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Soft Covering Based Rough Sets and Their Application [PDF]

open access: yesThe 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
doaj   +2 more sources

An Attribute Reduction Method Using Neighborhood Entropy Measures in Neighborhood Rough Sets [PDF]

open access: yesEntropy, 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
doaj   +2 more sources

Geometric Lattice Structure of Covering-Based Rough Sets through Matroids [PDF]

open access: yesJournal of Applied Mathematics, 2012
Covering-based rough set theory is a useful tool to deal with inexact, uncertain, or vague knowledge in information systems. Geometric lattice has been widely used in diverse fields, especially search algorithm design, which plays an important role in ...
Aiping Huang, William Zhu
doaj   +5 more sources

Some operations on rough bipolar interval neutrosophic sets [PDF]

open access: yesNeutrosophic 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
doaj   +1 more source

soft sets, soft rough sets, soft pre-rough sets, information system, decision making

open access: yesAIMS 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
doaj   +1 more source

Approximations of interval neutrosophic hyperideals in semi-hyper-rings [PDF]

open access: yesNeutrosophic 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
doaj   +1 more source

Interval neutrosophic covering rough sets based on neighborhoods

open access: yesAIMS Mathematics, 2021
Covering rough set is a classical generalization of rough set. As covering rough set is a mathematical tool to deal with incomplete and incomplete data, it has been widely used in various fields. The aim of this paper is to extend the covering rough sets
Dongsheng Xu, Huaxiang Xian, Xiewen Lu
doaj   +1 more source

Cost-sensitive Multigranulation Approximation of Neighborhood Rough Fuzzy Sets [PDF]

open access: yesJisuanji kexue, 2023
Multigranulation neighborhood rough sets are a new data processing mode in the theory of neighborhood rough sets,in which the target concept can be characterized by upper/lower approximate boundaries of optimistic and pessimistic,respectively ...
YANG Jie, KUANG Juncheng, WANG Guoyin, LIU Qun
doaj   +1 more source

Rough soft sets and rough soft groups [PDF]

open access: yesJournal of Hyperstructures, 2013
In this paper we discuss some basic properties of rough soft sets and hence we introduce the notion of rough soft group. Basic properties of rough soft group are presented and supported by some illustrative examples.
Jayanta Ghosh, T. K. Samanta
doaj   +1 more source

Agents and rough sets [PDF]

open access: yesInternational 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
doaj   +1 more source

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