Multi-granulation rough set : from crisp to fuzzy case
Multi-granulation rough set : from crisp to fuzzy case
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发表时间：
2011
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通讯作者：
Xibei Yang;Xiaoning Song;Huili Dou;Jingyu Yang
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作者：
Xibei Yang;Xiaoning Song;Huili Dou;Jingyu Yang
多重粒化是对经典粗糙集理论的改进，它使用一族二元关系而不是单个不可分辨关系来构造逼近。本文将多粒度粗糙集方法进一步推广到模糊环境中。利用一类模糊T相似关系分别定义了乐观和悲观模糊粗糙集。然后讨论了这些模糊粗糙集的基本性质。最后，讨论了基于单关系的模糊粗糙集与乐观、悲观多粒度模糊粗糙集之间的关系。2010 AMS分类：94D05，68T37
Multi–granulation is an improvement of the classical rough set theory since it uses a family of binary relations instead of of a single indiscernibility relation for the constructing of approximation. In this paper, the multi–granulation rough set approach is further generalized into fuzzy environment. A family of fuzzy T–similarity relations are used to define the optimistic and pessimistic fuzzy rough sets respectively. The basic properties about these fuzzy rough sets are then discussed. Finally, the relationships among single relation based fuzzy rough set, optimistic and pessimistic multi–granulation fuzzy rough sets are addressed. 2010 AMS Classification: 94D05, 68T37