Numerical Characteristics of Fuzzy Numbers Based on Credibility Measure

被引:0
作者
曾玲
机构
[1] Department of Computational Sciences and Mathematics Guilin University of Electronic Technology
[2] Guilin Guangxi 541004 China
关键词
fuzzy number; credibility measure; optimistic value; pessimistic value; expected value; variance;
D O I
10.19884/j.1672-5220.2007.02.020
中图分类号
TS107 [纺织品的标准与检验];
学科分类号
082102 ;
摘要
The numerical characteristics of fuzzy numbers include the optimistic value, pessimistic value, expected value, and the variance. We mainly provide the calculation formulae of several numerical characteristics of fuzzy numbers based on credibility measure. Especially, the variance of symmetric fuzzy numbers is formulated, and a super bound for the variance of fuzzy numbers is presented. Meanwhile, some conclusions relative to credibility measure, optimistic and pessimistic values are also given.
引用
收藏
页码:240 / 243 +247
页数:5
相关论文
共 10 条
  • [1] B Liu,Y K Liu.Expected Value Operator of Fuzzy Variable and Fuzzy Expected Value Models. IEEE Transactions on Fuzzy Systems . 2002
  • [2] A Kauf mann.Introduction to the Theory of Fuzzy Subsets. . 1975
  • [3] B Liu.Theory and Practice of Uncertain Programming. . 2002
  • [4] D Dubois,H Prade.The Mean Value of a Fuzzy Number. Fuzzy Sets and Systems . 1987
  • [5] A Gonzalez.A Study of Ranking Function Approach Through Mean Values. Fuzzy Sets and Systems . 1990
  • [6] B Liu.Uncertain Theory:an Introduction to Its Axiomatic Foundations. . 2004
  • [7] D Dubois,H Prade.Fuzzy Sets and Systems:Theory and Applications. . 1980
  • [8] L A Zadeh.Fuzzy Sets as a Basis for a Theory of Possibility. Fuzzy Sets and Systems . 1978
  • [9] L A Zadeh.Fuzzy Sets. Infor mation and Control Systems . 1965
  • [10] S Nahmias.Fuzzy Variables. Fuzzy Sets and Systems . 1978