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Robustness of fuzzy connectives and fuzzy reasoning with respect togeneral divergence measures

机译:关于泛散测度的模糊连接词的鲁棒性和模糊推理

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This paper discusses the robustness of fuzzy connectives and fuzzy reasoning with respect to general divergence measures. First of all, the concept of DF-metric is proposed. Secondly, several DF-metrics are introduced as well as their properties and some inequalities about them. Then a formula of divergence measure composed by DF-metric is presented. Finally, based on the proposed divergence measures, the concept of perturbations of fuzzy sets is extended. According to the extended concept, the perturbation parameters raised by various fuzzy connectives are studied and the perturbations of fuzzy reasoning are also investigated. (C) 2015 Elsevier B.V. All rights reserved.
机译:本文讨论了关于一般散度测度的模糊连接词和模糊推理的鲁棒性。首先,提出了DF度量的概念。其次,介绍了几个DF度量及其性质和一些不等式。然后给出了由DF量度组成的发散测度公式。最后,基于提出的散度测度,扩展了模糊集摄动的概念。根据扩展概念,研究了各种模糊连接词所引起的摄动参数,并研究了模糊推理的摄动。 (C)2015 Elsevier B.V.保留所有权利。

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