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225656

Fuzzy hyper-topological group

Yu-bin Zhong

pp. 324-330

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.

Publication details

Published in:

Cao Bing-yuan, Zhang Cheng-yi, Li Tai-fu (2009) Fuzzy information and Engineering I. Dordrecht, Springer.

Pages: 324-330

DOI: 10.1007/978-3-540-88914-4_40

Full citation:

Zhong Yu-bin (2009) „Fuzzy hyper-topological group“, In: B. Cao, C. Zhang & T.-f. Li (eds.), Fuzzy information and Engineering I, Dordrecht, Springer, 324–330.