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The concept of unavoidable features in fuzzy relational compositions
Knowledge-Based Systems ( IF 7.2 ) Pub Date : 2020-03-25 , DOI: 10.1016/j.knosys.2020.105785
Martin Štěpnička , Nhung Cao , Michal Burda , Aleš Dolný , Stanislav Ožana

Fuzzy relational calculus, and especially, the compositions of fuzzy relations, had a great impact on many theoretical as well as practical areas of fuzzy modeling and it attracted numerous researchers. Recently, the compositions had been extended in distinct directions including the incorporation of excluding features or the direct use of generalized quantifiers instead of the standard ones. This article provides an investigation of an extension that is mathematically similarly constructed to the concept of excluding features although from the semantic point of view it is opposite. In particular, we introduce the concept of unavoidable features. Formally, the concept is again constructed as conjunctive fusion of an existing fuzzy relational composition with another composition, namely the Bandler-Kohout superproduct, employing a newly defined fuzzy relation of unavoidable features for particular classes. We provide an investigation of mathematical properties of the new concept and we demonstrate the appropriateness of the proposed concept on the classification task. This is provided with help of a real biological classification problems running on a data-sets of dragonflies and amphibians. A significant improvement of the results is emphasizing how strong influence may be provided with simple ideas and concepts fused appropriately together to a more complicated yet still explainable concept.



中文翻译:

模糊关系合成中不可避免特征的概念

模糊关系演算,尤其是模糊关系的组成,对模糊建模的许多理论和实践领域都产生了巨大的影响,并吸引了众多研究人员。近来,组合物已在不同的方向上扩展,包括引入排除特征或直接使用通用量词而不是标准量词。本文提供了对扩展的研究,该扩展在数学上与排除特征的概念相似,尽管从语义的角度而言却相反。特别是,我们介绍了不可避免的功能的概念。正式地,该概念再次被构造为现有模糊关系合成与另一合成即Bandler-Kohout超级产品的结合融合,对特定类别采用不可避免的特征的新定义的模糊关系。我们提供了对新概念的数学性质的调查,并证明了提出的概念在分类任务上的适当性。这是在蜻蜓和两栖动物的数据集上运行的实际生物学分类问题的帮助下提供的。结果的重大改进是强调将简单的思想和概念适当地融合到一个更复杂但仍可解释的概念中,可以提供多么强大的影响力。这是在蜻蜓和两栖动物的数据集上运行的实际生物学分类问题的帮助下提供的。结果的重大改进是强调将简单的思想和概念适当地融合到一个更复杂但仍可解释的概念中,可以提供多么强大的影响力。这是在蜻蜓和两栖动物的数据集上运行的实际生物学分类问题的帮助下提供的。结果的重大改进是强调将简单的思想和概念适当地融合到一个更复杂但仍可解释的概念中,可以提供多么强大的影响力。

更新日期:2020-03-26
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