...
首页> 外文期刊>Advances in Mathematical Physics >Similarity Measures of Sequence of Fuzzy Numbers and Fuzzy Risk Analysis
【24h】

Similarity Measures of Sequence of Fuzzy Numbers and Fuzzy Risk Analysis

机译:模糊数序列的相似度量和模糊风险分析

获取原文
   

获取外文期刊封面封底 >>

       

摘要

We present the methods to evaluate the similarity measures between sequence of triangular fuzzy numbers for making contributions to fuzzy risk analysis. Firstly, we calculate the COG (center of gravity) points of sequence of triangular fuzzy numbers. After, we present the methods to measure the degree of similarity between sequence of triangular fuzzy numbers. In addition, we give an example to compare the methods mentioned in the text. Furthermore, in this paper, we deal with the(t1,t2)type fuzzy number. By defining the algebraic operations on the(t1,t2)type fuzzy numbers we can solve the equations in the formx+u(t1,t2)=v(t1,t2), whereu(t1,t2)andv(t1,t2)are fuzzy number. By this way, we can build an algebraic structure on fuzzy numbers. Additionally, the generalized difference sequence spaces of triangular fuzzy numbers[l∞(Ft)]B(r^,s^),[c(Ft)]B(r^,s^), and[c0(Ft)]B(r^,s^), consisting of all sequencesu∗=(u(t1,t2)k)such thatBr^,s^u∗is in the spacesl∞(Ft),c(Ft), andc0(Ft), have been constructed, respectively. Furthermore, some classes of matrix transformations from the spacecFtB(r^,s^)andμ(Ft)toμ(Ft)andcFtB(r^,s^)are characterized, respectively, whereμ(Ft)is any sequence space.
机译:我们提出了评估三角模糊数序列之间的相似性度量的方法,从而为模糊风险分析做出了贡献。首先,我们计算三角模糊数序列的COG(重心)点。之后,我们提出了测量三角模糊数序列之间相似度的方法。另外,我们举一个例子来比较本文中提到的方法。此外,在本文中,我们处理(t1,t2)型模糊数。通过定义(t1,t2)型模糊数的代数运算,我们可以求解形式为x + u(t1,t2)= v(t1,t2)的方程,其中u(t1,t2)和v(t1,t2)是模糊数。这样,我们可以在模糊数上建立代数结构。另外,三角模糊数[l∞(Ft)] B(r ^,s ^),[c(Ft)] B(r ^,s ^)和[c0(Ft)] B的广义差分序列空间(r ^,s ^),由所有序列u ∗ =(u(t1,t2)k)组成,使得Br ^,s ^ u ∗在空间l∞(Ft),c(Ft)和c0(Ft)中,已分别建造。此外,分别描述了从空间cFtB(r ^,s ^)和μ(Ft)到μ(Ft)和cFtB(r ^,s ^)的几类矩阵变换,其中μ(Ft)是任何序列空间。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号