Results 21 to 30 of about 156,977 (313)
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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The Structure of Multigranular Rough Sets [PDF]
Fundamenta Informaticae, 2020 We study multigranulation spaces of two equivalences. The lattice-theoretical properties of so-called “optimistic” and “pessimistic” multigranular approximation systems are given. We also consider the ordered sets of rough sets determined by these approximation pairs.
Jouni Järvinen, Sándor Radeleczki
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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
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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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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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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.
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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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, 2008 Rough set theory (RST), since its introduction in Pawlak (1982), continues to develop as an effective tool in classification problems and decision support. In the majority of applications using RST based methodologies, there is the construction of ‘if ..
Beynon, Malcolm James, Malcolm J. Beynon
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Properties and Approximation Distribution Reductions in Multigranulation Rough Set Model
, 2017 Some properties of approximation sets are studied in multi-granulation optimist model in rough set theory using maximal compatible classes. The relationships between or among lower and upper approximations in single and multiple granulation are compared ...
Properties and Approximation Distribution Reductions in Multigranulation Rough Set Model
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