Measures of compactness in (L, M)-fuzzy Q-convergence spaces

摘要

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.