完备格上的诱导算子

Inducing Operators on a Complete Lattice

利用文献[2]中讨论完备格上蕴涵算子和拟t-模的诱导算子的思想方法,证明了蕴涵算子和拟t-模的2次T-诱导在一定条件下、一定范围内等于原拟t-模(或蕴涵算子),得到了两个不同诱导算子之间的关系及它们与L-关系方程解的联系.进一步表述了蕴涵算子和拟t-模的n次诱导算子序列的一些结论,并提出了一些有待解决的问题.

We further study the inducing operators of a quasl-t-norm （or an implication） on a complete lattice once discussed in Reference [-2], and prove that implication and the t-inducing operator of quasi-t-norm equals the original quasl-t-norm under a given condition and a given scope. We have obtained the relationship between different inducing operators and their relation to the solutions of L-relatlon equation, arriving at conclusions about n-induclng operators of a quasl-t-norm （or an implication） and putting forward some open problems to be settled.