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模糊扰动算子及其性质研究
引用本文:李群,李秀珍.模糊扰动算子及其性质研究[J].中国石油大学学报(自然科学版),2003,27(3).
作者姓名:李群  李秀珍
作者单位:1. 南京财经大学经济与统计学院,江苏南京,210003;中国社会科学院数量经济与技术研究所,北京,100065
2. 山东建工学院数理系,山东济南,250014
基金项目:国家自然科学基金资助项目 ( 198710 4 9)
摘    要:在扰动模糊子集的基础上提出了两种模糊扰动算子 ,即边界模糊扰动算子 (B+ ,B·)和包含模糊扰动算子(I+ ,I·) ,定义了两种算子下区间值的偏格和格的概念 ,指出了两种运算的直观含义及某些性质

关 键 词:扰动模糊子集  边界模糊扰动算子  包含模糊扰动算子    对偶

Concept and property of fuzzy disturbing operator
LI Qun and LI Xiu,zhen.Concept and property of fuzzy disturbing operator[J].Journal of China University of Petroleum,2003,27(3).
Authors:LI Qun and LI Xiu  zhen
Abstract:Two kinds of fuzzy disturbing operators including boundary fuzzy disturbing operator and inclusion fuzzy disturbing operator were proposed on the disturbing fuzzy sets presented in this paper. The concepts of the around lattice and lattice of interval value with two kinds of operators were defined. The directing signification of two kinds of operations and some properties were proved.
Keywords:disturbing fuzzy set  bond fuzzy disturbing operator  inclusion fuzzy disturbing operator  lattice  dual  
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