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An approach to roughness of fuzzy sets

2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542), 2005
In rough-set-based data analysis, the roughness of a set is traditionally used to express the degree of inexactness of the set arose due to incompleteness of available knowledge. Recently, an attempt of integration between the theories of fuzzy sets and rough sets has resulted in providing a roughness measure for fuzzy sets (Banerjee and Pal, 1996 ...
Van-Nam Huynh, Yoshiteru Nakamori
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On rough set and fuzzy sublattice

Information Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Akbar Estaji   +2 more
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Fuzzy β-covering based (I, T)-fuzzy rough set models and applications to multi-attribute decision-making

Computers & industrial engineering, 2019
Multi-attribute decision-making (MADM) can be regarded as a process of selecting the optimal one from all alternatives. Traditional MADM problems with fuzzy information are mainly focused on a fundamental tool which is a fuzzy binary relation.
Kai Zhang   +3 more
semanticscholar   +1 more source

Scalable Fuzzy Rough Set Reduct Computation Using Fuzzy Min–Max Neural Network Preprocessing

IEEE transactions on fuzzy systems, 2020
A fuzzy rough set (FRS) is a hybridization of rough sets and fuzzy sets and provides a framework for reduct (feature subset selection) computation for hybrid decision systems.
Anil Kumar   +1 more
semanticscholar   +1 more source

Textures and Fuzzy Rough Sets

Fundamenta Informaticae, 2011
In this paper, we consider the Alexandroff topology for texture spaces. We prove that there exists a one-to-one correspondence between the Alexandroff ditopologies, and the reflexive and transitive direlations on a given texture. Using textural fuzzy direlations on a fuzzy lattice, we obtain a fuzzy rough set algebra where the inverse fuzzy relation ...
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Intuitionistic Fuzzy Rough Set-Based Granular Structures and Attribute Subset Selection

IEEE transactions on fuzzy systems, 2019
Attribute subset selection is an important issue in data mining and information processing. However, most automatic methodologies consider only the relevance factor between samples while ignoring the diversity factor.
Anhui Tan   +5 more
semanticscholar   +1 more source

Fuzzy Rough Set Based Feature Selection for Large-Scale Hierarchical Classification

IEEE transactions on fuzzy systems, 2019
The classification of high-dimensional tasks remains a significant challenge for machine learning algorithms. Feature selection is considered to be an indispensable preprocessing step in high-dimensional data classification. In the era of big data, there
Hong Zhao   +3 more
semanticscholar   +1 more source

Fuzzy rough sets are intuitionistic L-fuzzy sets

Fuzzy Sets and Systems, 1998
The concepts of intuitionistic \(L\)-fuzzy sets (IL-FS) [see \textit{K. Atanassov} and \textit{S. Stoeva}, ``Intuitionistic \(L\)-fuzzy sets'', in: R. Trappl (ed.), Cybernetics and systems research 2, 539-540 (1984; Zbl 0547.03030)], which are extensions of the IFSs [\textit{K. T. Atanassov}, ``Intuitionistic fuzzy sets'', Fuzzy Sets Syst.
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A roughness measure for fuzzy sets

Information Sciences, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Van-Nam Huynh, Yoshiteru Nakamori
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On generalized fuzzy rough sets

International Journal of General Systems, 2009
In this paper, a class of generalized fuzzy rough sets based on two universes are studied. Some new set-valued mappings and fuzzy set-valued mappings are introduced to discuss properties of the known model, and a new model for fuzzy rough sets is proposed which provides a new selection of interval structure for uncertainty reasoning using rough set ...
Daowu Pei, Taihe Fan
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