浅析L伽罗瓦连接

Analysis of L Galois Connection

通过猜想以定理形式提出了L伽罗瓦连接与伽罗瓦连接之间的关系,在此基础上加以证明,从而得出了伽罗瓦连接是L伽罗瓦连接的特殊情况。将伽罗瓦连接扩展到更一般的情况,为模糊概念格的研究提供了又一重要的结论。再对L伽罗瓦连接进行研究,引入了3对算子,以其中1对为例进行证明算子是满足L伽罗瓦连接的。

Through conjecture,a theorem has been presented about the relationships between L Galois connection and Galois connection,which proves that the Galois connection is a special case of L Galois connection.The Galois connection has been applied into more general cases,so as to provide another important conclusion for the fuzzy concept lattice research.It is followed by the study of the L Galois connection in which three pairs of operators are introduced and one pair of them are taken as the example to prove the truth that the operators will satisfy the L Galois connection.