基于Hausdorff测度直觉模糊数距离度量的直觉模糊数序列极限研究
|
摘要
为了更深入地研究直觉模糊理论,构建直觉模糊数序列极限分析模型,在直觉模糊数、直觉模糊距离度量研究探讨的基础上给出了基于Hausdorff测度直觉模糊数距离度量的直觉模糊数序列的定义并对其极限及性质进行了重点研究,对直觉模糊数序列分析理论的研究具有重要的理论意义.
In this study,On the research development of intuitionistic fuzzy number and intuitionistic fuzzy distance measurement,the intuitionistic fuzzy number sequence based on hausdorff measure intuitionistic fuzzy number distance measurement is defined,the limit and habitude of the intuitionistic fuzzy number sequence are discussed detailedly,for further studying the intuitive fuzzy theory and conceiving the theoretical model of the intuitionistic fuzzy number sequence.The study is of significance in theoretical analysis of intuitive fuzzy number sequence.
In this study,On the research development of intuitionistic fuzzy number and intuitionistic fuzzy distance measurement,the intuitionistic fuzzy number sequence based on hausdorff measure intuitionistic fuzzy number distance measurement is defined,the limit and habitude of the intuitionistic fuzzy number sequence are discussed detailedly,for further studying the intuitive fuzzy theory and conceiving the theoretical model of the intuitionistic fuzzy number sequence.The study is of significance in theoretical analysis of intuitive fuzzy number sequence.
引文
[1]Atanassov K T.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96.
[2]岳中亮.基于直觉模糊集的城市环境质量模糊综合评判[J].数学的实践与认识,2008,38(8):51-58
[3]李续武,李晓漫.直觉模糊熵在雷达目标识别中的应用[J].航空计算技术,2007,37(4):27-29.
[4]赖晓燕.基于直觉模糊信息的课堂教学质量评价[J].福建农林大学学报(自然科学版),2010,39(3):330-333.
[5]刘蜀,李登峰.空中目标类型识别的直觉模糊集方法[J].火力与指挥控制,2010,35(10):131-136.
[6]王坚强,张忠.基于直觉模糊数的信息不完全的多准则规划方法[J].控制与决策,2008,23(10):1145-1148.
[7]Wang J Q.Survey on fuzzy multi-criteria decision-making approach[J].Control and Decision,2008,23(6):601-606.
[8]刘自新,张成,冯恩民.凸直觉模糊映射[J].模糊系统与数学,2007,21(1):82-87.
[9]崔宝珍,曾文艺.基于Hausdroff距离和L_p度量的直觉模糊集合贴近度的注记[J].模糊系统与数学,2009,23(3):122-126.
[10]曹俊峰,方锦暄.关于模糊数空间上两种度量的注记[J].模糊系统与数学,2010,24(4):140-145.
[11]樊雷.雷英杰.直觉模糊统计判决与决策[J].控制与决策,2011,26(3):357-362.
[12]袁学海,李洪兴,孙凯彪.直觉模糊集和区间值模糊集的截集、分解定理和表现定理[J].中国科学,2009,39(9):933-945.
[2]岳中亮.基于直觉模糊集的城市环境质量模糊综合评判[J].数学的实践与认识,2008,38(8):51-58
[3]李续武,李晓漫.直觉模糊熵在雷达目标识别中的应用[J].航空计算技术,2007,37(4):27-29.
[4]赖晓燕.基于直觉模糊信息的课堂教学质量评价[J].福建农林大学学报(自然科学版),2010,39(3):330-333.
[5]刘蜀,李登峰.空中目标类型识别的直觉模糊集方法[J].火力与指挥控制,2010,35(10):131-136.
[6]王坚强,张忠.基于直觉模糊数的信息不完全的多准则规划方法[J].控制与决策,2008,23(10):1145-1148.
[7]Wang J Q.Survey on fuzzy multi-criteria decision-making approach[J].Control and Decision,2008,23(6):601-606.
[8]刘自新,张成,冯恩民.凸直觉模糊映射[J].模糊系统与数学,2007,21(1):82-87.
[9]崔宝珍,曾文艺.基于Hausdroff距离和L_p度量的直觉模糊集合贴近度的注记[J].模糊系统与数学,2009,23(3):122-126.
[10]曹俊峰,方锦暄.关于模糊数空间上两种度量的注记[J].模糊系统与数学,2010,24(4):140-145.
[11]樊雷.雷英杰.直觉模糊统计判决与决策[J].控制与决策,2011,26(3):357-362.
[12]袁学海,李洪兴,孙凯彪.直觉模糊集和区间值模糊集的截集、分解定理和表现定理[J].中国科学,2009,39(9):933-945.