摘要
给出了G单位区间[0,1]的定义并在其上引入了元素间的可分度的概念,讨论了其基本性质,并在此定义的基础上确定了一个度量ρ,从而([0,1],ρ)成为一个度量空间(文中称“G单位逻辑度量空间”),并对G单位逻辑度量空间的性质及其结构进行了详尽的讨论,并得到一些好的结果.最后,在MV单位区间上引入了类似ρ的一个度量ρ,′并证明了([0,1],ρ′)是通常度量空间.
The concept of G unit interval and the definition of separable degree between elements on G unit interval are given, and some properties are discussed. Based on this concept,it determined a metric p,and（ [0,1 ], p） becomes a metric space （ It is called G unit logical metric space）. In this paper, the properties and structure of G unit logical metric space are discussed in detail, and get some good results. At last, the similar metric p＇ is given on MV unit interval,and it＇s proved that p＇ is the usual metric.
出处
《南阳师范学院学报》
CAS
2007年第6期12-14,54,共4页
Journal of Nanyang Normal University
基金
国家自然科学基金(No.10471083)
陕西师范大学重点科研基金(No.995130)
陕西师范大学2007年研究生培养创新基金(2007CXS017)
