Studies on System Modelling Using Vague Random Data - Simulation Oriented Research -

本文主要从数值的角度综合研究了两类模糊随机向量(FRVCs)和一类模糊随机过程(FSS)，其中两类FRVCs和FSS中的一类被认为是模糊感知清晰随机现象的数学模型，另一类FRVCs被认为是内在同时存在的模糊随机现象的模型，如国民经济状况、人类生活状况等，并给出了统计矩的估计。为了进一步研究FRVC的统计矩估计的渐近性质和系统模型中未知系统参数的估计的渐近性质，我们引入了FRVC序列的平稳性、遍历性和模糊性等概念，并给出了可行的形式。在文13所述的理论背景下，我们必须开发出更有效和可行的估计统计矩和未知系统参数的程序。使用改进的程序，将有可能研究经济、管理领域中复杂的模糊随机现象。和其他社会科学。

In this research, two classes of fuzzy random vectors(FRVCs) and a class of fuzzy stochastic processes(FSSs) are synthetically investigated mainly from the numerical viewpoints, where one of two classes of FRVCS and that of FSSs are considered as the mathematical models for vague perceptions of crisp random phenomena, and another class of FRVCs is considerd as those of intrinsically simultaneous vague random pehnomena such as the states of national economics, of humans feeeiings and so onThe estimates for statistical moments of the proposed FRVCs and FSSs, and those of unknown parameters in the FSS models such as fuzzy time series ones have been investigated numericaiiy and applied to the real fuzzy random data associated with the tastes of bicycle designsFor further reaserch, the following items will be important:1. In order to investigate further the asymptotic properties of estimators for statistical moments of FRVCs and those of unknown system parameters in the system models, we have to introduce the concepts of the stationarity, ergodicity and fuzzy martingaies and so on for the sequbnces of FRVCs with feasible forms for our porpose.2. We have to develope more effective and feasible procedures for estimating statistical moments and unknown system parameters with the theoretical background mentioned in 13. Using improved procedures, it will be possible to investigate the intrincic vague random phenornena in the fields of economic, management. and other social sciences.