基于矩阵蕴涵运算的格值模糊概念格构造方法

Construction Method of Lattice-valued Fuzzy Concept Lattice Based on Matrix Implication Operation

从矩阵角度对一类模糊概念格的构造方法进行了研究。以具体的格蕴涵代数作为刻画对象与属性间不确定性关系的取值域建立了格值模糊概念格;为了便于非数值间的计算,分别定义了矩阵合取运算、析取运算和蕴涵运算,并基于矩阵蕴涵运算给出了格值模糊概念格的构造方法;进而通过实例求出了对应的格值模糊概念格,验证了该方法的正确性。

From the view of matrix, the construction method of a kind of fuzzy concept lattice was researched. Latticevalued fuzzy concept lattice was established on the structure of lattice implication algebra which is considered as the value range to depict the uncertainty relation between objects and attributes; considering the convenience of non-numerical computations, the matrix conj unction operation, disjunction operation and implication operation were defined, and based on the matrix implication operation, the construction method of lattice-valued fuzzy concept lattice was presented;furthermore, an example was provided to illustrate the method correct.