检索规则说明:AND代表“并且”;OR代表“或者”;NOT代表“不包含”;(注意必须大写,运算符两边需空一格)
检 索 范 例 :范例一: (K=图书馆学 OR K=情报学) AND A=范并思 范例二:J=计算机应用与软件 AND (U=C++ OR U=Basic) NOT M=Visual
机构地区:[1]辽宁工程技术大学理学院,辽宁阜新123000
出 处:《模糊系统与数学》2014年第5期93-102,共10页Fuzzy Systems and Mathematics
基 金:教育部高校博士学科点专项科研基金资助项目(20102121110002)
摘 要:针对模糊数度量中不同隶属程度对度量的贡献程度应不同的客观事实,给出两类模糊数的结构元加权度量。首先,在区间[-1,1]上的同序标准单调有界函数类B[-1,1]上定义两类结构元加权度量dH、dp,分别讨论了这两类度量空间的完备性和可分性;其次,利用正则模糊结构元导出的模糊泛函,给出一种由B[-1,1]上度量诱导有界闭模糊数全体上的度量方法,进而给出由dH、dp诱导的两类模糊数结构元加权度量dNH、dNp,并分析了两类诱导的模糊数度量空间的完备性和可分性;最后,给出了dNH、dNp与传统方法定义的模糊数度量的区别与联系。For the objective fact that elements with different membership degrees should have different contribution to the metric measure between fuzzy numbers, this paper presents two types of fuzzy number metrics weighted by structured element. Firstly, we define two kinds of metrics weighted by structured element dH,dp on the family (B [-1, 1]) of all the same monotone and standard bounded functions on closed interval [-1,1], and discuss the completeness and separability of those two metric spaces. Next, using the fuzzy functional induced by normal fuzzy structured element, we give out a method that the metric of the closed bounded fuzzy number space is induced by the metric on function space B[-1,1]. Furthermore, two types of fuzzy number metrics dNH,dNp weighted by structured element which both are induced by dNH,dNp are presented, and analyze completeness and separability of the two induced fuzzy number metric spaces. Lastly, the difference and relationship between dNH,dNp and the metrics defined by traditional method are shown.
关 键 词:模糊数 模糊结构元 减弱函数 E-Hausdorff度量 E-Lp度量
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在链接到云南高校图书馆文献保障联盟下载...
云南高校图书馆联盟文献共享服务平台 版权所有©
您的IP:216.73.216.117