Results 31 to 40 of about 5,204,108 (294)
Both neutrosophic sets theory and rough sets theory are emerging as powerful tool for managing uncertainty, indeterminate, incomplete and imprecise information.
Said Broumi +2 more
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The Structure of Multigranular Rough Sets [PDF]
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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Rough analysis in lattices [PDF]
An outline of an algebraie generalization of the rough set theory is presented in the paper. It is shown that the majority of the basic concepts of this theory has an immediate algebraic generalization, and that some rough set facts are true in general ...
Iwinski, Tadeusz B.
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Pythagorean fuzzy soft rough sets and their applications in decision-making
This paper aims to originate two new notions that are soft rough Pythagorean fuzzy set and Pythagorean fuzzy soft rough set, and investigate some important properties of soft rough Pythagorean fuzzy set and Pythagorean fuzzy soft rough set in detail ...
Azmat Hussain +2 more
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Decision-Theoretic Rough Set: A Fusion Strategy
Decision-theoretic rough set is a popular topic. However, such single-granulation rough set model is not able to handle complex information well, such as multi-source, multi-scale and high dimensions data.
Tao Yin +5 more
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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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Evaluation of Xiashu loess slope stability in Zhenjiang area using different methods
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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Interval Neutrosophic Rough Set [PDF]
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
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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The Lattice of Rough Subsets of a Rough Set. The Category of Rough Sets
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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