The Minimal Sets of Axioms Characterizing Rough Fuzzy Approximation Operators
Dalian, China（2006）
摘要
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
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关键词
rough set theory,fuzzy set theory,minimal axiom set,triangular norm,approximation operators,approximation theory,binary relation,rough fuzzy approximation operator axiomatic characterization,boolean algebra,mathematical operators,fuzzy relation,minimal sets of axioms,rough set,difference set
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