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The Lattice of Rough Subsets of a Rough Set. The Category of Rough Sets [PDF]
Demonstratio Mathematica, 1997 The paper deals with algebraic structures related to rough sets, introduced by Pawlak in 1982. It is proved that the lattice of all rough subsets of a given rough set is a complete Heyting algebra. Necessary and sufficient conditions for the above lattice to be a Boolean algebra are presented.
Teresa Biegaǹska
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Annals of computer science and information systems, 2014 I will analyze Pawlak’s rough sets and extend the usual setting of characterization via an equivalence relation to any arbitrary relation, or a full relation. I extract the specification of rough sets by two operators: probable operator and sure operator.
Ray-Ming Chen
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International Journal of Computational Intelligence Systems, 2014 Rough set theory gives approximation models of complex knowledge structure. Agents are not present in the definition of the rough sets. Now we will show that a set of conflicting agents or active set can be used to model inconsistent decision in rough ...
Germano Resconi, Chris Hinde
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Soft Covering Based Rough Sets and Their Application [PDF]
The Scientific World Journal, 2014 Soft rough sets which are a hybrid model combining rough sets with soft sets are defined by using soft rough approximation operators. Soft rough sets can be seen as a generalized rough set model based on soft sets.
Şaziye Yüksel +2 more
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An Attribute Reduction Method Using Neighborhood Entropy Measures in Neighborhood Rough Sets [PDF]
Entropy, 2019 Attribute reduction as an important preprocessing step for data mining, and has become a hot research topic in rough set theory. Neighborhood rough set theory can overcome the shortcoming that classical rough set theory may lose some useful information ...
Lin Sun +3 more
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Advances in fuzzy sets and rough sets
International Journal of Approximate Reasoning, 2005 n ...
Francesco Masulli, Alfredo Petrosino
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Elementary Rough Set Granules: Toward a Rough Set Processor
, 2004 In this chapter, the basics of the rough set approach are presented, and an outline of an exemplary processor structure is given. The organization of a simple processor is based on elementary rough set granules and dependencies between them. The rough set processor (RSP) is meant to be used as an additional fast classification unit in ordinary ...
Zdzisław Pawlak
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Some operations on rough bipolar interval neutrosophic sets [PDF]
Neutrosophic Sets and Systems, 2021 In this study we introduce the concept of rough bipolar interval neutrosophic sets which is a combination of rough sets and bipolar interval neutrosophi sets. Also, we define union, complement, intersection and some interesting properties of this set.
V.S. Subha, P. Dhanalakshmi
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soft sets, soft rough sets, soft pre-rough sets, information system, decision making
AIMS Mathematics, 2023 For any real $ \beta $ let $ H^2_\beta $ be the Hardy-Sobolev space on the unit disc $ {\mathbb D} $. $ H^2_\beta $ is a reproducing kernel Hilbert space and its reproducing kernel is bounded when $ \beta > 1/2 $.
Li He
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Approximations of interval neutrosophic hyperideals in semi-hyper-rings [PDF]
Neutrosophic Sets and Systems, 2023 This paper deals with the combination of rough sets and interval neutrosophic sets. We introduce the interval neutrosophic hyper-ideals in semi-hyper-rings. Also we study the rough interval neutrosophic hyper-ideals in semi-hyper-rings.
P. Dhanalakshmi
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