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Soft Computing
Published in: Soft Computing 22/2019

03-06-2019 | Foundations

L-fuzzy rough approximation operators via three new types of L-fuzzy relations

Authors: Bin Pang, Ju-Sheng Mi, Wei Yao

Published in: Soft Computing | Issue 22/2019

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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.
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Metadata
Title
L-fuzzy rough approximation operators via three new types of L-fuzzy relations
Authors
Bin Pang
Ju-Sheng Mi
Wei Yao
Publication date
03-06-2019
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 22/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-019-04110-3

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