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超盒粒计算的模糊格代数系统

Liu Hongbing,Che Yajun,Zhou Wenyong,Zhang Jijun

Journal of Xinyang Normal University(Natural Science Edition)（2013）

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Abstract
将粒表示为空间中的超盒,该超盒粒是由起点和终点组成的向量,设计超盒粒之间的合并和分解算子,构造不同粒度的超盒粒;引入正评价函数度量超盒粒之间的模糊包含关系,构造由超盒粒集、模糊包含度、合并算子和分解算子组成的超盒粒代数系统,并证明其是模糊格.该模糊格能较好地指导粒计算算法的设计.
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Key words
union operator,fuzzy inclusion measure,hyperbox granule,fuzzy lattice,decomposition operator
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