CFP last date
20 January 2025
Call for Paper
February Edition
IJCA solicits high quality original research papers for the upcoming February edition of the journal. The last date of research paper submission is 20 January 2025

Submit your paper
Know more
The week's pick
Responsive image
HYBRID ANN AND FIREWORKS ALGORITHM FOR REAL-TIME SOFTWARE RELIABILITY PREDICTION

Ivy Botchway Felix Larbi Aryeh Boniface Kayode Alese
Random Articles
Reseach Article

Bi-level Multi-objective Programming Problem with Fuzzy Parameters

by Surapati Pramanik, Partha Pratim Dey
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 30 - Number 10
Year of Publication: 2011
Authors: Surapati Pramanik, Partha Pratim Dey
10.5120/3677-5178

Surapati Pramanik, Partha Pratim Dey . Bi-level Multi-objective Programming Problem with Fuzzy Parameters. International Journal of Computer Applications. 30, 10 ( September 2011), 13-20. DOI=10.5120/3677-5178

@article{ 10.5120/3677-5178,
author = { Surapati Pramanik, Partha Pratim Dey },
title = { Bi-level Multi-objective Programming Problem with Fuzzy Parameters },
journal = { International Journal of Computer Applications },
issue_date = { September 2011 },
volume = { 30 },
number = { 10 },
month = { September },
year = { 2011 },
issn = { 0975-8887 },
pages = { 13-20 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume30/number10/3677-5178/ },
doi = { 10.5120/3677-5178 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:16:43.065528+05:30
%A Surapati Pramanik
%A Partha Pratim Dey
%T Bi-level Multi-objective Programming Problem with Fuzzy Parameters
%J International Journal of Computer Applications
%@ 0975-8887
%V 30
%N 10
%P 13-20
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper deals with fuzzy goal programming approach to bi-level multi-objective programming problem with fuzzy parameters. In the proposed approach, the tolerance membership functions for the fuzzily described objective functions are defined by determining individual optimal solution of the objective functions of each of the decision makers. Since the objectives are potentially conflicting in general, possible relaxations of both level decisions are considered by providing preference bounds on the decision variables for avoiding decision deadlock. Then fuzzy goal programming technique is used for achieving highest degree of each of the membership goals by minimizing negative deviational variables. An algorithm is presented with termination criteria. An illustrative numerical example is provided to demonstrate the efficiency of the proposed approach.

References
  1. Candler, W., and Townsley, R. 1982. A linear bilevel programming problem. Computers & Operations Research 9, 59 - 76.
  2. Fortuny-Amat, J., and McCarl, B. 1981. A representation and economic interpretation of a two-level programming problem. Journal of the Operational Research Society 32, 783 - 792.
  3. Lai, Y. J. 1996. Hierarchical Optimization: A satisfactory solution. Fuzzy Sets and Systems 77, 321 – 335.
  4. Shih, H. S., Lai, Y. J., and Lee, E. S. 1996. Fuzzy approach for multi-level programming problems. Computers & Operations Research 23, 73 – 91.
  5. Shih, H. S., and Lee, E. S. 2000. Compensatory fuzzy multiple level decision making. Fuzzy Sets and Systems 14, 71 – 87.
  6. Sinha, S. 2003. Fuzzy programming approach to multi-level programming problems. Fuzzy Sets and Systems 136, 189 – 202.
  7. Pramanik, S., and Roy, T. K. 2007. Fuzzy goal programming approach to multilevel programming problems. European Journal of Operational Research 176 (2), 1151 - 1166.
  8. Sakawa, M., Nishizaki, I., and Uemura, Y. 2000. Interactive fuzzy programming for multi-level linear programming problems with fuzzy parameters. Fuzzy Sets and Systems 109 (1), 03 – 19.
  9. Shi, X., and Xia, H. 1997. Interactive multi-objective decision making. Journal of Operational Research Society 48, 943 - 949.
  10. Abo-Sinha, M. A. 2001. A bilevel non-linear multiobjective decision making under fuzziness. Operation Research Society of India (OPSEARCH) 38 (5), 484 - 495.
  11. Abo-Sinha, M. A., and Baky, I. A. 2006. Interactive balance space approach for solving bilevel multiobjective programming problems. Advances in modeling and Analysis B 49 (3-4), 43 - 62.
  12. Baky, I. A. 2009. Fuzzy goal programming algorithm for solving decentralized bi-level multi-objective programming problems. Fuzzy Sets Systems 160, 2701 - 2713.
  13. Zhang, G., Lu, J., and Dillon, T. 2007. Decentralized multi-objective bilevel decision making with fuzzy demand. Knowled – Based System 20 (5), 495 - 507.
  14. Gao, Y., Zhang, G., Ma, J., Lu, J. 2010. A - cut and goal programming – based algorithm for fuzzy – linear multi-objective bilevel optimization. IEEE transactions on fuzzy system 18 (1), 01 - 13.
  15. Pramanik, S., and Roy, T. K. 2006. A fuzzy goal programming technique for solving multi-objective transportation problem. Tamsui Oxford Journal of Management Sciences 22 (1), 67 - 89.
  16. Pramanik, S., and Roy, T. K. 2008. Multiobjective transportation model based on priority based fuzzy goal programming. Journal of Transportation Systems Engineering and Information Technology 7 (3), 40 - 48.
  17. S. Pramanik, “Bilevel programming problem with fuzzy parameters: a fuzzy goal programming approach”, Journal of Applied Quantitative Methods, 2011, in press.
  18. Pramanik, S., and Dey, P. P. 2011. Bi-level linear fractional programming problem based on fuzzy goal programming approach. International Journal of Computer Applications 25 (11), 34-40.
  19. Lee, E. S., and Li, R. J. 1993. Fuzzy multiple objective programming with pareto optimum. Fuzzy Sets and Systems 53, 275 – 288.
  20. Zeleny, M. 1982 Multiple criteria decision making. McGraw-Hill, New York.
Index Terms

Computer Science
Information Sciences

Keywords

Bi-level programming Deviational variables Fuzzy goal programming Fuzzy parameters Tolerance membership functions

Powered by PhDFocusTM