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1998 Fiscal Year Final Research Report Summary

Studies on Parameter Identification Using Fuzzy Random Data

Research Project

Project/Area Number 08680473
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 UNIVERSITY,Faculty of Management, Professor, 経営学部, 教授 (60201745)

Project Period (FY) 1996 – 1998
KeywordsFuzzy Random Vectors / Set Representations of Fuzzy Sets / Multi-valued Logic / Theory of Correspondences / Statistical Moments
Research Abstract

In this research, a class of fuzzy random vectors(FRVCs) and their statistical moments have been introduced from the consistent viewpoint of vague perceptions of random phenomena, and some properties of FRVCs and their statistical moments up to second ones have been examined theoretically.
The features of proposed FRVCs are as follows :
1. Set representations of fuzzy sets are thoroughly adopted because of ilie feasibility for describing operations between FRVCs.
2. By adopting the family of compact convex correspondences as the set representation of a FRVCS, we have been able to introduce the reasonable definition of expectations of FRVCs, which is basically compatible with (scalar) fuzzy random variables proposed by Kwakernaak and is never obtained from their simple extensions.
3. The proposed concept of FRVCs as vague perceptions of random vectors may be, in some sense, a bridge between two major types of flizzy mndoin variables.
Furthermore, the following items should be investigated in the future :
1. Definitions of higher statistical moments of FRVCs and their estimators.
2. Statistical properties of FRVCS under more moderate conditions
3. Applications of the proposed approach to fuzzy random data obtained by vague perceptions of output processes of time series described by AR, MA and ARMA models and so on.
4. Identification of system parameters of time series models as mentioned above bv using fuzzy random data.

  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] 福田得夫: "On the Set Representation for Variance of Fuzzy Random Vectors" Proc. of the 35th SICE Annual Conf.1363-1368 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 福田得夫: "On a Modelling Method for Vague Perceptions of Random Phenomena" Proc. of the 4th EUFIT '96. 125-129 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 福田得夫: "On Fuzzy Random Vectors in Vague Perceptions of Random Phenomena and their Statistical Moments" Proc. of the 35th IEEE CDC. 2719-2724 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 福田得夫: "Fuzzy Random Data Obtained as Vague Perceptions of Random Phenomena" Statistical Methods in Control and Signal Processing (T.Katayama & S.Sugimoto Eds., Marcel Dekker. 299-326 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 福田得夫: "ある種のファジィ確率ベクトルについての一考察" 日本ファジィ学会誌. 10. 499-505 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 福田得夫: "On Law of Large Numbers for a Class of Fuzzy Random Vectors" Proc. of the 29th ISCIE Int. SSS. 45-50 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tokuo Fukuda: "On the Set Representation for Variances of Fuzzy Random Vectors" Proc.of the 35th SICE Annual Conf.1363-1368 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tokuo Fukuda: "On a Modelling Method for Vague Perceptions of Random Phenomena" Proc.of the 4th EUFIT'96. 124-129 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tokuo Fukuda: "On Fuzzy Random Vectors as Vague Perceptions of Random Phenomena and their Statistical Moments" Proc.of the 35th IEEE CDC. 2719-2724 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tokuo Fukuda: "Fuzzy Random Data Obtained as Vague Perceptions of Random Phenomena in 'Statistical Methods in Control and Signal Processing'(T.Katayama and S.Sugimoto Eds.)" Marcel Dekker Inc. (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tokuo Fukuda: "On a Class of Fuzzy Random Vectors" Journal of Japan Society for Fuzzy Theory and Systems. Vol.10. 499-505 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tokuo Fukuda: "On Law of Large Numbers for a Class of Fuzzy Random Vectors" Proc.of the 29th ISCIE Int.SSS. 45-50 (1998)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-12-08  

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