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相容粗糙模糊集模型 被引量:5

Tolerance rough fuzzy set model
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摘要 在粗糙模糊集模型中,被逼近的目标概念是一个模糊集,使用的知识是等价关系,即描述对象的属性是离散值的。但在很多实际应用中,描述对象的属性是实数值的。针对这一问题,将粗糙模糊集模型中的等价关系推广为相容关系,提出了相容粗糙模糊集模型。当相容关系退化为等价关系时,相容粗糙模糊集模型即为粗糙模糊集模型。相容粗糙模糊集模型扩展了粗糙模糊集的应用范围。 In rough fuzzy set model,the approached target concept is a fuzzy set,the knowledge used for approaching the target concept is equivalence relation,in other words,the attributes used for representing the object is of discrete value.However,in many practical applications,the attributes used for representing the object is of real value.In order to deal with this problem,the equivalence relation in rough fuzzy set model is extended to tolerance relation;the toler-ance rough fuzzy set model is proposed.When the tolerance relation is degenerated into equivalence relation,the toler-ance rough fuzzy set model becomes the rough fuzzy set model;tolerance rough fuzzy set model extends the application of rough fuzzy set.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2014年第8期73-79,共7页 Journal of Shandong University(Natural Science)
基金 国家自然科学基金资助项目(61170040 71371063) 河北省自然科学基金资助项目(F2013201110 F2013201220) 河北省高等学校科学研究重点项目(ZD20131028) 河北省教育厅资助项目(Z2012101)
关键词 粗糙集 模糊集 粗糙模糊集 相容粗糙集 相容粗糙模糊集 rough set fuzzy set rough fuzzy set tolerance rough set tolerance rough fuzzy set
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