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.
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© 2009 Springer-Verlag Berlin Heidelberg
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Zhong, Yb. (2009). Fuzzy Hyper-Topological Group. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_40
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DOI: https://doi.org/10.1007/978-3-540-88914-4_40
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88913-7
Online ISBN: 978-3-540-88914-4
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