Interior and closure operators on texture spaces—I: Basic concepts and C˘ech closure operators☆
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Cited by (14)
Textural dependency and concept lattices
2021, International Journal of Approximate ReasoningOn the reflective and coreflective subcategory of stratified L-Čech closure spaces
2020, Fuzzy Sets and SystemsCitation Excerpt :Write L-STop for the category of stratified L-co-topological spaces and continuous maps. Readers can refer to [3,4,18] for more on L-Čech closure operators and to [2,7,11,37] for more on Čech closure operators. Write L-CC for the category of L-Čech closure spaces and continuous maps; and write L-SCC for the full subcategory of L-CC consisting of stratified L-Čech closure spaces.
Textures and Rough Sets
2017, Handbook of Neural ComputationDual closure operators and their applications
2015, Journal of AlgebraCitation Excerpt :Starting with [51], in recent years several authors have investigated categorical interior operators, with the formation of the interior of a subspace of a topological space providing the role model; see [9,10,31,19,37].
Interior and neighbourhood
2014, Topology and its ApplicationsCitation Excerpt :Categorical interior operators were introduced by Vorster in [17] and subsequently studied in [1,2] and [12]. They have recently been applied to the study of fuzzy spaces [11] and texture spaces [4]. On the other hand, neighbourhoods with respect to closure operators were introduced in [8] to study convergence on categories.
Textures and covering based rough sets
2012, Information Sciences
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This work has been supported by (TÜBİTAK) (The Turkish Scientific and Technological Research Organization) under the project TBAG 107T310.