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(2009) Fuzzy information and Engineering I, Dordrecht, Springer.
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.
Publication details
DOI: 10.1007/978-3-540-88914-4_40
Full citation:
Zhong, Y. (2009)., Fuzzy hyper-topological group, in B. Cao, C. Zhang & T. Li (eds.), Fuzzy information and Engineering I, Dordrecht, Springer, pp. 324-330.
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