Ditopological texture spaces and intuitionistic sets
Fuzzy Sets and Systems - Special issue on topics of the mathematics of fuzzy objects
Fuzzy sets as texture spaces: I. Representation theorems
Fuzzy Sets and Systems
Approximations and Rough Sets Based on Tolerances
RSCTC '00 Revised Papers from the Second International Conference on Rough Sets and Current Trends in Computing
Fuzzy Sets and Systems
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
A note on definability and approximations
Transactions on rough sets VII
Textures and covering based rough sets
Information Sciences: an International Journal
Fundamenta Informaticae - Advances in Rough Set Theory
On Some Mathematical Structures of T-Fuzzy Rough Set Algebras in Infinite Universes of Discourse
Fundamenta Informaticae - Advances in Rough Set Theory
Generalization of Pawlak's rough approximation spaces by using δβ-open sets
International Journal of Approximate Reasoning
Axiomatic characterizations of dual concept lattices
International Journal of Approximate Reasoning
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This paper aims to give a new perspective for definability in rough set theory. First, a counterpart of definability is introduced in textural approximation spaces. Then a complete field of sets for texture spaces is defined and using textural arguments, some new results are obtained for rough sets. It is shown that definability can be also discussed in terms of a complete field of fuzzy sets on a fuzzy lattice for the various fuzzy approximation spaces. It is also given a partial affirmative answer to an open problem posed by Wei-Zhi Wu in On some mathematical structures of T-fuzzy rough set algebras in infinite universes of discourse in Fundamenta Informaticae 108 (3-4) 2011 337-369.