可实现Fuzzy矩阵的各种运算

All Kinds of Calculation for Realizble Fuzzy Matrix

在文献［１］［２］中所提出的Ｆｕｚｚｙ矩阵可实现及可实现条件基础上，给出可实现Ｆｕｚｚｙ矩阵在Ｆｕｚｚｙ矩阵的各种运算下仍为可实现，主要讨论可实现Ｆｕｚｚｙ矩阵对于Ｆｕｚｚｙ矩阵的交、数乘Ｆｕｚｚｙ矩阵，Ｆｕｚｚｙ矩阵的截阵仍为可实现；给出了Ｆｕｚｚｙ方阵成对初等行、列变换即倍乘变换和倍加变换的概念；进一步证明了可实现Ｆｕｚｚｙ矩阵在倍乘变换和倍加变换应为可实现。从而使可实现Ｆｕｚｚｙ矩阵的运算达到完整性。

On the basis of the realizable question and the realizable conditons for fuzzy symmetric square matrix in articles [l] and [2] ,the article will pose that realizable fuzzy matrix should be realizable under all kinds of calculation.The main discussion: realizable fuzzy matrix is still realizable to intersection of fuzzy matrix, multiply-by-number fuzzy matrix and cut matrix of the fuzzy matrix We will also pose the elementary changes of column and line in couples to fuzzy square matrix, that is the concept of multiplechange and multi-puls change;Futhermore, we will certify realizable fuzzy matrix still realizable under the mutiple change and multi-puls change. So the completeness of all kinds of calculation for realizable fuzzy matrix can be reached.