Fuzzy hyper-topological group

Yu-bin Zhong

pp. 324-330

in: Bing-yuan Cao, Cheng-yi Zhang, Tai-fu Li (eds), Fuzzy information and Engineering I, Berlin, Springer, 2009

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.