基于m维向量空间n分量分段线性经济数学模型的不确定条件下经济的计算机模拟和多变量预测软件的基础

A. Aliyev
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摘要

在过去的15年中,在周期性文献中出现了一系列科学出版物,这些出版物为在有限维向量空间中不确定条件下创建分段线性经济数学模型的新的科学方向奠定了基础。在有限维向量空间中,特别是在欧几里得空间中,在不确定条件下以数学模型的形式表示经济过程,并与以下重要问题的完整说明的复杂性有关:发生的经济过程的空间同质性,不完整的宏观,微观和社会政治信息;多因素经济指标的时变、持续时间和变化率。数学计划中的上述方法将给定问题的解决简化为建立非常复杂的非线性经济数学模型。在这方面,在这些工作中建立了所有可能的经济过程,考虑到有限维向量空间中的不确定性因素,应在时空方面明确确定。由于经济过程在有限维矢量空间中不确定条件下的时空确定性原理,才有可能系统地揭示发生过程的动力学和结构。此外,对正在发生的经济过程施加一系列软化的附加条件,可以在有限维向量空间中对其进行分类,也可以提出一种新的基于科学的方法,在不确定条件下对经济过程进行多变量预测及其在有限维向量空间中的控制,特别是在未考虑因素影响方面。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bases of software for computer simulation and multivariante prediction of economic even at uncertainty conditions on the base of n-component piecewise-linear economic-mathematical models in m-dimensional vector space
For the last 15 years in periodic literature there has appeared a series of scientific publications that has laid the foundation of a new scientific direction on creation of piecewise-linear economic-mathematical models at uncertainty conditions in finite dimensional vector space. Representation of economic processes in finitedimensional vector space, in particular in Euclidean space, at uncertainty conditions in the form of mathematical models in connected with complexity of complete account of such important issues as: spatial in homogeneity of occurring economic processes, incomplete macro, micro and social-political information; time changeability of multifactor economic indices, their duration and their change rate. The above-listed one in mathematical plan reduces the solution of the given problem to creation of very complicated economicmathematical models of nonlinear type. In this connection, it was established in these works that all possible economic processes considered with regard to uncertainty factor in finite-dimensional vector space should be explicitly determined in spatial-time aspect. Owing only to the stated principle of spatial-time certainty of economic process at uncertainty conditions in finite dimensional vector space it is possible to reveal systematically the dynamics and structure of the occurring process. In addition, imposing a series of softened additional conditions on the occurring economic process, it is possible to classify it in finite-dimensional vector space and also to suggest a new science-based method of multivariant prediction of economic process and its control in finite-dimensional vector space at uncertainty conditions, in particular, with regard to unaccounted factors influence.
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