An Interactive Fuzzy Approach for Multiobjective Nonlinear Programming Problems with Fuzzy Parameters

퍼지 모수를 가지는 다목적 비선형 계획 문제의 대화형 퍼지 접근

  • 이상완 (동아대학교 산업공학과) ;
  • 남현우 (경동전문대학 산업안전관리과) ;
  • 윤연근 (동아대학교 산업공학과)
  • Published : 1997.06.01

Abstract

In general, two types fuzziness of human judgements should be incorporated in multiobjective programming problems. One is the expert's ambigjous understanding of the nature of the parameters in the problem formulation process and the other is the fuzzy goals of the decision maker for each of the objective functions. In this paper, we present a new interactive fuzzy approach for obtaining the satisficing solution which efficiently reflect both types of fuzziness. An illustrative numerical example nonlinear programming problems with fuzzy parameters is demonstrated along with the corresponding computer outputs.

Keywords

References

  1. Multiobjective Decision Analysis with Engineering and Business Applications Ambrose Goicoechea;Don R. Hans;Lucien Duckstein
  2. Management Science v.16 Decision-Making in a Fuzzy Environment Bellman, R. E.;L. A. Zadeh
  3. Multiobjective Decision Making Chankong, V.;Y. Haimes Vacov
  4. Solving Multiobjective Linear Programming Problems - A Genetic Approcah v.82 Chen, H. K.;Chou, H. W.
  5. Fuzzy Sets and System Theory and Appication Dubios, D.;Prade, H.
  6. Fuzzy Sets and their Applications to Cognitive and Decision process An Axiomatic Approach to Rational Decision Making in the Fuzzy Environment Fung, L. W.;K. S. Fu
  7. Decision Science v.12 On Fuzzy Goal Programming Hannan, E. L.
  8. Optimization Techniques with Fortran James, L.;H. M. Joe
  9. Theory of Fuzzy Subsets Kaufmann, A.;L. A. Zadeh
  10. Fuzzy Sets and Systems v.8 Compensatory Operators in Fuzzy Linear Programming with Multiple Objectives Luhandjula, M. K.
  11. Fuzzy Sets and Systems v.21 Multiple Objective Programming Probelms with Possibilistic Coefficients Luhandjula, M. K.
  12. Journal of th Operational Research Society v.32 Interactive Sequential Goal Programming Masud, S.;C. L. Hwang
  13. Computer and Industrial Engineering v.25 An Extension of Interactive Method for Solving Multiple Objective Linear Programming with Fuzzy Parameters Mitsuo, G.;S. Masato
  14. Decision Science v.32 Goal Programming in a Fuzzy Environment Narasimhan, R.
  15. Management Science v.24 A Proxy Approach to Multi-Attribute Decision Making Oppenheimer, K. R.
  16. Fuzzy Sets and Systems v.25 A Method for Finding Numerical Compensation for Fuzzy Multicriteria Decision Problem Rao T. R.;R. N. Tiwari;B. K. Mohanty
  17. International Journal of Man-Machine Studies v.14 An Interactive Computer Program for Multiobjective Decision Making by the Sequential Proxy Optimization Technique Sakawa, M.
  18. Times/Studies in the Management Science v.20 Interactive Multiobjective Decision-Making by the Fuzzy Sequential Proxy Optimization Technique-FSPOT Sakawa, M.
  19. Fuzzy Sets and Systems v.28 An Interactive Fuzzy Satisficing Method for multiobjective Linear Fractional Programming Problems Sakawa, M.;H. Yano
  20. Fuzzy Sets and Systems v.35 An Interactive Fuzzy Satisficing Method for Generalized Multiobjective Linear Programming Problems with Fuzzy Parameters Sakawa, M.;H. Yano
  21. Fuzzy Sets and Systems v.20 Interactive Fuzzy Decision Making for Multiobjective Nonlinear Programming using Augmented Minimax Problems Sakawa, M.;H. Yano
  22. International Journal of Man-Machine Studies v.18 Ingeractive Computer Progarms for Fuzzy Linear Programming with Multiple Objectives Sakawa, M.
  23. International Journal of Man-Machine Studies v.23 Interactive Fuzzy Decision Making for Multiobjective Nonlinear Programming using Reference Membership Intervals Sakawa, M.;H. Yano
  24. Fuzzy Sets and Systems v.29 Interactive Fuzzy Decision Making for Multiobjective Nonlinear Programming Problems with Fuzzy Parameters Sakawa, M.;H. Yano
  25. Fuzzy Sets and Systems v.19 A Multicriteria Fuzzy Linear Programming Method for Water Supply Systems Development Planing Slowinski, R.
  26. Fuzzy Sets and Systems v.13 Fuzzy Linear Programming with Fuzzy Numbers Tanaka, M.;K. Asai
  27. Fuzzy Sets and Systems v.32 Interactive Fuzzy Decision Making for Generalized Multiobjetive Linear Factional Programming Problems with Fuzzy Parameters Yano, H.;M. Sakawa
  28. Fuzzy Sets and Systems v.1 Fuzzy Programming and Linear Programming with Several Obiective Functions Zimmermann, H. J.
  29. Fuzzy Sets Theory and Applications Fuzzy Sets Theory and Mathematical Programming Zimmermann, H. J.
  30. Fuzzy Sets and Systems v.4 Latent Connective in Human Decision Making Zimmermann, H. J.;P. Zysno
  31. Fuzzy Sets and Systems v.2 On the Suitability of Minimum and Product Operators for the Intersection of Fuzzy Sets Zimmermann, H. J.;P. Zysno