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Study on Construction of Optimal Decision-making Processes under Fuzzy Environment and/or under Uncertainty and its Applications

Research Project

Project/Area Number 09480080
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field 社会システム工学
Research InstitutionKYUSHU UNIVERSITY

Principal Investigator

IWAMOTO Seiichi  Kyushu University, Faculty of Economics, Professor, 経済学部, 教授 (90037284)

Co-Investigator(Kenkyū-buntansha) FURUKAWA Tetsuya  Kyushu University, Faculty of Economics, Associate Professor, 経済学部, 助教授 (00209165)
NAKAI Toru  Kyushu University, Faculty of Economics, Professor, 経済学部, 教授 (20145808)
TOKINAGA Shozo  Kyushu University, Faculty of Economics, Professor, 経済学部, 教授 (30124134)
KAWASAKI Hidefumi  Kyushu University, Mathematics, Associate Professor, 数理学研究科, 助教授 (90161306)
YASUDA Masami  Chiba University, Math. & Info., Professor, 理学部, 教授 (00041244)
Project Period (FY) 1997 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥9,100,000 (Direct Cost: ¥9,100,000)
Fiscal Year 1999: ¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 1998: ¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 1997: ¥3,500,000 (Direct Cost: ¥3,500,000)
Keywordsfuzzy environment / uncertainty / invariant imbedding / nonadditive reward / decision tree-tavble / history method / parametric method / dynamic programming / 最適停止 / ポートフオリオ
Research Abstract

In this study, we have analyzed optimal structure of multi-stage decision-making processes in fuzzy environment through mathematical approaches and have applied it to economic and engineering fields. We have proposed a few applicable methods both in operations research and in mathematical finance. As methodology, we give a theoretical basis of dynamic optimization, where dynamic programming takes a central part. Specifically, three methods - (1) total history methods, (2) reward-parametric method, (3) multi-stage stochastic/fuzzy decision-table method - gives a common optimal solution. As the same time, these methods cultivates a new large fields of unsolved problems.
1. In academic year 1997, we gave as optimal structure of multi-stage decision-making processes in fuzzy environment through invariant imbedding. Deriving optimal solution to the a posteriori conditional process, the a priori and the original (unconditional) process, we have clarified differences among the three processes.
2. In 1998, we analyzed the multi-stage decision-making processes under uncertainty. From the viewpoint of policy-space, we clarified the difference between additive reward system and nonadditive one. We proposed both simple reward system and compound one.
3. In the last year, we were mainly concerned with applications of the related approaches to both economic and engineering fields. We illustrated some graphical presentations and visual shows of optimal solutions.

Report

(4 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • 1997 Annual Research Report
  • Research Products

    (90 results)

All Other

All Publications (90 results)

  • [Publications] Seiichi Iwamoto: "Optimal policies for optimization of associative functionals"京大数理研講究録「経済の数理解析」. 987. 143-163 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 岩本 誠一: "講義「経済数学」:微分積分学 対 再帰的方法-問題と解答-"経済学研究(九大経済学会). 別冊. 59-74 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 岩本 誠一: "航空機材割り当て逆問題について"経済学研究(九大経済学会). 64・1/2. 1-14 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 岩本 誠一: "ファジィ環境下における条件付き意思決定について"京大数理研講究録「離散数理と連続数理における最適化理論」. 1015. 150-162 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 岩本 誠一: "An Inverse Assignment Problem(ある逆割り当て問題について)"京大数理研講究録「離散数理と連続数理における最適化理論」. 1015. 163-175 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 岩本 誠一: "逆問題:出力最大化対入力最小化"九州大学研究紹介. 15. 23-24 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 岩本 誠一: "最適分割の三体問題について"経済学研究(九大経済学会). 64・5/6. 165-176 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 岩本 誠一: "双対ファジィ動的計画について"京大数理研講究録「不確実な環境モデルでの動的行動決定システム」. 1048. 72-85 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 岩本 誠一: "分数型評価のマルコフ決定過程"京大数理研講究録「数理モデルにおける決定理論」. 1079. 153-163 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Seiichi Iwamoto: "A priori and a posteriori conditional decision processes with nonadditively recursive utility"京大数理研講究録「経済の数理解析」. 1108. 29-43 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 岩本 誠一: "再帰的方法による複合評価系の最適化"経済学研究(九大経済学会). 66・1. 51-66 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 時永 祥三: "複雑系の工学的基礎とその課題"オフィス・オートメーション. 19・2. 30-37 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 時永 祥三: "フラクタル時系列の予測手法を用いた株価予測とその応用"J.Operations Res.Soc.Japan. 42・1. 18-31 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 中井 達: "不完備情報マルコフ過程におけるベイズ学習について"経済学研究(九大経済学会). 66・1. 67-85 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 安田 正実: "ファジィ・システムにおける意思決定の展開"日本ファジィ学会誌A. 10・6. 1053-1062 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 川崎 英文: "極値問題の大域的性質:共役点,A global property of extremal problems:conjugate points"第11回RAMPシンポジュウム論文集(日本OR学会数理計画法研究会). 11. 85-96 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Seiichi Iwamoto: "Decision-making in Fuzzy Environment: A Survey from Stochastic Decision Process"Proceedings of The Second International Conference on Knowledge-based Intelligent Electronics System (KES' 98). 542-546 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Seiichi Iwamoto: "Sequential decision making in fuzzy environment"J. Math. Anal. Appl.. 222・1. 208-224 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Seiichi Iwamoto: "On expected values of Markov statistics"Bull. Informatics and Cybernetics. 30・1. 1-24 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Seiichi Iwamoto: "Conditional decision processes with recursive reward function"J. Math. Anal. Appl.. 230・1. 193-210 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Seiichi Iwamoto: "Conditional decision-making in a fuzzy environment"J. Operations Res. Soc. Japan. 42・1. 198-218 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Seiichi Iwamoto: "Euler Partition Rule"Proceedings of International Conference on "Nonlinear Analysis and Convex Analysis" (NACA98). 173-180 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Shozo Tokinaga: "On the multi-stage fuzzy inference system based upon the optimization of rules by using the GA"Proceedings of 1998 International Symposium on Nonlinear Theory and Applications (NOLTA '98). 373-376 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Shozo Tokinaga: "Predication of self-similar traffic by using the time scale expansion of fractal time series and its application"Proceedings of 11th ITC Specialist Seminar (Yokohama' 98). 205-214 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Shozo Tokinaga: "A forcasting method for time series with fractal geometry and its application"Electrics and Communications in Japan, Part3. 82・3. 1793-1800 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Shozo Tokinaga: "Optimization of fuzzy inference rules by using the genetic algorithm and its application to the bond rating"J. Operations Res. Soc. Japan. 42・3. 302-315 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Shozo Tokinaga: "Optimization of dynamic routing of self-similar traffic based upon the prediction of fractal time series and the GA"Proceedings of 1999 International Symposium on Nonlinear Theory and Applications (NOLTA'99). 243-246 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Shozo Tokinaga: "Identification of chaotic dynamics by using the genetic programming and its applications"Proceedings of 1999 International Symposium on Nonlinear Theory and Applications (NOLTA'99). 535-538 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Shozo Tokinaga: "The design of multi-stage fuzzy inference systems with smaller number of rules based upon the optimization of rules by using the GA"IEICE Trans. Fundamentals. E82-A・9. 1865-1873 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masami Yasuda: "Fuzzy stopping of a dynamic fuzzy system"Proceedings of The Second International Conference on Knowledge-based Intelligent Electronics Systems (KES' 98). 547-552 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masami Yasuda: "A monotone fuzzy stopping time in dynamic fuzzy systems"Bull. Informatics Cybernetics. 31・1. 91-99 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto: "Optimal policies for optimization of associative functions"RIMS Kokyuroku. 987. 143-163 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto: "Calculus versus Recursive Method -Problems and Answers-"J. Political Economy. 59-74 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto: "On an inverse allocation problems of aircrafts"J. Political Economy. 1-14. 64-1/2 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto, T. Fujita and K. Tsurusaki: "On conditional processes with decision in fuzzy environment"RIMS Kokyuroku. 1015. 150-162 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto and T. Iki: "An Inverse Assignment Problems"RIMS Kokyuroku. 1015. 163-175 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto: "Inverse problems : output-maximization versus input-minimization"Kyudai Res. Survey. 15. 23-24 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto: "Decision-making in Fuzzy Environment : A Survey from Stochastic Decision Process"KES '98. 2. 542-546 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto: "On three-body optimal decision problem"J. Political Economy. 165-176. 64-5/6 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto: "On Duality in fuzzy dynamic programs"RIMS Kokyuroku. 1048. 72-85 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto and M. Sniedovich: "Sequential decision making in fuzzy environment"J. Math. Anal. Appl.. 222-1. 208-224 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto: "On expected values of Markov statistics"Bull. Info. Cyber.. 30-1. 1-24 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto: "Conditional decision processes with recursive reward function"J. Math. Anal. Appl.. 230-1. 193-210 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Fujita and S. Iwamoto: "Fractional Markov decision processes"RIMS Kokyuroku. 1079. 153-163 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto: "A priori and a posteriori conditional decision processes with nonadditively recursive utility"RIMS Kokyuroku. 1108. 29-43 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto, K. Tsurusaki and T. Fujita: "Conditional decision-making a fuzzy environment"J. Ope. Res. Soc. Jap.. 42-2. 198-218 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto: "Euler Partition Rule"NACA98. 1. 173-180 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Iwamoto: "Recursive optimization of composite criteria"J. Political Economy. 51-66. 66-1 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Tan and S. Tokinaga: "A basic engineering of complexity and its related subjects"Office Automation. 30-37. 19-2 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Tokinaga and K. Tan: "On the multi-stage fuzzy inference system based upon the optimization of rules by using the GA"NOLTA '98. 373-376 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Tokinaga and W. Takebayashi: "Prediction of self-similar traffic by using the time scale expansion of fractal time series and its application"ITC Special Semi.. 11. 205-214 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Tokinaga, H. Moriyasu, A. Miyazaki and N. Shimazu: "A forecasting method for time series with fractal geometry and its application"Elec. Comm. Jap.. 82-3. 1793-1800 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Ikeda and S. Tokinaga: "A predictive method of fractal time series and its applications"J. Ope. Res. Soc. Jap.. 42-1. 18-31 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Tan and S. Tokinaga: "Optimization of Fuzzy Inference Rules by using Genetic Algorithm and its Application to the Bond Rating"J. Ope. Res. Soc. Jap.. 42-3. 302-315 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. TokinagaィイD1*ィエD1 and W. Takebayashi: "Optimization of Dynamic Routing of Self-similar Traffic based upon the Prediction of Fractal Time Series and the GA"NOLTA '99. 243-246 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Ikeda and S. TokinagaィイD1*ィエD1: "Identification of Chaotic Dynamics by using the Genetic Programming and its Applications"NOLTA '99. 535-538 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Tan and S. Tokinaga: "The Design of Multi-Stage Fuzzy Inference Systems with Smaller Number of Rule Based upon the Optimization of Rules by Using the GA"IEICE Trans. Fund.. 1865-1873. E82-A-9 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Nakai: "On Bayesian learning of incomplete-information Markov processes"J. Political Economy. 67-85. 66-1 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Yasuda: "Fuzzy stopping of a dynamic fuzzy system"KES '98. 2. 547-552 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Yuji and M. Yasuda: "Decision-making on fuzzy system and its overview"J. Soft. Comp. Soc. Jap.. 10-6. 1053-1062 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Yuji, M. Yasuda, J. Nakagami and M. Kurano: "A monotone fuzzy stopping time in dynamic systems"Bull. Info. Cyber.. 31-1. 91-99 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Kawasaki: "A global property of extremal problems : conjugate points"RAMP Sympo.. 11. 85-96 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Seiichi Iwamoto: "Conditional decision processes with recursive reward function"J. Math. Anal. Appl.. 230・1. 193-210 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 岩本 誠一: "分数型評価マルコフ決定過程"京大数理研講究録「数理モデルにおける決定理論」. 1079. 153-163 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Seiichi Iwamoto: "A priori and a posteriori conditional decision processes with nonadditively recursive utility"京大数理研講究録 「経済の数理解析」. 1108. 29-43 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Seiichi Iwamoto: "Conditional decision-making in a fuzzy environment"J. Operations Res. Soc. Japan. 42・2. 198-218 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Seiichi Iwamoto: "Euler Partition Rule"Proccedings of International Conferece on "Nonlinear Analysis and Convex Analysis"(NACA98). 173-180 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 岩本 誠一: "再帰的方法による複合評価系の最適化"経済学研究 (九大経済学会). 66・1. 51-66 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Shozo Tokinaga: "A forcasting method for time series with fractal geometry and its applicaton"Electrics and Communications in Japan, Part3. 82・3. 1793-1800 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 時永 祥三: "フラクタル時系列の予測手法を用いた株価予測とその応用"J. Operations Res. Soc. Japan. 42・1. 18-31 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Shozo Tokinaga: "Optimization of fuzzy inference rules by using the genetic algorithm and its application to the bond rating"J. Operations Res. Soc. Japan. 42・3. 302-315 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Shozo Tokinaga: "Optimization of dynamic routing of self-similar traffic based upon the prediction of fractal time series and the GA"Proceedings of 1999 International Symposium on Nonlinera Theory and Applications(NOLTA'99). 243-246 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Shozo Tokinaga: "Indetification of chaotic dynamics by using the genetic programming and its applications"Proceedings of 1999 International Symposium on Nonlinera Theory and Applications(NOLTA'99). 535-538 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Shozo Tokinaga: "The design of multi-stage fuzzy inference systems with smaller number of rules based upon the potimization of rules by using the GA"IEICE Tans. Fundamentals. E82-A・9. 1865-1873 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 中井 達: "不完備情報マルコフ過程におけるベイズ学習について"経済学研究 (九大経済学会). 66・1. 67-85 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Masami Yasuda: "A monotone fuzzy stopping time in dynamic fuzzy systems"Bull. Informatics and Cybernetics. 31・1. 91-99 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 川崎 英文: "極値問題の大域的性質:共役点、A global property of extremal problems: conjugate points"第11回RAMPシンポジュウム論文集(日本OR学会数理計画法研究会). 11. 85-96 (1999)

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  • [Publications] Seiishi Iwamoto: "Decision-making fuzzy environment A survey from stochastic process" Proc.Int'1 Conf KES (Knowledge Electronics Systems). 2. 542-546 (1998)

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  • [Publications] Seiishi Iwamoto: "Sequential decision making in fazzy environment" Journal of Mathematical Analysia and Application. 222・1. 208-224 (1998)

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  • [Publications] Seiishi Iwamoto: "On expected values of Markuv statisitics" Bulletion of Informatics and Cybernetics. 30・1. 1-24 (1998)

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  • [Publications] Shozo Tokinaga: "On the multi-stage fuzzy inference system based upon optimization" Proc Int Sympo Nonlinear Theory and Application. 2. 373-376 (1998)

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  • [Publications] Masami Yasuda: "fuzzy stopping of a dynamic fuzzy system" Proc.Int'1 Conf KES (Knowledge Electronics Systems). 2. 547-552 (1998)

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  • [Publications] Hidefumi Kawasaki: "Legendry‐type optimality condition for variational problem wihe inequality" Mathematical Programming. (掲載予定). (1999)

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  • [Publications] 岩本誠一: "Optimal policies for optimization of associative functionals" 京都大学数理解析研究所講究録「経済の数理解析」. 987. 143-163 (1997)

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  • [Publications] 岩本誠一: "航空機材割り当て逆問題について" 経済学研究(九州大学経済学会). 64;1/2. 1-14 (1997)

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  • [Publications] 岩本誠一: "ファジィ環境下における条件付き意思決定過程" 数理研講究録「離散数理と連続数理における最適化理論」. 1015. 150-162 (1997)

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  • [Publications] 時永祥三: "Forcasting of Time Series with Fractal Geometry by Wavlet Transform" Electronics and Communications in Japan. 83;8. 20-30 (1997)

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  • [Publications] 安田正実: "On a property of fuzzy stopping times" 数理研講究録「離散数理と連続数理における最適化理論」. 1015. 176-182 (1997)

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  • [Publications] 川崎英文: "One-sided phase constraint forms an envelope" 京大数理研講究録「連続と離散の最適化数理」. 981. 193-198 (1997)

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  • [Publications] 時永祥三: "SASによる経済分析入門(改訂版)" 九州大学出版会, 94 (1997)

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Published: 1997-04-01   Modified: 2016-04-21  

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