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凸模糊映射序列的极限性质

The limiting properties of convex fuzzy mapping sequence
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摘要 为了研究凸模糊映射序列的极限,利用模糊数的定义、模糊数的α水平集以及凸模糊映射的定义、性质,给出了凸模糊映射序列极限的一种新的定义,并在此基础上讨论了它的线性性质和极限性质. Based on the concept of fuzzy numbers and some relative conclusions, the limiting of convex fuzzy mapping sequence is defined. Upon corresponding concepts and lemmas, the linear and limit properties of the new concept are discussed and then some related results are investigated.
出处 《纺织高校基础科学学报》 CAS 2006年第1期7-9,共3页 Basic Sciences Journal of Textile Universities
关键词 模糊数 凸模糊映射 凸模糊映射序列的极限 fuzzy numbers covex fuzzy mapping the limit of convex fuzzy mapping sequence
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参考文献4

  • 1NAGATA Furukawa.Convexity and local Lipschitz continuity of Fuzzy-valued mappings[J].Fuzzy Sets and Systems,1998,93:113-119.
  • 2SYAU Yu -Ru.On convex and concave Fuzzy mappings[J].Fuzzy Sets and Systems,1999,103:163-168.
  • 3SYAU Yu -Ru.Some properties of weakly convex Fuzzy mappings[J].Fuzzy Sets and Systems,2001,123:203-207.
  • 4SYAU Yu -Ru.Closed and convex fuzzy sets[J].Fuzzy Sets and Systems.2000,110:287-291.

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