The Minimal Sets of Axioms Characterizing Rough Fuzzy Approximation Operators

Axiomatic characterization of rough approximation operators is one of the important aspects in the study of rough set theory. In axiomatic approach, various classes of rough approximation operators are characterized by different sets of axioms. Axioms of approximation operators guarantee the existen...

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Bibliographic Details
Main Authors: Ju-Sheng Mi, Yee Leung, Hui-Yin Zhao
Format: Conference Proceeding
Language:English
Subjects:
Algebra
Approximation operators
Educational institutions
Fuzzy logic
fuzzy relation
Fuzzy sets
Geography
Information science
Mathematics
minimal sets of axioms
Resource management
rough set
Rough sets
Set theory
triangular norm
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Summary:Axiomatic characterization of rough approximation operators is one of the important aspects in the study of rough set theory. In axiomatic approach, various classes of rough approximation operators are characterized by different sets of axioms. Axioms of approximation operators guarantee the existence of certain types of binary relations producing the same operators. In this paper, the approximation operators determined by a triangular norm are studied, the independence of axioms characterizing rough fuzzy approximation operators is examined, and then the minimal sets of axioms for the characterization of fuzzy approximation operators are presented
ISSN:2160-133X
DOI:10.1109/ICMLC.2006.258593