Paper Info
Title
L-fuzzy rough approximation operators via three new types of L-fuzzy relations.
Abstract
Considering L being a frame with an order-reversing involution, three new types of L-fuzzy relations are introduced, which are called mediate, Euclidean and adjoint L-fuzzy relations, respectively. By means of these L-fuzzy relations, three types of L-fuzzy rough approximation operators are constructed and their connections with those three L-fuzzy relations are examined, respectively. An axiomatic approach is adopted to deal with L-fuzzy rough approximation operators. It is shown that each type of L-fuzzy rough approximation operators corresponding to mediate, Euclidean and adjoint L-fuzzy relations as well as their compositions can be characterized by single axioms.
Year
DOI
Venue
2019
10.1007/s00500-019-04110-3
Soft Computing
Keywords
Field
DocType
Approximation operator, Rough set, Fuzzy rough set
Approximation operators,Axiomatic system,Algebra,Computer science,Axiom,Fuzzy logic,Theoretical computer science,Rough set,Fuzzy rough sets,Euclidean geometry
Journal
Volume
Issue
ISSN
23
22
1432-7643
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Bin Pang110713.55
Ju-Sheng Mi2205477.81
Wei Yao319915.89