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Fuzzy Hyper-Topological Group

  • Yu-bin Zhong
Conference paper
Part of the Advances in Soft Computing book series (AINSC, volume 54)

Abstract

Based on the intuitive idea of convergent, this paper has proposed a new hypertopological and upgraded two mathematic structure of topological group to fuzzy power set respectively. And then we proved that the multiplication operation and contradictory operation are continuous in hyper-topology after the two kinds of mathematical structure of topological group are upgraded to the new fuzzy power set. Some basic results about Fuzzy Hyper-Topological Group are obtained, and finished the unprecedented work that upgrade topological group to fuzzy power set.

Keywords

Upgrade hyper-topology hyper-group hyper-topological group Fuzzy hyper-topological group 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Yu-bin Zhong
    • 1
  1. 1.School of Mathematics and Information SciencesGuangzhou UniversityGuangzhouP.R. China

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