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Fuzzy-rough set models and fuzzy-rough data reduction [PDF]

open access: yesCroatian Operational Research Review, 2020
Rough set theory is a powerful tool to analysis the information systems. Fuzzy rough set is introduced as a fuzzy generalization of rough sets. This paper reviewed the most important contributions to the rough set theory, fuzzy rough set theory and their
Hassan Mishmast Nehi   +1 more
doaj   +2 more sources

Topology in the Alternative Set Theory and Rough Sets via Fuzzy Type Theory

open access: yesMathematics, 2020
In this paper, we will visit Rough Set Theory and the Alternative Set Theory (AST) and elaborate a few selected concepts of them using the means of higher-order fuzzy logic (this is usually called Fuzzy Type Theory).
Vilém Novák
doaj   +2 more sources

Relative Reduction of Neighborhood-Covering Pessimistic Multigranulation Rough Set Based on Evidence Theory

open access: yesInformation, 2019
Relative reduction of multiple neighborhood-covering with multigranulation rough set has been one of the hot research topics in knowledge reduction theory.
Xiaoying You, Jinjin Li, Hongkun Wang
doaj   +2 more sources

Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory

open access: yesJournal of Applied Mathematics, 2014
Attribute reduction is one of the most important problems in rough set theory. However, from the granular computing point of view, the classical rough set theory is based on a single granulation.
Minlun Yan
doaj   +2 more sources

New Rough Set Approximation Spaces [PDF]

open access: yesAbstract 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
doaj   +2 more sources

Decision Making in Fuzzy Rough Set Theory

open access: yesMathematics, 2023
Decision rules are powerful tools to manage information and to provide descriptions of data sets; as a consequence, they can acquire a useful role in decision-making processes where fuzzy rough set theory is applied.
Fernando Chacón-Gómez   +2 more
doaj   +1 more source

Evaluation of Xiashu loess slope stability in Zhenjiang area using different methods

open access: yesZhongguo 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
doaj   +1 more source

Applying Rough Set Theory on DNA Recombination [PDF]

open access: yesDelta Journal of Science, 2017
The generalized structure of DNA recombination is based on the rules of rough Set. Inthis paper we are discussing the relationship between rough Set and DNA recombination.
Wafaa M. Fouda   +2 more
doaj   +1 more source

Roughness in Fuzzy Cayley Graphs

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
Rough set theory is a worth noticing approach for inexact and uncertain system modelling. When rough set theory accompanies with fuzzy set theory, which both are a complementary generalization of set theory, they will be attended by potency in ...
M.H. Shahzamanian, B. Davvaz
doaj   +1 more source

Rough sets theory and its extensions for attribute reduction: a review [PDF]

open access: yesBig Data and Computing Visions, 2021
The rough sets theory is a mathematical tool to express vagueness by means of boundary region of a set. The main advantage of this implementation of vagueness is that it requires no human input or domain knowledge other than the given data set.
Sadegh Eskandari
doaj   +1 more source

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