Research output: Contribution to journal › Article

**Approximation Operators, Binary Relation and Basis Algebra in L-fuzzy Rough Sets.** / Wu, Zhenjiang; Li, Tianrui; Qin, Keyun; Ruan, Da.

Research output: Contribution to journal › Article

Wu, Z, Li, T, Qin, K & Ruan, D 2011, 'Approximation Operators, Binary Relation and Basis Algebra in L-fuzzy Rough Sets', *Fundamenta Informaticae*, vol. 111, no. 1, pp. 47-63. https://doi.org/10.3233/FI-2011-553

Wu, Z., Li, T., Qin, K., & Ruan, D. (2011). Approximation Operators, Binary Relation and Basis Algebra in L-fuzzy Rough Sets. *Fundamenta Informaticae*, *111*(1), 47-63. https://doi.org/10.3233/FI-2011-553

Wu Z, Li T, Qin K, Ruan D. Approximation Operators, Binary Relation and Basis Algebra in L-fuzzy Rough Sets. Fundamenta Informaticae. 2011;111(1):47-63. https://doi.org/10.3233/FI-2011-553

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title = "Approximation Operators, Binary Relation and Basis Algebra in L-fuzzy Rough Sets",

abstract = "Approximation operators play a vital role in rough set theory. Their three elements, namely, binary relation in the universe, basis algebra and properties, are fundamental in the study of approximation operators. In this paper, the interrelations among the three elements of approximation operators in L-fuzzy rough sets are discussed under the constructive approach, the axiomatic approach and the basis algebra choosing approach respectively. In the constructive approach, the properties of the approximation operators depend on the basis algebra and the binary relation. In the axiomatic approach, the induced binary relation is influenced by the axiom set and the basis algebra. In the basis algebra choosing approach, the basis algebra is constructed by properties of approximation operators and specific binary relations.",

keywords = "L-fuzzy rough sets, Approximation operators, Basis algebra, Binary relation, Residuated lattice",

author = "Zhenjiang Wu and Tianrui Li and Keyun Qin and Da Ruan",

note = "Score=10",

year = "2011",

doi = "10.3233/FI-2011-553",

language = "English",

volume = "111",

pages = "47--63",

journal = "Fundamenta Informaticae",

issn = "0169-2968",

publisher = "PTM - Polskie Towarzystwo Matematyczne",

number = "1",

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AU - Wu, Zhenjiang

AU - Li, Tianrui

AU - Qin, Keyun

AU - Ruan, Da

N1 - Score=10

PY - 2011

Y1 - 2011

N2 - Approximation operators play a vital role in rough set theory. Their three elements, namely, binary relation in the universe, basis algebra and properties, are fundamental in the study of approximation operators. In this paper, the interrelations among the three elements of approximation operators in L-fuzzy rough sets are discussed under the constructive approach, the axiomatic approach and the basis algebra choosing approach respectively. In the constructive approach, the properties of the approximation operators depend on the basis algebra and the binary relation. In the axiomatic approach, the induced binary relation is influenced by the axiom set and the basis algebra. In the basis algebra choosing approach, the basis algebra is constructed by properties of approximation operators and specific binary relations.

AB - Approximation operators play a vital role in rough set theory. Their three elements, namely, binary relation in the universe, basis algebra and properties, are fundamental in the study of approximation operators. In this paper, the interrelations among the three elements of approximation operators in L-fuzzy rough sets are discussed under the constructive approach, the axiomatic approach and the basis algebra choosing approach respectively. In the constructive approach, the properties of the approximation operators depend on the basis algebra and the binary relation. In the axiomatic approach, the induced binary relation is influenced by the axiom set and the basis algebra. In the basis algebra choosing approach, the basis algebra is constructed by properties of approximation operators and specific binary relations.

KW - L-fuzzy rough sets

KW - Approximation operators

KW - Basis algebra

KW - Binary relation

KW - Residuated lattice

UR - https://ecm.sckcen.be/OTCS/llisapi.dll/overview/39154322

U2 - 10.3233/FI-2011-553

DO - 10.3233/FI-2011-553

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SP - 47

EP - 63

JO - Fundamenta Informaticae

JF - Fundamenta Informaticae

SN - 0169-2968

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