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Application of Fuzzy Theory to Quality Control

Research Project

Project/Area Number 63550106
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 機械工作
Research InstitutionUniversity of Osaka Prefecture

Principal Investigator

OHTA Hiroshi  Univ. of Osaka Prefecture, College of Engineering, Professor, 工学部, 教授 (00081414)

Project Period (FY) 1988 – 1989
Project Status Completed (Fiscal Year 1989)
Budget Amount *help
¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1989: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1988: ¥800,000 (Direct Cost: ¥800,000)
KeywordsMembership Function / Fuzzy Sets Theory / Sampling Inspection / Producer's Risk / Consumer's Risk / Life Test / Fixed-Number Test / Fixed-Time Test / メンバーシップ関数 / ファジィ理論 / 信頼性試験 / 個数打切り
Research Abstract

The results of this research can be summarized as follows:
1. In the single sampling attribute plans, one would like the producer's and consumer's risks to equal the specified values, respectively, but this is usually not possible since the sample size and the acceptance number must be integers. Therefore, a new design procedure for relaxing the conditions on the risks subjectively the membership functions used in fuzzy methodologies is proposed. The proposed procedure is general because it includes sampling plans based on the minimax criterion and exact sampling plans in the special cases.
2. The proposed design procedure, however, includes iterative calculations, then it is rather complex and troublesome. Therefore, a more simplified design procedure based on the fuzzy criterion is proposed.
3. In the design for sampling inspection plans, the minimization of sample size is also required. However, the requirement to lessen sample size conflicts with the requirement to lessen the producer's and consumer's risks. Accordingly, the trade- off between the reduction of sample size and the relaxation of the conditions on the risks becomes a serious problem. A new design procedure for the single attribute plan based on fuzzy sets theory is also presented by means of formulating this trade-off problem as a fuzzy mathematical programming.
4. On the fixed-number life test plan in which exponerytial life times are assumed, a new design procedure which keeps fuzzy-balance between the producer's risk and the consumer's risk is presented. Furthermore, a closed form formula is also given for the purpose of simplifying the design procedure.
5. A fixed-time life test is formulated based on fuzzy sets theory. Acceptable MTBF and rejectable MTBF are represented in terms of,fuzzy concept, and the Bayes' theorem plays an important role in the formulation. The proposed life test takes effect when it is difficult to specify acceptable MTBF and rejectable MTBF strictly.

Report

(3 results)
  • 1989 Annual Research Report   Final Research Report Summary
  • 1988 Annual Research Report
  • Research Products

    (19 results)

All Other

All Publications (19 results)

  • [Publications] Hiroshi Ohta: "Determination of Single-Sampling-Attribute Plans based on Membership Functions" International Journal of Production Research. 26. 1477-1485 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Hiroshi Ohta: "A Note on the Fuzzy Design Procedure for Single Sampling Attribute Plans" Bulletin of the University of Osaka Prefecture,Sevies A. 38. 59-67 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Akihiro Kanagawa: "A Design for Single Sampling Attribute Plan based on Fuzzy Sets Theory" Fuzzy Sets and Systems.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Akihiro Kanagawa: "Fuzzy Design for Fixed-Number Life Tests" IEEE Trans. on Reliability.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 金川明弘: "ファジィ理論に基づく信頼性受け入れ検査の定式化" 電子情報通信学会論文誌(A).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Hiroshi Ohta: "Determination of Single-Sampling-Attribute Plans based on Membership Functions" International Journal of Production Research, Vol.26, pp.1477-1485, 1988.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Hiroshi Ohta: "A Note on the Fuzzy Design Procedure for Single Sampling Attribute Plans" Bulletin of the University of Osaka Prefecture, Series A, Vol.38, pp.59-67, 1989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Akihiro Kanagawa: "A Design for Single Sampling Attribute Plan based on Fuzzy Sets Theory" Fuzzy Sets and Systems.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Akihiro Kanagawa: "Fuzzy Design for Fixed-Number Life Tests" IEEE Trans. on Reliability.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Akihiro Kanagawa: "A Formulation of Reliability Acceptance Life Test based on Fuzzy Sets Theory" The Transactions on the Institute of Electronics, Information and Communication Engineering.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Hiroshi Ohta: "A Note on the Fuzzy Design Procedure for Single Sampling Attribute Plans" Bulletin of the University of Osaka Prefecture Series A. 38. 59-67 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Akihiro Kanagawa: "A Design for Single Sampling Attribute Plan based on Fuzzy Sets Theory" Fuzzy Sets and Systems.

    • Related Report
      1989 Annual Research Report
  • [Publications] Akihiro Kanagawa: "Fuzzy Design for Fixed-Number Life Tests" IEEE Trans.on Reliability.

    • Related Report
      1989 Annual Research Report
  • [Publications] 金川明弘: "ファジィ理論に基づく信頼性受け入れ検査の定式化" 電子情報通信学会論文誌(A).

    • Related Report
      1989 Annual Research Report
  • [Publications] Hiroshi Ohta: Proceedings of Annual Conference on Operations Research and Management Science,Busan,Korea,1988. 33-37 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] Hiroshi Ohta: Internatinal Journal of Production Research. 26. 1477-1485 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] 太田宏: 日本品質管理学会誌.

    • Related Report
      1988 Annual Research Report
  • [Publications] Akihiro Kanagawa: IEEE Trans.on Reliability.

    • Related Report
      1988 Annual Research Report
  • [Publications] Akihiro Kanagawa: Fuzzy Sets and Systems.

    • Related Report
      1988 Annual Research Report

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Published: 1988-04-01   Modified: 2016-04-21  

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