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Robust Multiple Criteria Decision Aiding Using Interval Models

Research Project

Project/Area Number 17K18952
Research Category

Grant-in-Aid for Challenging Research (Exploratory)

Allocation TypeMulti-year Fund
Research Field Social systems engineering, Safety engineering, Disaster prevention engineering, and related fields
Research InstitutionOsaka University

Principal Investigator

INUIGUCHI MASAHIRO  大阪大学, 基礎工学研究科, 教授 (60193570)

Project Period (FY) 2017-06-30 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥6,110,000 (Direct Cost: ¥4,700,000、Indirect Cost: ¥1,410,000)
Fiscal Year 2019: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2018: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2017: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords階層的意思決定法(AHP) / 区間解析 / 正規性条件 / 一対比較 / Dempster-Shafer理論 / UTA / 線形計画法 / 選好モデリング / 階層的意思決定法 / 区間重要度 / 順序付け / 証拠理論 / 加法的効用関数 / SMAA / ファジィ分割 / 選好関係 / 正規性 / 区間効用モデル / 順序回帰 / 区間モデル / AHP / 多基準意思決定 / 線形計画問題
Outline of Final Research Achievements

For decision aiding under multiple criteria, we need to model the decision maker's preference using preference data.In realworld problems, given preference data is often inconsistent and vague due to the insufficiency of information and knowledge. In this research, adopting an interval model to represent the vagueness, we propose estimation methods for the interval model and examine their usefulness. Several overlooked problems in the literatures are revealed and investigated theoretically.It is demonstrated that a useful interval model is estimated by the proposed estimation methods from the conventional pairwise comparison data. Moreover, the advantage of the proposed interval methods over the conventional methods is shown in the estimation of alternative ranking with consideration of vagueness.

Academic Significance and Societal Importance of the Research Achievements

本研究では,複数の基準を考慮して望ましい解を求める問題を考える.決定支援に必要な意思決定者の選好は,従来,決定論的なモデルで表されてきた.しかし,人の評価の曖昧さを鑑みれば選好を区間モデルで表すことが考えられる.決定論的モデルでは,平均的な評価による支援となる一方,区間モデルでは,可能な評価を考慮した決定支援が可能となる.従来法と同じ情報の下での区間モデルの定め方を提案するとともに,不確実性の下での最大リグレット最小化や最小利得最大化などを想定した場合には,提案法の方が良い推定を与えることを示した.また,従来見過ごされてきた意外で根本的な問題点を指摘し,その解決に役立つ理論的な結果を示した.

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (29 results)

All 2020 2019 2018 2017 Other

All Int'l Joint Research (4 results) Journal Article (1 results) (of which Peer Reviewed: 1 results,  Open Access: 1 results) Presentation (24 results) (of which Int'l Joint Research: 18 results)

  • [Int'l Joint Research] カターニア大学(イタリア)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] ポズナン工科大学(ポーランド)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] University of Catania(イタリア)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] Poznan University of Technology(ポーランド)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Improving Interval Weight Estimations in Interval AHP by Relaxations2017

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

      Journal of Advanced Computational Intelligence and Intelligent Informatics

      Volume: 21 Issue: 7 Pages: 1135-1143

    • DOI

      10.20965/jaciii.2017.p1135

    • NAID

      130007520176

    • ISSN
      1343-0130, 1883-8014
    • Year and Date
      2017-11-20
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [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] Relations between Normalized Interval Vector and Belief Functions2019

    • Author(s)
      Masahiro Inuiguchi
    • Organizer
      The 16th International Conference on Modeling Decisions for Articial Intelligence (MDAI 2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] The Improved Interval Weight Estimation Method from a Pairwise Comparison Matrix and the Advantages of Interval Evaluations2019

    • Author(s)
      Masahiro Inuiguchi, So Komatsu
    • Organizer
      The 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019
    • 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
      The 22nd Czech-Japan Seminar on Data Analysis and Decision Making
    • Related Report
      2019 Annual Research Report
  • [Presentation] Interval Weight Estimation Methods Satisfying Desirable Properties in Interval AHP2019

    • Author(s)
      Masahiro Inuiguchi
    • Organizer
      The 2019 Joint World Congress of the International Fuzzy Systems Association and the Annual Conference of the North American Fuzzy Information Processing Society
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] SMAA法から求められる選好確率に整合する区間UTAモデル2019

    • Author(s)
      向井雄二, 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] 一対比較行列が与えられた下でのいくつかの区間重要度推定法の収束性能2019

    • Author(s)
      鳥巣一晟, 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] Interval weight estimation can work better than the conventional weight estimation in AHP2019

    • Author(s)
      Masahiro Inuiguchi, So Komatsu
    • Organizer
      The 20th International Symposium on Advanced Intelligent Systems and 2019 International Conference on Biometrics and Kansei Engineering
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Ranking Alternatives with Tolerance and Reduction in the Setting of Interval AHP2018

    • Author(s)
      Masahiro Inuiguchi
    • Organizer
      The 11th Workshop on Uncertainty Processing
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] A Fuzzily Partitioned Interval Function Model for Ordinal Regression2018

    • Author(s)
      Masahiro Inuiguchi, Hiroki Inoue
    • Organizer
      4th International Conference on Computer and Information Sciences (ICCOINS)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Evidence theoretic view of interval AHP2018

    • Author(s)
      Masahiro Inuiguchi
    • Organizer
      88th Meeting of the European Working Group "Multiple Criteria Decision Aiding"
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Interval UTA method handling highly probable preferences between alternatives estimated by stochastic multicriteria acceptability analysis2018

    • Author(s)
      Masahiro Inuiguchi, Yuji Mukai, Roman Slowinski, Salvatore Greco
    • Organizer
      The 15th International Conference on Modeling Decisions for Artificial Intelligence
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Relation between Normalized Interval Vector and Imprecise Brief Function in Interval AHP2018

    • Author(s)
      Masahiro Inuiguchi
    • Organizer
      The 21st Czech-Japan Seminar on Data Analysis and Decision Making
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Comparison of Estimated Preference Relations between Interval UTA and SMAA2018

    • Author(s)
      Masahiro Inuiguchi, Yuji Mukai, Roman Slowinski, Salvatore Greco
    • Organizer
      The 21st Czech-Japan Seminar on Data Analysis and Decision Making
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Accuracy Score Convergence of Estimated Interval Weights in Interval AHP2018

    • Author(s)
      Issei Torisu, Masahiro Inuiguchi
    • Organizer
      The 21st Czech-Japan Seminar on Data Analysis and Decision Making
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Geometric Mean Approaches to Interval Priority Estimation and Their Comparisons2018

    • Author(s)
      Maho Yamaguchi, Masahiro Inuiguchi
    • Organizer
      The 21st Czech-Japan Seminar on Data Analysis and Decision Making
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Increasing Convergence of the Quality of Estimated Interval Weight Vector in Interval AHP2018

    • Author(s)
      Issei Torisu, Masahiro Inuiguchi
    • Organizer
      2018 Joint 10th International Conference on Soft Computing and Intelligent Systems and 19th International Symposium on Advanced Intelligent Systems (SCIS & ISIS 2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Estimation Methods of Interval Weights Centered at Geometric Mean from a Pairwise Comparison Matrix2018

    • Author(s)
      Maho Yamaguchi, Masahiro Inuiguchi
    • Organizer
      2018 Joint 10th International Conference on Soft Computing and Intelligent Systems and 19th International Symposium on Advanced Intelligent Systems (SCIS & ISIS 2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] An Evidence Theoretic Approach to Interval Analytic Hierarchy Process2018

    • Author(s)
      Masahiro Inuiguchi
    • Organizer
      The Sixth International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Non-parametric Interval Weight Estimation Methods from a Crisp Pairwise Comparison Matrix2017

    • Author(s)
      Masahiro Inuiguchi, Shigeaki Innan
    • Organizer
      Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Maximizing Minimum Range Methods for Interval Weight Estimation from a Given Pairwise Comparison Matrix from a Given Pairwise Comparison Matrix2017

    • Author(s)
      Masahiro Inuiguchi, Shigeaki Innan
    • Organizer
      The 20th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Comparison among several parameter-free interval weight estimation methods from a crisp pairwise comparison matrix2017

    • Author(s)
      Masahiro Inuiguchi, Shigeaki Innan
    • Organizer
      The 14th International Conference on Modeling Decisions for Artificial Intelligence
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 区間AHPにおける区間確率と証拠理論の繋がり2017

    • Author(s)
      乾口雅弘
    • Organizer
      日本知能情報ファジィ学会・第28回ソフトサイエンス・ワークショップ
    • Related Report
      2017 Research-status Report
  • [Presentation] 区間AHPにおける幾何平均法を用いた区間重要度推定2017

    • Author(s)
      山口真帆, 乾口雅弘
    • Organizer
      日本知能情報ファジィ学会・第28回ソフトサイエンス・ワークショップ
    • Related Report
      2017 Research-status Report

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Published: 2017-07-21   Modified: 2021-02-19  

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