Skip to main content
Have a personal or library account? Click to login
Bi-Objective Bilevel Programming Problem: A Fuzzy Approach Cover

Bi-Objective Bilevel Programming Problem: A Fuzzy Approach

Journal of Applied Mathematics, Statistics and Informatics
Volume 11 (2015): Issue 2 (December 2015)
By:  and    
Open Access
|Dec 2015
References

References

  1. T. Allahviranloo, F. H. Lofti, M. K. Kiasary, N.A. Kiani, and L. Alizadeh. Solving fully fuzzy linear programming problem by the ranking function., 2(1):19–32, 2008.
    Open DOISearch in Google Scholar
  2. G. Anandalingam. A mathematical programming model of decentralized multi-level systems., 39:1021âĂŞ1033, 1988.
    Open DOISearch in Google Scholar
  3. J.F. Bard. A grid search algorithm for the linear bilevel programming problem., CA.2:256–258, 1982.
    Search in Google Scholar
  4. W. Bialas, M.H. Karwan, and J Shaw. A parametric complementary pivot approach for two-level linear programming., 80-2, 1980.
    Search in Google Scholar
  5. M. P. Biswal and S. Acharya. Transformation of a multi-choice linear programming problem., 210:182–188, 2009.
    Open DOISearch in Google Scholar
  6. M. P. Biswal and S. Acharya. Solving multi-choice linear programming problems by interpolating polynomials., 54:1405–1412, 2011.
    Open DOISearch in Google Scholar
  7. C. T. Chang. Multi-choice goal programming., 35(4):389–396, 2007.
    Open DOISearch in Google Scholar
  8. O.E. Emam. A fuzzy approach for bi-level integer non-linear programming problem., 172:62âĂŞ71, 2006.
    Open DOISearch in Google Scholar
  9. R. Ezzati, E. Khorram, and R. Enayati. A algorithm to solve fully fuzzy linear programming problems using the molp problem., In Press, 2013.
    Search in Google Scholar
  10. K. Ganesan and P. Veeramani. Fuzzy linear programs with trapezoidal fuzzy numbers., 143:305–315, 2006.
    Open DOISearch in Google Scholar
  11. W. C. Healy. Multiple choice programming. operations research., 12:122–138, 1964.
    Open DOISearch in Google Scholar
  12. F. Hiller and G. Lieberman.. McGraw-Hill, New York, 1990.
    Search in Google Scholar
  13. Masahiro Inuiguchi and Jaroslav Ramık. Possibilistic linear programming: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem., 111(1):3–28, 2000.
    Search in Google Scholar
  14. B. Liu. Stackelberg-nash equilibrium for multi-level programming with multi-follows using genetic algorithms., 37,7:79–89, 1998.
    Open DOISearch in Google Scholar
  15. J. Lu, C. Shi, and G. Zhang. An extended kth-best approach for linear bilevel programming., 164:843–855, 2005.
    Open DOISearch in Google Scholar
  16. MK Luhandjula. Multiple objective programming problems with possibilistic coefficients., 21(2):135–145, 1987.
    Open DOISearch in Google Scholar
  17. R. Mathieu, L. Pittard, and G. Anandalingam. Genetic algorithm based approach to bilevel linear ptogramming., 28:1–21, 1994.
    Open DOISearch in Google Scholar
  18. Heinrich Rommelfanger. Fuzzy linear programming and applications., 92(3):512–527, 1996.
    Open DOISearch in Google Scholar
  19. Heinrich Rommelfanger. The advantages of fuzzy optimization models in practical use., 3(4):295–309, 2004.
    Open DOISearch in Google Scholar
  20. M Sakawa. Interactive fuzzy goal programming for multiobjective nonlinear problems and its application to water quality management., 13(2):217–228, 1984.
    Search in Google Scholar
  21. M. Sakawa. Fuzzy sets and interactive multi-objective optimization., 1993a.
    Open DOISearch in Google Scholar
  22. Masatoshi Sakawa.. Plenum New York, 1993b.
    Open DOISearch in Google Scholar
  23. Fumiko Seo and Masatoshi Sakawa.. Reidel Dordrecht, The Netherlands, 1988.
    Search in Google Scholar
  24. C. Shi, J. Lu, and G. Zhang. An extended kuhn-tucker approach for linear bilevel programming., 162:51–63, 2005.
    Open DOISearch in Google Scholar
  25. Roman Slowinski and Jacques Teghem.. Kluwer Academic Publishers, 1990.
    Open DOISearch in Google Scholar
  26. Behzad Bankian Tabrizi, Kamran Shahanaghi, and M. Saeed Jabalameli. Fuzzy multi-choice goal programming., 36:1415–1420, 2012.
    Open DOISearch in Google Scholar
  27. Jea Teghem Jr, D Dufrane, M Thauvoye, and P Kunsch. Strange: an interactive method for multi-objective linear programming under uncertainty., 26(1):65–82, 1986.
    Search in Google Scholar
  28. W.F. Bialas U.P. Wen. The hybrid algorithm for solving the three-level linear programming problem., 13:367âĂŞ377, 1986.
    Open DOISearch in Google Scholar
  29. H-J Zimmermann. Fuzzy programming and linear programming with several objective functions., 1(1):45–55, 1978.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.1515/jamsi-2015-0015 | Journal eISSN: 1339-0015 (formerly 1336-9180) | Journal ISSN: 1336-9180
Journal RSS Feed
Language: English
Page range: 97 - 115
Published on: Dec 30, 2015
Published by: University of Ss. Cyril and Methodius in Trnava
In partnership with: Paradigm Publishing Services
Keywords:
Bi-Objective Bilevel Programming Problem,
Multichoice Goal Programming,
Trapezoidal Fuzzy Numbers,
Ranking Function,
Fuzzy Decision Model
Related subjects:
Mathematics,
Applied mathematics

© 2015 S. Haseen, A. Bari, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 11 (2015): Issue 2 (December 2015)
Previous article