Guo Qiwei

Research of Solvability and Application of Fuzzy Errors Set Matrix 1 Equation of Type II

The concept of fuzzy sets and fuzzy error matrix is presented in this paper. On this basis, we studied the types of the set matrix of error matrix. It is especially researched that the elements of fuzzy error matrix are set, and each row of matrix is the decomposition of a fuzzy error logic proposition [1, 2, 3, 4, 5]. The error matrix equation is a general set of relations, not just the usual equation [6, 7, 8, 9, 10, 11, 12]. And the solvability of this error matrix, and solutions to it are presented. And an example of solving the fuzzy error set matrix would be given in the paper.

The Matrix Representation of Fuzzy Error Logic Conjunction and Applied Research

Based on the paper [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], this paper studied matrix representation of six basic transformations in error logic and their application in eliminating or avoiding errors, including the following: Similar conjunctions corresponds to ( T_{x}^{ - 1} ) (reverse similarity); The replacement conjunction corresponds to ( T_{z}^{ - 1} ) (inverse permutation); The addition of the conjunction corresponds to ( T_{zn}^{ - 1} ) (reducing the transforming word); The decomposed conjunction corresponds to ( T_{f}^{ - 1} ) (combination transformation words); Destroyed conjunction corresponds to ( T_{h}^{ - 1} ) (produce a transformative word); Unit conversion Conjunction word system Td (unit); corresponds to ( T_{d}^{ - 1} ) (inverse unit conversion word); Error logical quantifier system.