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Investigations of fuzzy implications satisfying generalized hypothetical syllogism

机译：满足广义假设三段论的模糊含意调查

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Generalized hypothetical syllogism (GHS) is one of the fuzzy inference rules that plays a central role in the selection of suitable fuzzy implications for a specific task. Because of the important role played by the classical hypothetical syllogism, in this work, we attempt to investigate the fuzzy implications that do satisfy (GHS). Due to the variety of fuzzy implications and the complexity of the functional equation, we restrict our investigations of fuzzy implications only for those which come from some well known families of fuzzy implications, viz., (S, N)-, R-, QL-, and Yager's families of f-, g-implications. Since there do not exist many fuzzy implications satisfying (GHS) from these families of fuzzy implications, we propose some classes of fuzzy implications and show that every element from these classes satisfies (GHS). Finally, we examine the preservation of (GHS) by some important generating methods of fuzzy implications that exist in the literature. (C) 2016 Elsevier B.V. All rights reserved.
机译：广义假设三段论（GHS）是一种模糊推理规则，在为特定任务选择合适的模糊含义时起着核心作用。由于经典假设三段论起着重要作用，因此在本文中，我们尝试研究确实满足的模糊含义（GHS）。由于模糊含义的多样性和函数方程的复杂性，我们仅对来自某些著名的模糊含义族的模糊含义进行研究，即（S，N）-，R-，QL -和Yager的f-，g-蕴涵族。由于不存在来自这些模糊含义族的许多模糊含义令人满意（GHS），因此我们提出了一些模糊含义类别，并表明这些类别中的每个元素都满足（GHS）。最后，我们通过文献中存在的一些重要的模糊含义生成方法来检查（GHS）的保存。 （C）2016 Elsevier B.V.保留所有权利。

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