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Representations and calculations of uncertainty for decision aid considering human factors and utilization of ambiguity

Research Project

Project/Area Number 18H01658
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 25010:Social systems engineering-related
Research InstitutionOsaka University

Principal Investigator

乾口 雅弘  大阪大学, 基礎工学研究科, 教授 (60193570)

Project Period (FY) 2018-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2021: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords不確実性 / ファジィ集合 / 線形計画法 / イルノウン集合 / 階層分析法 / 多基準決定解析 / ルール抽出 / 匿名性 / ファジィ線形計画法 / イルノウン情報 / 不精密ルール / ロバスト性 / 必然性測度 / 区間AHP / 匿名化 / トレランス分析 / ファジィ計画法 / 可能性理論 / ロバストな解 / データプライバシー / 証拠理論 / 多基準意思決定 / ラフ集合 / プライバシー保護 / ロバスト最適解 / 階層的意思決定法 / 決定支援
Outline of Annual Research Achievements

不明確な係数をもつ線形計画問題に関しては、目的関数の係数ベクトルの変動範囲が最小範囲と最大範囲で定められる矩形のファジィ数および斜交ファジィベクトルで与えられる場合に、基底解のロバスト最適性の度合が簡単に計算できることを示し、これらを拡張した結果とともに英文学術論文として国際学術誌に投稿し年度内に掲載決定された。一方、最小、通常、最大の三つの範囲で与え、制約や目的のロバスト性に対する階層的な要求を与えるアプローチに関しては、基本モデルを英文学術専門書の論文として寄稿し、掲載決定された。また、一般モデルについて、完成した理論に基づき数値例を作成した。
最小範囲と最大範囲とを示す2重区間で一対比較行列が与えられる階層分析法に関しては、不整合性を扱う3手法を提案し、これらが線形計画法により容易に扱えることを示した。また、決定解析法を提案するとともに、従来の類似手法との相違を示した。提案法では、単に推奨される代替案順序を示すのではなく、種々の考え方に基づき、決定者が支持しうる代替案順序の分布が得られる。これにより優劣判断の躊躇い状況を多面的に把握することができるので、今後、様々な展開が可能となる。これらの成果を英文学術論文として国際学術誌に投稿した。
不精密ルールを用いたプライバシー保護手法については、今まで検討してきた方法とは異なったアイデアから、2クラス分類データからのk-匿名ルールを抽出する方法を提案した。この方法は、k-匿名性を満たさないルールを一つずつ修正していくアプローチで、k-匿名な精密ルールの抽出が、従来法よりずっと高速かつ簡潔に行え、得られたルールの有用性も高いことが分かった。k-匿名な不精密ルールの抽出における効果はそれほど大きくなかったので、更なる検討が必要になる。これらの成果を、国内学会および国際会議で発表した。

Research Progress Status

令和3年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

令和3年度が最終年度であるため、記入しない。

Report

(4 results)
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report

Research Products

(30 results)

All 2022 2021 2020 2019 2018 Other

All Int'l Joint Research (4 results) Journal Article (8 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 7 results,  Open Access: 2 results) Presentation (18 results) (of which Int'l Joint Research: 12 results,  Invited: 3 results)

  • [Int'l Joint Research] Polytechnic of Coimbra/INESC Coimbra/Universitry of Coimbra(ポルトガル)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] Polytechnic Institute of Coimbra(ポルトガル)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Maynooth University(アイルランド)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Hamilton Institute, Maynooth University(アイルランド)

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Robust optimality analysis of non-degenerate basic feasible solutions in linear programming problems with fuzzy objective coefficients2022

    • Author(s)
      Masahiro Inuiguchi, Zhenzhong Gao, Carla Oliveira Henriques
    • Journal Title

      Fuzzy Optimization and Decision Making

      Volume: -

    • DOI

      10.1007/s10700-022-09383-2

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] An Analysis to Treat the Degeneracy of a Basic Feasible Solution in Interval Linear Programming2022

    • Author(s)
      Zhenzhong Gao, Masahiro Inuiguchi
    • Journal Title

      Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2022

      Volume: LNCS 13199 Pages: 130-142

    • DOI

      10.1007/978-3-030-98018-4_11

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Decision Analysis with the Set of Normalized Triangular Fuzzy Weight Vectors in Fuzzy AHP2022

    • Author(s)
      Shigeaki Innan, Masahiro Inuiguchi
    • Journal Title

      Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2022

      Volume: LNCS 13199 Pages: 67-78

    • DOI

      10.1007/978-3-030-98018-4_6

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fuzzy Linear Programming with General Necessity Measures2022

    • Author(s)
      Masahiro Inuiguchi
    • Journal Title

      Intelligent Decision Support Systems: Combining Operations Research and Artificial Intelligence

      Volume: -

    • Related Report
      2021 Annual Research Report
  • [Journal Article] A Minimax Criterion Approach to Treat the Inexactness in Feasible Set of a Linear Programming Problem2021

    • Author(s)
      Zhenzhong Gao, Masahiro Inuiguchi
    • Journal Title

      Joint Proceedings of the 19th IFSA, the 12th EUSFLAT, and the 11th AGOP

      Volume: 無し Pages: 258-265

    • DOI

      10.2991/asum.k.210827.035

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Estimating the Optimal Probability of a Candidate Basic Solution in Stochastic Linear Programming2021

    • Author(s)
      Zhenzhong Gao, Masahiro Inuiguchi
    • Journal Title

      Proceedings of 2021 60th Annual Conference of the Society of Instrument and Control Engineers of Japan

      Volume: 無し Pages: 640-643

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Necessity Measure of Fuzzy Inclusion Relation in Linear Programming Problems2021

    • Author(s)
      Zhenzhong Gao, Masahiro Inuiguchi
    • Journal Title

      Modeling Decisions for Artificial Intelligence. MDAI 2021

      Volume: LNCS 12898 Pages: 131-140

    • DOI

      10.1007/978-3-030-85529-1_11

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Data anonymization with imprecise rules and its performance evaluations2019

    • Author(s)
      Masahiro Inuiguchi, Hiroki Ichida, Vicenc Torra
    • Journal Title

      Journal of Ambient Intelligence and Humanized Computing

      Volume: 無し

    • DOI

      10.1007/s12652-019-01468-y

    • NAID

      130007554745

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Backtracking approaches to k-anonymous rule induction method for binary classied data tables2022

    • Author(s)
      Taichi Chujo, Masahiro Inuiguchi
    • Organizer
      The Ninth International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making (IUKM 2022)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Decision Analysis with Non-unique Solutions in Interval AHP2021

    • Author(s)
      Masahiro Inuiguchi, Akiko Hayashi, Shigeaki Innan
    • Organizer
      31st European Conference On Operational Research (EURO 2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A Simple Method for Robustness Analysis of Nondegenerate Optimal Basic Solutions in Linear Programming Problems with Fuzzy Objective Coefficients2021

    • Author(s)
      Zhenzhong Gao, Masahiro Inuiguchi, Carla Margarida Saraiva Oliveira Henriques
    • Organizer
      31st European Conference On Operational Research (EURO 2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Decision analysis based on a pairwise comparison matrix showing rough relative importance2021

    • Author(s)
      Masahiro Inuiguchi, Shigeaki Innan
    • Organizer
      The 18th International Conference on Modeling Decisions for Artificial Intelligence (MDAI 2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 2クラス分類データにおけるk-匿名ルール抽出法2021

    • Author(s)
      中條 太壱,乾口 雅弘
    • Organizer
      第37回ファジィシステムシンポジウム
    • Related Report
      2021 Annual Research Report
  • [Presentation] A simple method for optimality analysis in interval linear programming2021

    • Author(s)
      Zhenzhong Gao, Masahiro Inuiguchi
    • Organizer
      第31回ソフトサイエンス・ワークショップ & 第25回 曖昧な気持ちに挑むワークショップ
    • Related Report
      2020 Annual Research Report
  • [Presentation] イルノウン一対比較データに基づく多基準決定支援2021

    • Author(s)
      乾口 雅弘,印南 成章
    • Organizer
      第31回ソフトサイエンス・ワークショップ & 第25回 曖昧な気持ちに挑むワークショップ
    • Related Report
      2020 Annual Research Report
  • [Presentation] Interval Probability Model and Its Relation to Evidence Theory2020

    • Author(s)
      Masahiro Inuiguchi
    • Organizer
      The 28th International Conference of Forum for Interdisciplinary Mathematics: Synergies in Computational, Mathematical, Statistical and Physical Sciences
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 正規な区間重要度と証拠理論2020

    • Author(s)
      乾口雅弘
    • Organizer
      第30回ソフトサイエンス・ワークショップ
    • Related Report
      2019 Annual Research Report
  • [Presentation] Rough Set Approaches to Data Mining2019

    • Author(s)
      Masahiro Inuiguchi
    • Organizer
      15th Annual Conference on Theory and Applications of Models of Computation
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Relations between Normalized Interval Vector and Belief Functions2019

    • Author(s)
      Masahiro Inuiguchi
    • Organizer
      The 16th International Conference on Modeling Decisions for Articial Intelligence
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Normalized Interval Vectors are Divided into Two Classes in View of Belief Functions2019

    • Author(s)
      Masahiro Inuiguchi
    • Organizer
      22nd Czech-Japan Seminar on Data Analysis and Decision Making
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Inducing k-anonymus Binary Cassification Rules from Data Tables2019

    • Author(s)
      Yoshiharu Uchida, Masahiro Inuiguchi
    • Organizer
      22nd Czech-Japan Seminar on Data Analysis and Decision Making
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 不精密ルールを用いた2クラス分類表からのk-匿名ルールの抽出2019

    • Author(s)
      内田圭春,乾口雅弘
    • Organizer
      第35回 ファジィ システム シンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] 2クラス分類表に対するk-匿名ルールの抽出2019

    • Author(s)
      内田圭春,乾口雅弘
    • Organizer
      第63回システム制御情報学会研究発表講演会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Utilization of Imprecise Rules for Privacy Protection2019

    • Author(s)
      Masahiro Inuiguchi, Keisuke Washimi
    • Organizer
      The Seventh International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Data anonymization with imprecise rules and its performance evaluations2018

    • Author(s)
      Masahiro Inuiguchi, Hiroki Ichida, Vicenc Torra
    • Organizer
      The 15th International Conference on Modeling Decisions for Artificial Intelligence
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Flexible Treatments of Robust Constraints with Necessity Measures in Fuzzy Linear Programming2018

    • Author(s)
      Masahiro Inuiguchi
    • Organizer
      The 6th Asian Conference on Nao-Asia 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited

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Published: 2018-04-23   Modified: 2022-12-28  

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