Variable and Weighted Granularity "Logic Disjunction" Degree Multi Granularity Rough Set

Xiaoyan Wang, Tao Zhu, Yuanxia Shen
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Abstract

For incomplete information systems, the existing variable multi granularity rough set and weighted multi granularity rough set are extended, and a variable and weighted granularity "logic disjunction" degree multi granularity rough set based on limited tolerance relation is proposed. The properties and relations of variable and weighted granularity "logic disjunction" degree multi granularity rough set, variable degree multi granularity rough set and weighted degree multi granularity rough set are studied. Finally, the effectiveness of the model and related properties is verified by example analysis and experiments.
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可变和加权粒度“逻辑析取”度多粒度粗糙集
针对不完全信息系统,对已有的变多粒度粗集和加权多粒度粗集进行了扩展,提出了一种基于有限容差关系的变和加权粒度“逻辑断”度多粒度粗集。研究了变粒度和加权粒度“逻辑析取”度多粒度粗集、变粒度多粒度粗集和加权粒度多粒度粗集的性质和关系。最后,通过实例分析和实验验证了模型的有效性和相关特性。
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