Shadowed sets of dynamic fuzzy sets

Shadowed sets of dynamic fuzzy sets
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动态模糊集的阴影集

DOI:
10.1007/s41066-016-0029-y
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发表时间:
2016-09
期刊:
影响因子:
5.5
通讯作者:
Guangming Lang
Guangming Lang
中科院分区:
--
文献类型:
--
作者:
Mingjie Cai;Qingguo Li;Guangming Lang

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在实际应用中,经常会遇到隶属度随时间变化的模糊集。本文用阴影集的方法来解释动态模糊集。我们提供了一个分析的解决方案来计算对阈值搜索的框架中的阴影集的不确定性的平衡。随后,我们构建了基于误差的三路逼近的阴影集,并提出了一种替代的决策理论公式计算的阈值对。最后,我们用几个例子来说明如何计算阈值作出决策的动态损失函数。
In practical situations, fuzzy sets with time-varying membership degrees are frequently encountered. In this paper, we interpret dynamic fuzzy sets by means of shadowed sets. We provide an analytic solution to computing the pair of thresholds by searching for a balance of uncertainty in the framework of shadowed sets. Subsequently, we construct errors-based three-way approximations of shadowed sets and present an alternative decision-theoretic formulation for calculating the pair of thresholds. Finally, we employ several examples to illustrate how to calculate thresholds for making a decision by means of dynamic loss functions.
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