Article ID: | iaor20022514 |
Country: | India |
Volume: | 38 |
Issue: | 5 |
Start Page Number: | 484 |
End Page Number: | 495 |
Publication Date: | Oct 2001 |
Journal: | OPSEARCH |
Authors: | Abo-Sinna Mahmoud A. |
Keywords: | fuzzy sets, programming: multiple criteria |
This paper studies a bi-level non-linear multi-objective decision making (BLN-MODM) problem with linear (or nonlinear) constraints, and in which the objective function at each levels are nonlinear functions, which are to be maximized. The BLN-MODM problem can be thought of as a static version of the Stackelberg leader–follower game in which a Stackelberg strategy is used by the leader (or the higher-level decision maker (HLDM)), given the rational reaction of the follower (or the lower-level decision maker (LLDM)). From this point of view, this paper proposes a two-planner bi-level multi-objective decision-making model and solution method for solving this problem. This method uses the concepts of tolerance membership function and multi-objective optimization (MOO) (at each level) to develop a fuzzy max–min decision model for generating Pareto optimal (satisfactory) solution for BLN-MODM problem. The HLDM specifies his/her objective functions and decisions with possible tolerances, which are described by membership functions of fuzzy set theory. Then, the LLDM uses this preference information for HLDM and solves his/her problem subject to the HLDMs' restrictions. An illustrative numerical example is given to demonstrate the obtained results.