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An Attempt of Object Reduction in Rough Set Theory [PDF]
, 2019 Attribute reduction is a popular topic in rough set theory; however, object reduction is not considered popularly. In this paper, from a viewpoint of computing all relative reducts, we introduce a concept of object reduction that reduces the number of ...
KUDO Yasuo, MURAI Tetsuya
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Empirical analysis of rough set categorical clustering techniques based on rough purity and value set [PDF]
, 2017 Clustering a set of objects into homogeneous groups is a fundamental operation in data mining. Recently, attention has been put on categorical data clustering, where data objects are made up of non-numerical attributes.
Abdulhasan, Raed abdulkareem +5 more
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Evaluation of Xiashu loess slope stability in Zhenjiang area using different methods
Zhongguo dizhi zaihai yu fangzhi xuebao, 2021 Slope instability is the result of the continuous evolution of the interaction of geological environment conditions in a certain area, so many factors should be considered when evaluating the stability of a slope. In this paper, the influence factors and
Jingjing QU +4 more
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Journal of Mathematics, 2020 The major concern of this article is to propose the notion of picture fuzzy rough sets (PFRSs) over two different universes which depend on δ,ζ,ϑ-cut of picture fuzzy relation ℛ on two different universes (i.e., by combining picture fuzzy sets (PFSs ...
Dliouah Ahmed, Binxiang Dai
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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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Interval Neutrosophic Rough Set [PDF]
Neutrosophic Sets and Systems, 2015 This Paper combines interval- valued neutrouphic sets and rough sets. It studies roughness in interval- valued neutrosophic sets and some of its properties.
Said Broumi, Florentin Smarandache
doaj
New Rough Set Approximation Spaces
Abstract and Applied Analysis, 2013 Rough set theory was introduced by Pawlak in 1982 to handle imprecision, vagueness, and uncertainty in data analysis. Our aim is to generalize rough set theory by introducing concepts of -lower and -upper approximations which depends on the concept of ...
H. M. Abu-Donia
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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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The Lattice of Rough Subsets of a Rough Set. The Category of Rough Sets
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.
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IEEE Access, 2022 The objective of this article is to explore and generalize the notions of soft set and rough set along with spherical fuzzy set and to introduce the novel concept called spherical fuzzy soft rough set that is free from all those complications faced by ...
Leina Zheng +4 more
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