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- W4324291213 abstract "In this paper, we define LGc-fuzzy Euclidean topological space with countable basis, which L denotes a complete distributive lattice and we show that each LGc-fuzzy open covering of this space can be refined to an LGc-fuzzy open covering that is locally finite. We introduce C∞ LG-fuzzy manifold (X, Tc), with countable basis of LG-fuzzy open sets which X is an L-fuzzy subset of a crisp set M and T : LMX → L, is an L-gradation of openness on X. We prove that for any LG-fuzzy topological manifold (X,T), there exists an LG-fuzzy exhaustion. We prove LG-Urysohn lemma and also existence of LG-partitions of unity on every LG-fuzzy topological manifold." @default.
- W4324291213 created "2023-03-16" @default.
- W4324291213 creator A5083164803 @default.
- W4324291213 date "2022-12-30" @default.
- W4324291213 modified "2023-10-07" @default.
- W4324291213 title "LG-FUZZY PARTITION OF UNITY" @default.
- W4324291213 doi "https://doi.org/10.56827/jrsmms.2022.1001.11" @default.
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