The lower and upper approximations in a fuzzy group
Information Sciences: an International Journal
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Information Sciences—Informatics and Computer Science: An International Journal
Rough set theory applied to (fuzzy) ideal theory
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Information Sciences—Informatics and Computer Science: An International Journal
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Information Sciences: an International Journal
(θ,T)-fuzzy rough approximation operators and the TL-fuzzy rough ideals on a ring
Information Sciences: an International Journal
Information Sciences: an International Journal
Generalized rough sets over fuzzy lattices
Information Sciences: an International Journal
The lower and upper approximations in a quotient hypermodule with respect to fuzzy sets
Information Sciences: an International Journal
Axiomatic systems for rough sets and fuzzy rough sets
International Journal of Approximate Reasoning
A short note on algebraic T-rough sets
Information Sciences: an International Journal
Information Sciences: an International Journal
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Rough operations on Boolean algebras
Information Sciences: an International Journal
On the structure of generalized rough sets
Information Sciences: an International Journal
The minimization of axiom sets characterizing generalized approximation operators
Information Sciences: an International Journal
Rough prime ideals and rough fuzzy prime ideals in semigroups
Information Sciences: an International Journal
Generalized lower and upper approximations in a ring
Information Sciences: an International Journal
Topology vs generalized rough sets
International Journal of Approximate Reasoning
Covering rough sets based on neighborhoods: An approach without using neighborhoods
International Journal of Approximate Reasoning
Some mathematical structures of generalized rough sets in infinite universes of discourse
Transactions on rough sets XIII
Axiomatic systems of generalized rough sets
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Nearness approximation space based on axiomatic fuzzy sets
International Journal of Approximate Reasoning
Algebraic approach to generalized rough sets
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Information Sciences: an International Journal
Roughness based on fuzzy ideals
Information Sciences: an International Journal
Generalized fuzzy rough approximation operators determined by fuzzy implicators
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
A categorical representation of algebraic domains based on variations of rough approximable concepts
International Journal of Approximate Reasoning
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Axiomatic approaches to study approximation operators are one of the primary directions for the investigation of rough set theory. In this paper, we provide some axiomatic systems of lower and upper approximation operators in rough set theory. We also apply the axiomatic systems of generalized rough sets for definitions of generalized lower and upper approximations with respect to an ideal of a ring and discuss some of their significant properties.