模糊逼近算子的公理化表征。2基于粗糙模糊集的情况

H. Thiele
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引用次数: 67

摘要

在前两篇文章中,我们一方面用模态逻辑的经典菱形算子和盒形算子来定义近似算子,另一方面用模糊化菱形算子和盒形算子来定义近似算子在脆集上的公理化刻画,即利用模糊粗糙集的概念。本文是第一篇论文的延续,将经典的菱形算子和盒形算子应用于模糊集,即使用粗糙模糊集的概念。
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On axiomatic characterization of fuzzy approximation operators. II. The rough fuzzy set based case
In two previous papers we have developed axiomatic characterizations of approximation operators which are defined by the classical diamond and box operator of the modal logic on the one hand and are defined by the "fuzzified" diamond and box operator in applying to crisp sets, i.e. by using the concept of fuzzy rough sets on the other hand. The paper presented is a continuation of the first paper mentioned above by applying the classical diamond and box operators to fuzzy sets, i.e. by using the concepts of rough fuzzy sets.
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