The lower and upper approximations in a fuzzy group
Information Sciences: an International Journal
Information Sciences: an International Journal
Interpretations of belief functions in the theory of rough sets
Information Sciences: an International Journal - From rough sets to soft computing
Extensions and intentions in the rough set theory
Information Sciences: an International Journal
Relational interpretations of neighborhood operators and rough set approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
&agr;-RST: a generalization of rough set theory
Information Sciences—Informatics and Computer Science: An International Journal
Rough set theory applied to (fuzzy) ideal theory
Fuzzy Sets and Systems
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
A comparative study of fuzzy rough sets
Fuzzy Sets and Systems
Rough Sets: A Special Case of Interval Structures
RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery
Algebraic Structures of Rough Sets
RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery
On the structure of rough approximations
Fundamenta Informaticae
Information Sciences—Informatics and Computer Science: An International Journal
(θ,T)-fuzzy rough approximation operators and the TL-fuzzy rough ideals on a ring
Information Sciences: an International Journal
A new view of fuzzy hypernear-rings
Information Sciences: an International Journal
Dominance-based rough set approach and knowledge reductions in incomplete ordered information system
Information Sciences: an International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
The lower and upper approximations in a quotient hypermodule with respect to fuzzy sets
Information Sciences: an International Journal
A short note on algebraic T-rough sets
Information Sciences: an International Journal
The lower and upper approximations in a hypergroup
Information Sciences: an International Journal
Roughness in n-ary hypergroups
Information Sciences: an International Journal
Algebraic aspects of generalized approximation spaces
International Journal of Approximate Reasoning
Information Sciences: an International Journal
A short note on some properties of rough groups
Computers & Mathematics with Applications
Generalized lower and upper approximations in a ring
Information Sciences: an International Journal
Pawlak's approximations in Γ-semihypergroups
Computers & Mathematics with Applications
Reference points and roughness
Information Sciences: an International Journal
Information Sciences: an International Journal
The ϑ-lower and T-upper fuzzy rough approximation operators on a semigroup
Information Sciences: an International Journal
Rough set theory applied to lattice theory
Information Sciences: an International Journal
Information Sciences: an International Journal
Some properties of generalized rough sets
Information Sciences: an International Journal
Rough fuzzy hyperideals in ternary semihypergroups
Advances in Fuzzy Systems
Axiomatic systems for rough set-valued homomorphisms of associative rings
International Journal of Approximate Reasoning
Soft Nearness Approximation Spaces
Fundamenta Informaticae - Cognitive Informatics and Computational Intelligence: Theory and Applications
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The theory of rough sets was proposed by Pawlak in 1982. The relations between rough sets and algebraic systems have been already considered by many mathematicians. Important algebraic structures are groups, rings and modules. Rough groups and rough rings have been investigated by Biswas and Nanda, Kuroki and Wang, and Davvaz. In this paper, we consider an R-module as a universal set and we introduce the notion of rough submodule with respect to a submodule of an R-module, which is an extended notion of a submodule in an R-module. We also give some properties of the lower and the upper approximations in an R-module.