A Metric Structure and Its Properties Based on Metric Residual Lattice
WU Hong-bo · Journal of Jilin University(Science Edition) · 2012
The metric properties of special logical algebra were discussed.Firstly,we gave the definition of special logical algebra named metric residual lattice,and then established a metric structure in this algebra system.Secondly,the problem about closed set,cluster point were discussed in the logical metric space induced by the given metric structure.Finally,the continuity of the basic operators of the algebras were proved in the logical metric space.