逻辑命题分解变换与模糊错误矩阵包含型集合方程求解研究
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摘要
在前期研究的基础上,对错误矩阵的概念作一个介绍,在此基础上,且对于矩阵的每一行又恰好是一个模糊错误逻辑命题.因为构成这类模糊错误矩阵的元素是集合,所以这类模糊错误矩阵之间一般是集合关系式,而不只是通常方程的等式,研究这一类模糊错误矩阵方程解的存在性,求解的方法等是理论与实践的需要.以XA■B研究对象,研究得到模糊错误矩阵集合方程XA′=B解的存在性及给出求解的例子.
This paper introduced the error matrix on the basis of previous research, which contributed to the solutions to each row of the matrix which is a fuzzy error logical proposition as well. It is because this type of fuzzy error matrix is composed of sets that such fuzzy error matrix is generally relation of sets rather than normal equation. We studied on XAB to find the possible solution to the fuzzy error matrix sets of equation XA' = B. Finally an example was presented regarding the solution to the equation.
This paper introduced the error matrix on the basis of previous research, which contributed to the solutions to each row of the matrix which is a fuzzy error logical proposition as well. It is because this type of fuzzy error matrix is composed of sets that such fuzzy error matrix is generally relation of sets rather than normal equation. We studied on XAB to find the possible solution to the fuzzy error matrix sets of equation XA' = B. Finally an example was presented regarding the solution to the equation.
引文
[1]郭开仲,张式强.消错学引论[M].广州:华南理工大学出版社,1995.
[2]郭开仲,张式强.判别企业固定资产投资决策错误的理论和方法[M].广州:华南理工大学出版社,1995.
[3]刘永清,郭开仲.复杂大系统的冲突与错误的理论与方法[M].广州:华南理工大学出版社,2000.
[4]郭开仲,张式强.错误集论[M].长沙:中南大学出版社,2001.
[5]郭开仲.错误逻辑[M].北京:中国科学出版社,2008.
[6]Guo Kaizhong, Liu Shiyong. Research on laws of security risk-error logic system with critical point[J]. Advances in Modeling&Analysis D:Production Engineering and Management, Organization, Human and Social Problems, 2001, 22(1):1-10.
[7]汪成义.模糊数学引论[M].北京:北京工业大学出版社,1998.
[8] Liu Shiyong,Guo Kaizhong. Exploration and application of redundancy system in decision makingrelation between fuzzy error logic increase transformation word and connotative model implication word[J]. Journal of the Association for the Advancement of Modelling&Simulation Techniques in Enterprises, 2002, 39(4):17-29.
[9] Liu Shiyong, Guo Kaizhong. Substantial change of decision-making environment-mutation of fuzzy error system[J]. Journal of the Association for the Advancement of Modelling&Simulation Techniques in Enterprises, 2002, 39(4):29-39.
[10]赵总宽.数理辩证逻辑导论[M].北京:中国人民大学出版社,1995.
[11] Barwise, J(editor). Handbook of Mathematical Logic[M]. Amastdam:North—Holand Publishing Company, 1977:1-11.
[12]郭开仲,熊海鸥.模糊错误逻辑事物毁灭转化联结词研究[J].模糊系统与数学,2006, 20(2):34-39.
[13]熊海鸥,郭开仲.模糊错误逻辑论域分解转化联结词研究[J].模糊系统与数学,2006,20(1):24-29.
[14] Li Min, Guo Kaizhong. Research on decomposition of fuzzy error set[J]. Journal of the Association for the Advancement of Modelling&Simulation Techniques in Enterprises, 2006, 43(26):15-26.
[15] Liu HB, Guo K Z. Discussion about risk-control of investment:research on transformation system of fuzzy error set[J]. Model Meas Control D, 2006, 27(1):63-70.
[16] Liu HB, Guo KZ. One-element fuzzy error-matrix[J]. Journal of the Association for the Advancement of Modeling&Simulation Techniques in Enterprises Modelling D, 2006, 27(2):33-42.
[17]郭开仲.错误系统[M].北京:中国科学出版社,2012.
[18]郭开仲.如何避免与纠正错误[M].北京:中国科学出版社,2015.
[2]郭开仲,张式强.判别企业固定资产投资决策错误的理论和方法[M].广州:华南理工大学出版社,1995.
[3]刘永清,郭开仲.复杂大系统的冲突与错误的理论与方法[M].广州:华南理工大学出版社,2000.
[4]郭开仲,张式强.错误集论[M].长沙:中南大学出版社,2001.
[5]郭开仲.错误逻辑[M].北京:中国科学出版社,2008.
[6]Guo Kaizhong, Liu Shiyong. Research on laws of security risk-error logic system with critical point[J]. Advances in Modeling&Analysis D:Production Engineering and Management, Organization, Human and Social Problems, 2001, 22(1):1-10.
[7]汪成义.模糊数学引论[M].北京:北京工业大学出版社,1998.
[8] Liu Shiyong,Guo Kaizhong. Exploration and application of redundancy system in decision makingrelation between fuzzy error logic increase transformation word and connotative model implication word[J]. Journal of the Association for the Advancement of Modelling&Simulation Techniques in Enterprises, 2002, 39(4):17-29.
[9] Liu Shiyong, Guo Kaizhong. Substantial change of decision-making environment-mutation of fuzzy error system[J]. Journal of the Association for the Advancement of Modelling&Simulation Techniques in Enterprises, 2002, 39(4):29-39.
[10]赵总宽.数理辩证逻辑导论[M].北京:中国人民大学出版社,1995.
[11] Barwise, J(editor). Handbook of Mathematical Logic[M]. Amastdam:North—Holand Publishing Company, 1977:1-11.
[12]郭开仲,熊海鸥.模糊错误逻辑事物毁灭转化联结词研究[J].模糊系统与数学,2006, 20(2):34-39.
[13]熊海鸥,郭开仲.模糊错误逻辑论域分解转化联结词研究[J].模糊系统与数学,2006,20(1):24-29.
[14] Li Min, Guo Kaizhong. Research on decomposition of fuzzy error set[J]. Journal of the Association for the Advancement of Modelling&Simulation Techniques in Enterprises, 2006, 43(26):15-26.
[15] Liu HB, Guo K Z. Discussion about risk-control of investment:research on transformation system of fuzzy error set[J]. Model Meas Control D, 2006, 27(1):63-70.
[16] Liu HB, Guo KZ. One-element fuzzy error-matrix[J]. Journal of the Association for the Advancement of Modeling&Simulation Techniques in Enterprises Modelling D, 2006, 27(2):33-42.
[17]郭开仲.错误系统[M].北京:中国科学出版社,2012.
[18]郭开仲.如何避免与纠正错误[M].北京:中国科学出版社,2015.