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 language | English |
|---|---|
| Title of host publication | 40th International Conference on Computers and Industrial Engineering |
| Subtitle of host publication | Soft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010 |
| DOIs | |
| Publication status | Published - 2010 |
| Event | 40th International Conference on Computers and Industrial Engineering, CIE40 2010 - Awaji, Japan Duration: 2010 Jul 25 → 2010 Jul 28 |
Other
| Other | 40th International Conference on Computers and Industrial Engineering, CIE40 2010 |
|---|---|
| Country | Japan |
| City | Awaji |
| Period | 10-07-25 → 10-07-28 |
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All Science Journal Classification (ASJC) codes
- Computational Theory and Mathematics
- Software
Cite this
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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 proceeding › Conference contribution
TY - GEN
T1 - A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations
AU - Chen, Hsin Hung
AU - Chen, Liang-Hsuan
PY - 2010
Y1 - 2010
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=78651451433&partnerID=8YFLogxK
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U2 - 10.1109/ICCIE.2010.5668254
DO - 10.1109/ICCIE.2010.5668254
M3 - Conference contribution
SN - 9781424472956
BT - 40th International Conference on Computers and Industrial Engineering
ER -