Affiliations: [a] School of Mathematics and Statistics, Yulin University, Yulin, P.R. China | [b] School of Science, Xi’an Polytechnic University, Xi’an, P.R. China
Correspondence:
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Corresponding author. Xiao-Yan Gao, School of Mathematics and Statistics, Yulin University, Yulin 719000, P.R. China. E-mail: [email protected].
Abstract: In this paper, the concept of compactness measures of (L, M)-fuzzy Q-convergence spaces is introduced. It is used to define compactness measures of (L, M)-fuzzy topological spaces and pointwise (L, M)-fuzzy quasi-uniform spaces. It is shown that the concept of compactness measures satisfies the lattice-valued Tychonoff theorem in the framework of (L, M)-fuzzy Q-convergence spaces and (L, M)-fuzzy topological spaces. Also, it is proved that the compactness measures of a pointwise (L, M)-fuzzy quasi-uniform space is equal to the compactness measures of its induced (L, M)-fuzzy topological space.
