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

Research Project

Project/Area Number 11680461
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 社会システム工学
Research InstitutionOtemon 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
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 2001: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2000: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1999: ¥600,000 (Direct Cost: ¥600,000)
KeywordsFuzzy Random Vectors / Fuzzy Stochastic Systems / Vague Random Phenomena / Statistical Moments / Parameter Estimation / ファジィ確立ベクトル / プログラムパッケージ / ファジィデータ
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.

Report

(4 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (18 results)

All Other

All Publications (18 results)

  • [Publications] Tokuo Fukuda: "On Parameter Identification fo Time Series Models Using Fuzzy Random Data Obtained as Vague Perceptions of Type II"Proc. of the 31st ISCIE Intl. Symp. on Stochastic System Theory and Its Applications. 135-140 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 福田 得夫: "曖味不規則データを用いた1階自己回帰モデルのパラメータ推定に関するシミュレーション実験研究"遣手門経営論集. 6. 53-75 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Tokuo Fukuda: "On Fuzzy Statistical Analysis for Vague Random Data Associated with Human Feelings"Proc. of the 9th IEEE Intl. Workshop on Robot and Human Interactive Communication. 126-131 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 福田 得夫: "人の感性に関するデータの統計学的処理のためのブログラムについて"追手門経営論集. 7. 67-95 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Tokuo Fukuda: "On Statistical Properties of Fuzzy Random Vectors of Type II"Proc. of 32nd ISCIE Intl. Symp. on Stochastic System Theory and Its Applications. 287-292 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Tokuo Fukuda: "On Parameter Identification of Time Series Models using Fzzy Random Data Obtained a sVague Perceptions"Proc. Of the 31st ISCIE Intl. Symp. On Stochasti System Theory and Its Applications. 135-140 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Tokuo Fukuda: "On Simulation Studies for Parameter Identification of First Order Autoregressive Models Using Vague Random Data"Otemon Management Review. Vol.6, No.1. 53-75 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Tokuo Fukuda: "On Fuzzy Statistical Analysis for Vague Random Data Associated with Human Feelings"proc. Of the 9th IEEE Intl. Workshop on Robot and Human Interactive Communication. 126-131 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Tokuo Fukuda: "On Computer Program Package for Statistical Treatment of Data Associated with Human Feelings"Otemon Management Review. Vol.7, No.1. 67-95 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Tokuo Fukuda: "On Statistical Properties of Fuzzy Random vectors of Type II"Proc. Of the 32nd ISCIE Intl. Symp. On Stochastic System Theory and Its Applications. 287-292 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 福田 得夫: "人の感性に関するデータの統計学的処理のためのプログラムについて"追手門経営論集. 7・1. 67-95 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Tokuo Fukuda: "On Statistical Properties of Fuzzy Random Vectors of Type II"Proc. of 32nd ISCIE Intl. Symp. on Stochastic System Theory and Its Applications. 287-292 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 福田得夫: "On Parameter Identification of Time Series Models Using Fuzzy Random Data Obtained as Vague Perceptions"Proc. of the 31st ISCIE Intl. Symp. of Stochastic Systems Theory and Its Applications (SSS'99). 135-140 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 福田得夫: "曖昧不規則データを用いた1階自己回帰モデルのパラメータ推定に関するシミュレーション実験研究について"追手門経営論集. 6・1. 53-75 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 福田得夫: "On Fuzzy Statistical Analysis for Vague Random data Associated with Human Feelings"Proc. of 9th IEEE Intl. Workshop on Robot and Human Interactive Communication (RO-MAN2000). 126-131 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 福田得夫: "On Statistical Properties of Fuzzy Random Vectors of Type II"Preprints of the 32nd ISCIE Intl. Symp. of Stochastic Systems Theory and Its Appl.(SSS2000). 110-111 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 福田得夫: "曖昧時系列データを用いた統計学的モーメントの推定について"第9回インテリゲント・システム・シンポジウム. 788-793 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 福田得夫: "On Parmeter Identification of Time Series Models Using Fuzzy Random data Obtained as Vague Perceptions"31th Stochastic Systems Theory and Its Applications. 47-48 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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