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Abstract
In this paper, the notions of (L,M)-fuzzy bornological convergence and separation in (L,M)-fuzzy bornological vector spaces are introduced. Some properties of (L,M)-fuzzy bornological convergence and separation are discussed. The relationships between (L,M)-fuzzy bornologial convergence and separation in (L,M)-fuzzy bornological vector spaces are proposed. Moreover, the relationships of bornological convergence and separation between the framework of (L,M)-fuzzy bornological vector spaces and L-bornological vector spaces are discussed.
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