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This book is intended to define and analyse the geometrical and topological properties among the digital subsets of the digital images such as convexity, convex envelopes, continuity, connectedness and r-simplexes with the background of intuitionistic fuzzy logic. As an example automated detection of diabetic retinopathy using intuitionistic fuzzy digital convex envelope segmentation algorithm is propounded. As the co-extension of the above notions, some of the maps between the digital images such as continuous maps, connected maps, C-maps and enfolding maps are presented and investigated with intuitionistic fuzzy logic. Finally, intuitionistic fuzzy digital topology is framed up. Under this notion, CS - filtered spaces and Hausdorff CS - filtered spaces are instigated.
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This book is intended to define and analyse the geometrical and topological properties among the digital subsets of the digital images such as convexity, convex envelopes, continuity, connectedness and r-simplexes with the background of intuitionistic fuzzy logic. As an example automated detection of diabetic retinopathy using intuitionistic fuzzy digital convex envelope segmentation algorithm is propounded. As the co-extension of the above notions, some of the maps between the digital images such as continuous maps, connected maps, C-maps and enfolding maps are presented and investigated with intuitionistic fuzzy logic. Finally, intuitionistic fuzzy digital topology is framed up. Under this notion, CS - filtered spaces and Hausdorff CS - filtered spaces are instigated.