vulgaris) cultivars. Eighteen cultivars of the “carioca” commercial group were evaluated in 11 environments, in Brazil. All results were obtained by programming in the R software. The developed controllers were based on the fuzzy inference system developed by Mamdani. This system was modeled to enable interpretations of the method of Eberhart & Russell alone or together with the modified method of Lin & Binns. The controller based on Eberhart & Russell and the one based on Eberhart & Russell and Lin & Binns identified the same cultivars as having general adaptability, but differed as to the classification of cultivars adapted to unfavorable environments. The BRSMG Pioneiro, BRS Pontal, IAC-Carioca Tybatã, and IPR Juriti cultivars presented general adaptability, whereas Campeão, Pérola, and BRS Estilo showed specific adaptability to favorable environments. The fuzzy logic methods used are efficient and allow the classification of all evaluated cultivars.

摘要：本研究旨在评估经模糊逻辑决策自动化改造后的Eberhart与Russell法、Lin与Binns法，在普通菜豆（Phaseolus vulgaris）品种适应性与稳定性评价中的应用效能。研究在巴西11个试验环境中，对18个隶属于卡里约卡（Carioca）商业组的菜豆品种开展了评价。所有试验结果均通过R软件编程获取。所构建的控制器基于曼达尼（Mamdani）提出的模糊推理系统，该系统经建模后可实现仅依托Eberhart & Russell法，或结合改良版Lin & Binns法的结果解读。基于Eberhart & Russell法的控制器，与同时结合Eberhart & Russell及Lin & Binns法的控制器，鉴定出了相同的广适应性品种，但在非适宜环境适应性品种的分类结果上存在差异。其中BRSMG Pioneiro、BRS Pontal、IAC-Carioca Tybatã及IPR Juriti四个品种具有广适应性，而Campeão、Pérola与BRS Estilo则表现出对适宜环境的专适应性。本研究所采用的模糊逻辑方法具备良好有效性，可完成所有供试品种的分类评价。