Title :
The Minimal Sets of Axioms Characterizing Rough Fuzzy Approximation Operators
Author :
Mi, Ju-Sheng ; Leung, Yee ; Zhao, Hui-Yin
Author_Institution :
Coll. of Math. & Inf. Sci., Hebei Normal Univ.
Abstract :
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
Keywords :
Boolean algebra; approximation theory; fuzzy set theory; mathematical operators; rough set theory; binary relation; minimal axiom set; rough fuzzy approximation operator axiomatic characterization; rough set theory; triangular norm; Algebra; Cybernetics; Educational institutions; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Geography; Information science; Machine learning; Mathematics; Resource management; Rough sets; Set theory; Approximation operators; fuzzy relation; minimal sets of axioms; rough set; triangular norm;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.258593
