2001 Fiscal Year Final Research Report Summary
Studies on System Modelling Using Vague Random Data - Simulation Oriented Research -
| Project/Area Number |
11680461
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
社会システム工学
|
|---|
| Research Institution | Otemon Gakuin University |
|---|
Principal Investigator |
FUKUDA Tokuo OTEMON GAKUIN UNIVERISTY, Faculty of Management, Professor, 経営学部, 教授 (60201745)
|
|---|
| Project Period (FY) |
1999 – 2001
|
| Keywords | Fuzzy Random Vectors / Fuzzy Stochastic Systems / Vague Random Phenomena / Statistical Moments / Parameter Estimation |
|---|
| Research Abstract |
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 on
The 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 designs
For 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 1
3. Using improved procedures, it will be possible to investigate the intrincic vague random phenornena in the fields of economic, management. and other social sciences.
|
