矩阵:一个模糊事件

文摘

矩阵已经被用于解决线性方程很长一段时间。直到1800年代,他们被称为数组。詹姆斯·约瑟夫·西尔维斯特创造了这个词矩阵(拉丁语“子宫”,来自母亲,母亲)在1850年,理解一个矩阵作为对象,现在产生的决定因素称为未成年人,也就是说,较小的矩阵的行列式来自原来的通过删除行和列。1913年,一个名叫天沟的英国数学家是第一个利用当前括号矩阵,以及第一个重要使用符号= aij表达一个矩阵,aij指组件在我th行和j列。

介绍

矩阵也可以用来表达和处理许多方程组(一个线性方程组)以紧凑的方式。当涉及到线性变换,通常称为普通地图、矩阵和矩阵乘法展示他们的真正的颜色。数据结构是数据数组的数字,符号,或表达式按行和列的行和列。盒子括号写矩阵被广泛使用。行和列参考横线与竖线的条目在一个矩阵。一个矩阵的大小是由它所包含的行数和列。M n矩阵或M - n和M×n矩阵是一个矩阵行和列,而M和n维度。。托马森是第一个提到模糊矩阵,当他解决模糊矩阵的收敛能力。模糊矩阵是重要的科学研究。模糊矩阵可以被定义为一个矩阵的元素值模糊区间内。 Fuzzy matrices are used to simulate a variety of fuzzy systems, and their products are usually defined by the "max(min)" rule. In the physical, biological, medical, social, and engineering sciences, fuzzy matrices are crucial in the development and analysis of many types of discrete structural models. Because fuzzy matrices do not satisfy many of the essential features of real or complex matrices, they require a fundamentally different treatment than matrices over the real or complex fields.

交通问题是线性规划问题的一种形式,可以在各种不同的应用程序。TP是一个健壮的结构,有助于他们及时的有效运输原材料和可用性。这是一个最有效的优化方法对各种现实世界的人类活动。它最初创建确定最佳装运模式;它被称为运输问题。因此,它关心的是商品的运输从m起源I = 1, 2, 3,…m的n目的地j = 1, 2, 3,…,n。xij交付的起源我= 1,2,3,.....m所有目的地j = 1, 2, 3, .....n必须确定以这样一种方式,总体成本最小化。所有运输问题由几个目标函数和特征并不是单一目标进行了研究。 MOTP is a form of linear programming problem in which all of the objectives are in conflict with each other and the constraints are of the equal type. A vector minimum problem is the multi-objective cost way. Only the targets are fuzzy in the multi-objective fuzzy linear programming technique. For the cross problem, the fuzzy linear programming technique yields an optimal negotiated settlement. The concept and ideas of the "Fuzzy Incident Matrix" are defined in this thesis, and utilizing the definition theorems are proved from the adjacency matrix. Matrix properties such as commutative in addition and multiplication, associative in addition and multiplication, absorption, and distributive are also calculated and proven using nilpotent matrices. created a method for determining the answer to a multi-objective transportation problem for a linear multi-objective transportation problem, method for discovering all non-dominated solutions.

一些属性计算的关联图,然而其他人则完全图的计算。它可以显示对于某些类型的矩阵,以及连接或完整的图形。