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On Stochastic System Modeling for Vague Random Data

Research Project

Project/Area Number 16K06433
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Control engineering/System engineering
Research InstitutionOtemon Gakuin University

Principal Investigator

Fukuda Tokuo  追手門学院大学, 経営学部, 教授 (60201745)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords曖昧不規則データ / ファジィランダム集合 / 曖昧性 / 不規則性 / 感性データ
Outline of Final Research Achievements

In this research, the author investigates numerically a class of two-dimensional fuzzy random sets (abbreviated as FRSs), which is one case of those proposed by the author as models of vague capricious perceptions of crisp phenomena.
First, the basic results concerned with two-dimensional FRSs as vague capricious perceptions of crisp phenomena are discuseed. Expectations of two-dimensional FRSs, their estimators, and distances between expectations and their estimators are also discussed. Finally, extending FRSs to vague capricious perceptions of crisp random phenomena, the estimates for expectations and their estimation errors are also numerically examined by simulation studies.

Academic Significance and Societal Importance of the Research Achievements

本研究は、「曖昧不規則データ」を観測過程とする確率システムの、未知パラメータやシステム構造を推定する手法を構築するための基礎を確立しようとするものであり、既存のファジィランダム集合、あるいはファジィ確率変数、あるいはファジィシステムに関する研究では全く見られない独創的なものである。また、このような観点からの研究は、観測(曖昧識別)の対象である現象の情報が、「曖昧識別」によりどの程度失われるのか、あるいはそのような「曖昧識別」であっても、どの程度元の情報を復元可能であるかを検討する際の基礎理論として有用であることが期待される。

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (7 results)

All 2019 2018 2017 2016

All Journal Article (4 results) (of which Peer Reviewed: 3 results,  Open Access: 3 results) Presentation (3 results) (of which Int'l Joint Research: 3 results)

  • [Journal Article] On Two-dimensional Fuzzy Random Data with Polygon-form Level Sets as Vague Perception of Crisp Random Phenomena2019

    • Author(s)
      Tokuo Fukuda
    • Journal Title

      Proc. of the 50th ISCIE International Symposium on Stochastic Systems Theory and Its Applications

      Volume: 印刷中

    • NAID

      130007777074

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On Two-Dimensional Fuzzy Random Data as Vague Perceptions of Random Phenomena2018

    • Author(s)
      Fukuda Tokuo
    • Journal Title

      Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications

      Volume: 2018 Issue: 0 Pages: 34-39

    • DOI

      10.5687/sss.2018.34

    • NAID

      130007580020

    • ISSN
      2188-4730, 2188-4749
    • Year and Date
      2018-06-15
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On Two-Dimensional Fuzzy Random Data as Vague Perceptions of Crisp Phenomena2017

    • Author(s)
      Tokuo Fukuda
    • Journal Title

      Proceedings of the 48th ISCIE Intl. Symp. on Stochastic Systems Theory and Its Appl.

      Volume: 1 Pages: 123-130

    • NAID

      130006192979

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Simulation Studies for Vague Random Perceptions of Two Dimensional Crisp Vectors-Cases of Disk-form Level Sets-2016

    • Author(s)
      Tokuo Fukuda
    • Journal Title

      Otemon Business Review

      Volume: 22 Pages: 157-181

    • NAID

      40020979566

    • Related Report
      2016 Research-status Report
  • [Presentation] On Two-dimensional Fuzzy Random Data with Polygon-form Level Sets as Vague Perception of Crisp Random Phenomena2018

    • Author(s)
      Tokuo Fukuda
    • Organizer
      The 50th ISCIE International Symposium on Stochastic Systems Theory and Its Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On Two-Dimensional Fuzzy Random Data as Vague Perceptions of Random Phenomena2017

    • Author(s)
      Tokuo Fukuda
    • Organizer
      The 49th ISCIE Intl. Symp. on Stochastic Systems Theory and Its Appl.
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] On Two-Dimensional Fuzzy Random Data as Vague Perceptions of Crisp Phenomena2016

    • Author(s)
      Tokuo Fukuda
    • Organizer
      the 46th ISCIE Intl. Symp. on Stochastic Systems Theory and Its Appl.
    • Place of Presentation
      福岡工業大学
    • Year and Date
      2016-11-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research

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Published: 2016-04-21   Modified: 2020-03-30  

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