关于“模糊数的最近的区间近似值”一文的注释

广东工业大学学报 ›› 2007, Vol. 24 ›› Issue (1): 74-76.

关于“模糊数的最近的区间近似值”一文的注释

广东工业大学应用数学学院；广东工业大学机电学院广东广州510090；广东广州510090；

出版日期:2007-02-01 发布日期:2007-02-01
基金资助:
广东省科技计划项目(2004B10101040)

Note on “Nearest Interval Approximation of a Fuzzy Number”

(1.Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China;2.Faculty of Electromechanical Engineering,Guangdong University of Technology,Guangzhou 510090,China)

Online:2007-02-01 Published:2007-02-01

摘要/Abstract

摘要： 本文讨论了P.Grzegorzewski在Fuzzy Sets and Systems杂志上提出的一个有关模糊数区间近似的方法,用实例显示了,这一方法存在着严重的错误.

关键词: 模糊数；区间近似法；清晰集；

Abstract: A method is discussed about the interval approximation of a fuzzy number,published by P.Grzegorzewski in Fuzzy Sets and System.It is demonstrated with examples that there are some serious mistakes in the method.

Key words: fuzzy number； interval approximation； interval set；

李建新；胡刚；. 关于“模糊数的最近的区间近似值”一文的注释[J]. 广东工业大学学报, 2007, 24(1): 74-76.

LI Jian-xin1,HU Gang2. Note on “Nearest Interval Approximation of a Fuzzy Number”[J]. Journal of Guangdong University of Technology, 2007, 24(1): 74-76.

参考文献

[1] S K Pal,D K Dutta Majumder.Fuzzy Mathematical Ap-proach to Pattern Recognition. . 1987

[2] P Grzegorzewski.Nearest interval approximation of a fuzzynumber. Fuzzy Sets and Systems . 2002

[3] K Chakrabarty,R Biswas,S Nanda.Nearest ordinary set of afuzzy set:a rough theoretic construction. Bull PolishAcad Sci . 1998

[4] A.Kaufmann.Introduction to the Theory of Fuzzy Subsets. . 1975

[5] D Dubois,H Prade.Operations on fuzzy numbers. Int jSyst Sci . 1978

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[7] J J Buckley,S Chanas.A fast method of ranking alternativesusing fuzzy numbers. Fuzzy Sets and Systems . 1998

[8] J J Buckley.Ranking alternatives using fuzzy numbers. Fuzzy Sets and Systems . 1985

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