A General Model for Transforming Vague Sets into Fuzzy Sets

A General Model for Transforming Vague Sets into Fuzzy Sets
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DOI:
10.1007/978-3-540-87563-5_8
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发表时间:
2006-07
期刊:
Trans. Comput. Sci.
影响因子:
--
通讯作者:
Yong Liu;Guoyin Wang;Lin Feng
Yong Liu;Guoyin Wang;Lin Feng
中科院分区:
其他
文献类型:
--
作者:
Yong Liu;Guoyin Wang;Lin Feng

文献摘要

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分析了Vague集与Fuzzy集之间的关系。提出了一种Vague集到Fuzzy集的通用转换模型。证明了Vague集到Fuzzy集的变换是一种多对一的映射关系。文中还讨论了该转换模型的有效性。建立了Vague集理论与Fuzzy集理论之间的数学关系。
The relationship between vague sets and fuzzy sets are analyzed in this paper. A general model for transforming vague sets into fuzzy sets is proposed. The transformation of a vague set into a fuzzy set is proved to be a many-to-one mapping relation. The validity of this transformation model is also discussed. It establishes a mathematical relationship between the vague set theory and fuzzy set theory.