Ditopological texture spaces and intuitionistic sets
Fuzzy Sets and Systems - Special issue on topics of the mathematics of fuzzy objects
A Categorical Semantics of Quantum Protocols
LICS '04 Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science
Dagger Compact Closed Categories and Completely Positive Maps
Electronic Notes in Theoretical Computer Science (ENTCS)
The Category RSC of I-Rough Sets
FSKD '08 Proceedings of the 2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery - Volume 01
Partially Ordered Monads for Monadic Topologies, Rough Sets and Kleene Algebras
Electronic Notes in Theoretical Computer Science (ENTCS)
A Categorial Basis for Granular Computing
RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Textural approach to generalized rough sets based on relations
Information Sciences: an International Journal
RSCTC'06 Proceedings of the 5th international conference on Rough Sets and Current Trends in Computing
Textures and covering based rough sets
Information Sciences: an International Journal
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In this paper, we define a category R-APR whose objects are sets and morphisms are the pairs of rough set approximation operators. We show that R-APR is isomorphic to a full subcategory of the category cdrTex whose objects are complemented textures and morphisms are complemented direlations. Therefore, cdrTex may be regarded as an abstract model for the study of rough set theory. On the other hand, dagger symmetric monoidal categories play a central role in the abstract quantum mechanics. Here, we show that R-APR and cdrTex are also dagger symmetric monoidal categories.