Generalizations of multisets and rough approximations
Generalizations of multisets and rough approximations
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DOI：
10.1002/int.20015
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发表时间：
2004-07
影响因子：
7
通讯作者：
S. Miyamoto
中科院分区：
文献类型：
--
作者：
S. Miyamoto
本文综述了三类多重集的推广。它们是真实的值多集、模糊数值多集和模糊多集。一个家庭的广义多集，其中包括这三类建议。这个族中的广义多重集对于每个对象都有一个平面上闭区域的成员。定义了广义多重集的上、下近似，由此导出了真实的值多重集、模糊数值多重集和模糊多重集的粗糙近似。应用模糊数据库和信息检索的建议。© 2004 Wiley Periodicals，Inc.
Three classes of generalizations of multisets are reviewed. They are real‐valued multisets, fuzzy number–valued multisets, and fuzzy multisets. A family of generalized multisets that includes these three classes is proposed. A generalized multiset in this family has a membership of a closed region on a plane for each object. Upper and lower approximations of the generalized multisets are defined whereby rough approximations of real‐valued multisets, fuzzy number–valued multisets, and fuzzy multisets are derived. Applications to fuzzy databases and information retrieval are suggested. © 2004 Wiley Periodicals, Inc.