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Research on Methods of Fuzzy Portfolio Selection with Limited Number of Securities

Research Project

Project/Area Number 08680471
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 InstitutionOsaka Institute of Technology

Principal Investigator

WATADA Junzo  Osaka Institute of Technology Faculty of Engineering.Professor, 工学部, 教授 (10158610)

Project Period (FY) 1996 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1998: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1997: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1996: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsFuzzy portfolio selection / Fuzzy mathematical programming / Fuzzy quadratic programming / Genetic algorithm / Mean-variance analysis / Boltzmann Machine / Hierarchical Boltzmann Machine / Selection into a limited number / ファジィ理論 / 希求水準 / ニューラルネットワーク
Research Abstract

This research has been pursued and accomplished for three years. We have worked on developing the solutions of problems cleared and remained in the two previous researches and have obtained the following results.
1)The interviews with experts on investment in the first and second research years cleared that it is important to reflect the judgment obtained from experts on investment on the decision-making.
2)Especially, we successfully imprinented expectation level of invest experts in the model of fuzzy portfolio selection.
3)As the main objective of this research, we developed the fuzzy model that can enable us to select the limited number of stocks out of huge stock market as the result.
4)As dealing of stocks easily disturbs the stock market and we should take the dealing fee into consideration. it is preferred to select portfolio pattern that has minimum changes from the previous portfolio pattern. We proposed the model that enables us to select portfolio with minimum changes.
5)In the Boltzmann Machine Model of portfolio selection, the adjustment of the weight between expected return and risk can be changeable according preference of strategy with high risk and high expected return to strategy with low risk and low expected return.
6)Furthermore, we modeled the hierarchical Boltzmann Machine that enables us to select the limited number of stocks. This model will be presented at the international conference of fuzzy system in August 1999.
7)We also obtained the following results by developing the above-mentioned research. We have also bui It the approach of the Boltzmann Machine's to solving effectively and efficiently a portfolio select ion problem.
8)As these applications, we have modeled a hierarchical investment strategy by a Boltzmann Machine to invest.money in the international stock market.

Report

(4 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • 1996 Annual Research Report
  • Research Products

    (27 results)

All Other

All Publications (27 results)

  • [Publications] 水沼・松田・和多田: "ファジィ平均・分散分析による経営意志決定" 日本ファジィ学会誌. 8, 5. 854-860 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 藪内・和多田: "超楕円関数に基づくファジイロバスト回帰分析" Journal of the Operations Research Society of Japan. 39, 4. 512-524 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 有澤・和多田: "経営分析へのニューラルネットワークの適用" 日本経営工学会論文誌. 47, 5. 308-316 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 藪内・和多田・森本: "可能性生産関数に基づく産業分析" 日本ファジィ学会誌. 9, 5. 755-761 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 有澤・和多田: "ファジィ推論を用いたニューラルネットワークの構造学習アルゴリズム" 計測自動制御学会論文集. 33, 11. 1087-1092 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 和多田・水沼・松田: "遺伝的アルゴリズムを用いた投資、銘柄数限定型ファジィ・ボートフォリオ・セレクション" 日本経営工学会論文誌. 49, 2. 91-99 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Watada, et.al.: "Fuzzy Structures" Tatra Mountains Mathematical Publications (in Chech), 250 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] J.Watada: ""Fuzzy Portfolio Selection and Its Applications to Decision Making"" eds.by Radko Mesiar and Beloslav Riecan, Fuzzy Structures, Tatra Moun-tains Mathematical Publi-cations. 219-248 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroto Mizunuma, Hiroshi Matsuda and Junzo Watada: ""Management Decision-Making based on Fuzzy Mean-Variance Analysis" (in Japanese)" Official Journal of Japan Society of Fuzzy Theory and Systems. Vol.8, No.5. 854-860 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yoshiyuki Yabuuchi and Junzo Watada: ""Fuzzy Robust Regression Analysis based on Hyper-ellipse function" (in Japanese)" Journal of the Operations Research Society of Japan. Vol.39, No.4. 512-524 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Masaki Arisawa and Junzo Watada: ""Application of a Neural Network to Management Anarisys" (in Japanese)" Official Journal of Japan Industrial Management Asso-ciation. Vol.47, No.5. 308-316 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yoshiyuki Yabuuchi, Junzo Watada and Masaaki Morimoto: ""Analysis of Industries based on a Possibilistic Production Function" (in Japanese)" Official Journal of Japan Sociatey of Fuzzy Theory and Systems. Vol.9, No.5. 755-761 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Masaki Arisawa and Junzo Watada: ""Structural Learning Algorithm of a Neural Network using Fuzzy Reasoning" (in Japanese)" Trans.of Instrument and Automation Association. Vol.33, No.11. 1087-1092 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Junzo Watada, Hiroto Mizunuma and Hiroshi Matsuda: ""Fuzzy Portfolio Selection for a limited number of Securities based on Genetic Algorithms" (in Japanese)" Official Journal of Japan Industrial Management Association. Vol.49, No.2. 91-99 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Junzo Watada and Hiroto Mizunuma: ""Fuzzy Mean-Variance Analysis with Interval Constraints"" The 7th International Fuzzy Systems Association World Congress (IFSA97), in Prague, Czech Republic. 105-112 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Watanabe, Kenji Oda, Junzo Watada: ""Strategic Decision of Investment by a Boltzmann Machine"" Vietnam-Japan Bilateral Symposium on Fuzzy Systems and Applications, Halong Bay, 30^<th>Sept.-2^<nd>Oct.201-208 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 和多田洋人,水沼洋人,松田浩: "遺伝的アルゴリズムを用いた投資銘柄数限定型ファジィ・ポートフォリオ・セレクション" 日本経営工学会論文誌. 49・2. 91-99 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] J.Watada: "Fuzzy Portfolio Selection And Its Applications to Decision Making" Tara Mountaine Math.Publ. 13. 219-248 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] J.Watada & H.Mizumura: "Fuzzy Mean-Variance Analysis with Interval Constrainsts" Proc.of IFSA'97,Prague,June 25-29,1997. Vol.2. 105-112 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Yabuuchi & J.Watada: "Fuzzy Principal Component Analysis for Fuzzy Data" Proc.of FUZZ-IEEE 1997,Barcolona July 1-5,1997. 1. 1127-1132 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 和多田・小田・渡辺: "ボルツマンマレーによるポートフォリオ選択問題の解法" 日本ファジィ学会第8回ノンエンジニアリング・ワークショップ 1998年3月14日-15日. (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 渡辺輝幸, 和多田淳三: "前期投資パターンを考慮したポートフォリオ選択問題" 日本ファジィ学会第8回ノンエンジニアリング・ワークショップ 1998年3月14日-15日. (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 水沼,松田,和多田: "ファジィ平均分散分析による経営意思決定" 日本ファジィ学会誌. Vol,8,No.5. 854-860 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 松田,和多田,水沼: "ファジィ平均分散分析法による人員配置の決定" 日本ファジィ学会第12回ファジイシステムシンポジウム予稿集. (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 藪内,山内,和多田: "ファジィスイッチングリグレッションモデル" 日本ファジィスィッチングリグレッションモデルの構築. (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 藪内,和多田: "可能性回帰モデルの構築" 第24回日本行動計量学会. (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Y.Yabuuchi,J.Watada: "Possibility Robust Regression Anclysis" 20th Int.Conf.on Computer & Industricl Eng.(1996)

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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