数学季刊 ›› 1997, Vol. 12 ›› Issue (2): 70-74.

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完备格TVS与LFTVS间的两个生成映射ωL , lL

  

  1. Department   of   Basic,Nanjing   Power   Institute,Jiangsu,Nanjing,210042

  • 收稿日期:1997-04-17 出版日期:1997-06-30 发布日期:2024-12-04
  • 基金资助:
     Project supported by the Natural Science Foundation of China.

Two Generating Mappings ωL and lL in Complete Lattices TVS and LFTVS

  1. Department   of   Basic,Nanjing   Power   Institute,Jiangsu,Nanjing,210042
  • Received:1997-04-17 Online:1997-06-30 Published:2024-12-04
  • Supported by:
     Project supported by the Natural Science Foundation of China.

摘要: In this paper,we give a new decomposition theorem of L-fuzzy sets. Then we use this theorem to discuss the relations between the crisp topological vector spaces and the L-fuzzy topological vector spaces[1],and we obtain some interesting properties. 

关键词: way below, decomposition theorem, R-neighborhood base, L-ftvs

Abstract: In this paper,we give a new decomposition theorem of L-fuzzy sets. Then we use this theorem to discuss the relations between the crisp topological vector spaces and the L-fuzzy topological vector spaces[1],and we obtain some interesting properties. 

Key words: way below, decomposition theorem, R-neighborhood base, L-ftvs

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