A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations

Hsin Hung Chen, Liang-Hsuan Chen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

This paper studies the decentralized bi-level multiobjective programming (DBLMOP) problem with one decision-maker (DM) at the higher level and more than one DM at the lower level. The number of objective functions to be optimized by each DM may be different. The fuzzy relation technique is first incorporated into fuzzy goal programming (FGP) to solve the hierarchical optimization problem. After characterizing the fuzzy goals of the objective functions and the higher-level DM's decision vector by the corresponding membership functions, the concept of fuzzy binary relation is introduced to define the imprecise cooperation relations between the two DMs located at the different levels. An FGP model is formulated to reach the satisfactory values of all the fuzzy goals as close to the optimums as possible by minimizing their deviation variables and thereby finding a candidate solution. The proposed solution algorithm involving an interactive procedure with two orientations enables the higher-level DM to adjust the decision powers of the DMs through changing the cooperation relations, if the solution needs to be re-evaluated. A numerical example is presented to illustrate and demonstrate the proposed method.

Original languageEnglish
Title of host publication40th International Conference on Computers and Industrial Engineering
Subtitle of host publicationSoft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010
DOIs
Publication statusPublished - 2010
Event40th International Conference on Computers and Industrial Engineering, CIE40 2010 - Awaji, Japan
Duration: 2010 Jul 252010 Jul 28

Other

Other40th International Conference on Computers and Industrial Engineering, CIE40 2010
CountryJapan
CityAwaji
Period10-07-2510-07-28

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Membership functions

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Software

Cite this

Chen, H. H., & Chen, L-H. (2010). A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations. In 40th International Conference on Computers and Industrial Engineering: Soft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010 [5668254] https://doi.org/10.1109/ICCIE.2010.5668254
Chen, Hsin Hung ; Chen, Liang-Hsuan. / A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations. 40th International Conference on Computers and Industrial Engineering: Soft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010. 2010.
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Chen, HH & Chen, L-H 2010, A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations. in 40th International Conference on Computers and Industrial Engineering: Soft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010., 5668254, 40th International Conference on Computers and Industrial Engineering, CIE40 2010, Awaji, Japan, 10-07-25. https://doi.org/10.1109/ICCIE.2010.5668254

A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations. / Chen, Hsin Hung; Chen, Liang-Hsuan.

40th International Conference on Computers and Industrial Engineering: Soft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010. 2010. 5668254.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - This paper studies the decentralized bi-level multiobjective programming (DBLMOP) problem with one decision-maker (DM) at the higher level and more than one DM at the lower level. The number of objective functions to be optimized by each DM may be different. The fuzzy relation technique is first incorporated into fuzzy goal programming (FGP) to solve the hierarchical optimization problem. After characterizing the fuzzy goals of the objective functions and the higher-level DM's decision vector by the corresponding membership functions, the concept of fuzzy binary relation is introduced to define the imprecise cooperation relations between the two DMs located at the different levels. An FGP model is formulated to reach the satisfactory values of all the fuzzy goals as close to the optimums as possible by minimizing their deviation variables and thereby finding a candidate solution. The proposed solution algorithm involving an interactive procedure with two orientations enables the higher-level DM to adjust the decision powers of the DMs through changing the cooperation relations, if the solution needs to be re-evaluated. A numerical example is presented to illustrate and demonstrate the proposed method.

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Chen HH, Chen L-H. A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations. In 40th International Conference on Computers and Industrial Engineering: Soft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010. 2010. 5668254 https://doi.org/10.1109/ICCIE.2010.5668254