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关于k阶模糊关系的直觉模糊粗糙集
引用本文:汤小江.关于k阶模糊关系的直觉模糊粗糙集[J].漳州师院学报,2010(4):19-23.
作者姓名:汤小江
作者单位:漳州师范学院数学与信息科学系,福建漳州363000
基金项目:国家自然科学基金资助项目(10971185;10971186;11061004)
摘    要:本文基于三角模研究了k阶模糊关系下的直觉模糊粗糙集,通过k阶模糊关系定义了近似算子及其性质.

关 键 词:模糊集  直觉模糊集  三角模  k阶模糊关系  直觉模糊近似算子

Intuitionistic Fuzzy Rough Sets Based on the k-step Fuzzy Relations
TANG Xiao-jiang.Intuitionistic Fuzzy Rough Sets Based on the k-step Fuzzy Relations[J].Journal of ZhangZhou Teachers College(Philosophy & Social Sciences),2010(4):19-23.
Authors:TANG Xiao-jiang
Institution:TANG Xiao-jiang (Department of Mathematics and Information Science,Zhangzhou Normal University,Zhangzhou,Fujian 363000,China)
Abstract:In this paper,a kind of intuitionistic fuzzy(IF) rough sets based on the the k-step fuzzy relations is defined.Basic properties of the intuitionistic fuzzy rough approximation operators are then discussed in the case of reflexive,symmetric and transtitive relations.Different classes of IF rough set algebra are obtained from different types of fuzzy relations.
Keywords:Intuitionistic fuzzy sets  Intuitionistic fuzzy rough sets  the k-step fuzzy relations
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