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Initial L-fuzzy quasi-uniform structures
Jung Mi Ko,Yong Chan Kim 한국지능시스템학회 2005 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.5 No.3
We prove the existence of initial L-fuzzy (quasi-)uniform structures. From this fact, we can define subspaces and products of L-fuzzy (quasi-)uniform spaces.
Yue, Yue-Li,Shi, Fu-Gui Korean Mathematical Society 2007 대한수학회지 Vol.44 No.6
The aim of this paper is to study L-fuzzy uniformizable spaces. A new kind of topological fuzzy remote neighborhood system is defined and used for investigating the relationship between L-fuzzy co-topology and L-fuzzy (quasi-)uniformity. It is showed that this fuzzy remote neighborhood system is different from that in [23] when $\mathcal{U}$ is an L-fuzzy quasi-uniformity and they will be coincident when $\mathcal{U}$ is an L-fuzzy uniformity. It is also showed that each L-fuzzy co-topological space is L-fuzzy quasi-uniformizable.
Initial L-fuzzy quasi-uniform structures
Ko Jung-Mi,Kim Yong-Chan Korean Institute of Intelligent Systems 2005 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.5 No.3
We prove the existence of initial L-fuzzy (quasi-)uniform structures. From this fact, we can define subspaces and products of L-fuzzy (quasi-)uniform spaces.