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The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets

机译:基于软模糊粗糙集的模糊软集参数约简

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Fuzzy set theory, rough set theory, and soft set theory are three effective mathematical tools for dealing with uncertainties and have many wide applications both in theory and practise. Meng et al. (2011) introduced the notion of soft fuzzy rough sets by combining fuzzy sets, rough sets, and soft sets all together. The aim of this paper is to study the parameter reduction of fuzzy soft sets based on soft fuzzy rough approximation operators. We propose some concepts and conditions for two fuzzy soft sets to generate the same lower soft fuzzy rough approximation operators and the same upper soft fuzzy rough approximation operators. The concept of reduct of a fuzzy soft set is introduced and the procedure to find a reduct for a fuzzy soft set is given. Furthermore, the concept of exclusion of a fuzzy soft set is introduced and the procedure to find an exclusion for a fuzzy soft set is given.
机译:模糊集理论,粗糙集理论和软集理论是处理不确定性的三种有效数学工具,在理论和实践上都有广泛的应用。孟等人。 (2011年)通过将模糊集,粗糙集和软集结合在一起,引入了软模糊粗糙集的概念。本文的目的是研究基于软模糊粗糙近似算子的模糊软集的参数约简。我们为两个模糊软集提出一些概念和条件,以生成相同的较低的软模糊粗略近似算符和相同的较高的软模糊粗略近似算符。介绍了模糊软集约简的概念,给出了寻找模糊软集约简的过程。此外,介绍了模糊软集排除的概念,并给出了寻找模糊软集排除的过程。

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