Fuzzy Sets and Systems
The lower and upper approximations in a fuzzy group
Information Sciences: an International Journal
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
Fuzzy Sets and Systems
&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
Rough Sets in Knowledge Discovery 2: Applications, Case Studies, and Software Systems
Rough Sets in Knowledge Discovery 2: Applications, Case Studies, and Software Systems
A comparative study of fuzzy rough sets
Fuzzy Sets and Systems
Rough-fuzzy functions in classification
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
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
An axiomatic characterization of a fuzzy generalization of rough sets
Information Sciences—Informatics and Computer Science: An International Journal
Information Sciences—Informatics and Computer Science: An International Journal
Two new operators in rough set theory with applications to fuzzy sets
Information Sciences—Informatics and Computer Science: An International Journal
Fuzzy Sets and Systems
On the topological properties of fuzzy rough sets
Fuzzy Sets and Systems
On the structure of generalized rough sets
Information Sciences: an International Journal
Rough prime ideals and rough fuzzy prime ideals in semigroups
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
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
Fuzzy radicals and prime fuzzy ideals of ordered semigroups
Information Sciences: an International Journal
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
Fuzzy hyperrings (Hv-rings) based on fuzzy universal sets
Information Sciences: an International Journal
Reference points and roughness
Information Sciences: an International Journal
Information Sciences: an International Journal
Some remarks on the lattice of fuzzy intervals
Information Sciences: an International Journal
Transversal and function matroidal structures of covering-based rough sets
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
Rough set theory applied to lattice theory
Information Sciences: an International Journal
Axiomatic systems for rough set-valued homomorphisms of associative rings
International Journal of Approximate Reasoning
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The theory of rough set, proposed by Pawlak and the theory of fuzzy set, proposed by Zadeh are complementary generalizations of classical set theory. Many sets are naturally endowed with two binary operations: addition and multiplication. One concept which does this is a ring. This paper concerns a relationship between rough sets, fuzzy sets and ring theory. It is a continuation of ideas presented by Kuroki and Wang [N. Kuroki, P.P. Wang, The lower and upper approximations in a fuzzy group, Inform. Sci. 90 (1996) 203-220]. We consider a ring as a universal set and we assume that the knowledge about objects is restricted by a fuzzy ideal. In fact, we apply the notion of fuzzy ideal of a ring for definitions of the lower and upper approximations in a ring. Some characterizations of the above approximations are made and some examples are presented.