The Relativity and Properties of Logical Operator, Fuzzy Relations and General Fuzzy Rough Approximation

In this paper, we try to study the properties and combination of logical operator, fuzzy relation and general fuzzy  rough approximation decided by the two operators. The theory of general fuzzy rough approximation which is restricted by a type of special operator, is characterized by fuzzy relation, such as serial, general symmetry and general t-transitivity etc. The study field, which using fuzzy relation and wanted t-norm operator, is started. And, we have gained some results. The conclusions of this paper will have significance to the enrichment and development of fuzzy set theory and fuzzy topology and so on.