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Rough sets models inspired by supra-topology structures. [PDF]
Artif Intell Rev, 2023 Our aim of writing this manuscript is to found novel rough-approximation operators inspired by an abstract structure called “supra-topology”. This approach is more relaxed than topological ones and extends the scope of applications because an ...
Al-Shami TM, Alshammari I.
europepmc +2 more sources
Communications of the ACM, 1995 Rough set theory, introduced by Zdzislaw Pawlak in the early 1980s [11, 12], is a new mathematical tool to deal with vagueness and uncertainty. This approach seems to be of fundamental importance to artificial intelligence (AI) and cognitive sciences, especially in the areas of machine learning, knowledge acquisition, decision analysis, knowledge ...
Pawlak, Zdzisław +3 more
semanticscholar +3 more sources
Rough sets: past, present, and future. [PDF]
Nat Comput, 2018 Introduction of rough sets by Professor Zdzisław Pawlak has completed 35 years. The theory has already attracted the attention of many researchers and practitioners, who have contributed essentially to its development, from all over the world.
Skowron A, Dutta S.
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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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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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Interval neutrosophic covering rough sets based on neighborhoods
AIMS 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
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Cost-sensitive Multigranulation Approximation of Neighborhood Rough Fuzzy Sets [PDF]
Jisuanji 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
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