L-fuzzy simplicial homology generalizes simplicial homology to L-fuzzy subcomplexes by assigning values from a completely distributive lattice L to simplices and deriving associated homology modules.
Weighted persistent homology.The Rocky Mountain Journal of Mathematics, 48(8):2661–2687, 2018
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L-fuzzy simplicial homology
L-fuzzy simplicial homology generalizes simplicial homology to L-fuzzy subcomplexes by assigning values from a completely distributive lattice L to simplices and deriving associated homology modules.