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A New Risk Analysis Approach Based on Linguistic-Valued Lattice Implication Algebra

机译:基于语言值格蕴涵代数的风险分析新方法

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摘要

In the framework of the linguistic truthvalued lattice implication algebra, we present a 10-element linguistic-valued lattice implication algebra with linguistic hedges and two antonyms basic words for fuzzy risk analysis. The proposed method better expresses and handles both comparable and incomparable information in risk analysis do-mains. We further discover the operations and special properties of the 10 evaluating linguistic values based on lattice implication algebra. The reasoning and operation are directly acted by the evaluating linguistic values in the risk analysis process. An illustration example shows the proposed approach seems more effective for risk analysis under a fuzzy environment with both comparable and incomparable linguistic values.
机译:在语言真值格蕴涵代数的框架中,我们提出了一个具有语言对冲和两个反义词基本词的10元素语言值格蕴涵代数,用于模糊风险分析。所提出的方法可以更好地表达和处理风险分析领域中可比较和不可比拟的信息。我们进一步发现了基于格蕴涵代数的10种评估语言值的运算和特殊性质。在风险分析过程中,语言价值的评估直接作用于推理和操作。举例说明,所提出的方法对于具有可比和不可比的语言价值的模糊环境下的风险分析似乎更为有效。

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