CAJ | 학술논문

研究了自反传递模糊关系与拓扑空间的联系，证明了一个自反传递的模糊关系对应一个单调的拓扑空间族，从而对应一个模糊化拓扑。特别地，当 R是自反传递关系时，该拓扑族退化为一个拓扑空间，该拓扑空间以粗糙下近似为其内部算子。
연구료자반전체모호관계여탁복공간적련계，증명료일개자반전체적모호관계대응일개단조적탁복공간족，종이대응일개모호화탁복。특별지，당 R시자반전체관계시，해탁복족퇴화위일개탁복공간，해탁복공간이조조하근사위기내부산자。
The relation between the reflexive ,transitive fuzzy binary relation R with topological space is studied .We prove that a reflexive ,transitive fuzzy binary relation has a corresponding to a fuzzying topology w hich is a monotone topological space ,w hence R is a reflexive ,transitive relation , the fuzzying topology become a classical topology in w hich the closure and the interior operator is just the rough upper and lower approximation operator .