Paper Info
Title
Using single axioms to characterize L-rough approximate operators with respect to various types of L-relations
Abstract
Considering L being a complete Heyting algebra, this paper mainly proposes a general framework of L-rough approximate operators in which constructive and axiomatic approaches are used. In the constructive approach, upper and lower L-rough approximate operators are introduced and their connections with L-relations are investigated. In the axiomatic approach, various types of set-theoretic L-operators are defined. It is shown that each type of L-rough approximate operators corresponding to special kind of L-relations, including serial, reflexive, symmetric, transitive, mediate, Euclidean and adjoint L-relations as well as their compositions, can be characterized by single axioms.
Year
DOI
Venue
2020
10.1007/s13042-019-01051-z
International Journal of Machine Learning and Cybernetics
Keywords
DocType
Volume
Fuzzy rough set, Fuzzy approximate operator, Fuzzy set, Fuzzy relation
Journal
11
Issue
ISSN
Citations 
5
1868-8071
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Bin Pang110713.55
Ju-Sheng Mi2205477.81