L, M-fuzzy topological groups

Authors:
Hu Zhao;Sheng-gang Li;Gui-xiu Chen
Affiliations:
College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, P.R. China;College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, P.R. China;College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, P.R. China
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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Abstract

Following the idea of L-fuzzy neighborhood system as introduced by F.-G. Shi, and its generalization to L, M-fuzzy neighborhood systems, we introduce the notion of L, M-fuzzy topological group, and obtain various properties, including some results on quotient groups of L, M-fuzzy topological groups. We show that the category of L, M-fuzzy topological groups is topological over the category of groups with respect to the forgetful functor.