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  

The Study for Limit of Intuitionistic Fuzzy Number Sequence Based on Hausdorff Measure Distance Measurement

作　　者：王睿[1] 雷英杰[1] 郑寇全[2] 王毅[1] 

机构地区：[1]空军工程大学防空反导学院 [2]中国人民解放军68331部队

出　　处：《数学的实践与认识》2015年第19期216-222,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金"直觉模糊集理论及应用研究(60773209)";国家重点实验室基金项目(2012ADL-DW0301)

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.

关 键 词：直觉模糊集 直觉模糊数 距离度量 

分 类 号：O159[理学—数学]