Results 261 to 270 of about 3,651 (294)
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2006
A rough fuzzy set is a pair of fuzzy sets resulting from the approximation of a fuzzy set in a crisp approximation space. A rough fuzzy set algebra is a fuzzy set algebra with added dual pair of rough fuzzy approximation operators. In this paper, structures of rough fuzzy set algebras are studied. It is proved that if a system $({\cal F}(U), \cap, \cup,
Wei-Zhi Wu 0001, You-Hong Xu
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A rough fuzzy set is a pair of fuzzy sets resulting from the approximation of a fuzzy set in a crisp approximation space. A rough fuzzy set algebra is a fuzzy set algebra with added dual pair of rough fuzzy approximation operators. In this paper, structures of rough fuzzy set algebras are studied. It is proved that if a system $({\cal F}(U), \cap, \cup,
Wei-Zhi Wu 0001, You-Hong Xu
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Axiomatics for fuzzy rough sets
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nehad N. Morsi, Mohammed Mostafa Yakout
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An extension of rough fuzzy set
Journal of Intelligent & Fuzzy Systems, 2016In rough fuzzy set, equivalence relation is used for approximating the target concept, which is a fuzzy set. In this paper, we extend the equivalence relation in rough fuzzy set to tolerance relation, and propose an extended model named tolerance rough fuzzy set.
Junhai Zhai, Sufang Zhang, Yao Zhang
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Where Rough Sets and Fuzzy Sets Meet
Fundamenta Informaticae, 2015The title of this note announces an attempt at pointing to particular points where rough set and fuzzy set approaches to decision making are close to each other, the closeness meaning that formal approaches to behaviour of the two at those points can be given in an analogous form. This by no means implies that the two can be unified as theories dealing
Lech Polkowski, Maria Semeniuk-Polkowska
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2004
In this paper we introduce a new class of algebras, called extended residuated lattices. Basing on this structure we present an algebraic generalization of approximation operators and rough sets determined by abstract counterparts of fuzzy logical operations.
Anna Maria Radzikowska, Etienne E. Kerre
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In this paper we introduce a new class of algebras, called extended residuated lattices. Basing on this structure we present an algebraic generalization of approximation operators and rough sets determined by abstract counterparts of fuzzy logical operations.
Anna Maria Radzikowska, Etienne E. Kerre
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Rough Soft Sets in Fuzzy Setting
2013Fuzzy set theory, soft set theory and rough set theory are mathematical tools for dealing with uncertainties and are closely related. In the paper, we define the notion of a soft set in L-set theory, introduce several operators for L-soft set theory, and investigate the rough operators on the set of all L-soft sets induced by the rough operators on L X
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2009
Kernel machines and rough sets are two classes of popular learning techniques. Kernel machines enhance traditional linear learning algorithms to deal with nonlinear domains by a nonlinear mapping, while rough sets introduce a human-like manner to deal with uncertainty in learning.
Qinghua Hu +3 more
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Kernel machines and rough sets are two classes of popular learning techniques. Kernel machines enhance traditional linear learning algorithms to deal with nonlinear domains by a nonlinear mapping, while rough sets introduce a human-like manner to deal with uncertainty in learning.
Qinghua Hu +3 more
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Fuzzy Sets and Systems, 1985
In this note we compare notions of rough set and fuzzy set, and we show that these two notions are different.
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In this note we compare notions of rough set and fuzzy set, and we show that these two notions are different.
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Fuzzy Reasoning and Rough Sets
1994Fuzzy concepts are represented by fuzzy sets, so a fuzzy knowledge is defined to be a collection of fuzzy sets (concepts) which includes two constants, 1 (true) and 0 (false). Abstractly, a logical derivation is a finite series of logical operations acting on a given knowledge.
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Fuzzy Interpolation of Fuzzy Rough Sets
2022 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2022Dávid Gégény, Szilveszter Kovács
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