Article ID: | iaor19891111 |
Country: | Netherlands |
Volume: | 41 |
Issue: | 2 |
Start Page Number: | 210 |
End Page Number: | 217 |
Publication Date: | Jul 1989 |
Journal: | European Journal of Operational Research |
Authors: | Rommelfanger Heinrich |
Keywords: | fuzzy sets |
This paper presents an interactive method for solving a (multi-criteria) linear program, where coefficients of the objective functions and/or of the constraints are known exactly but imprecisely. Assuming (fuzzy) aspiration levels for each of the goals and basing on a comparison of (flat) fuzzy numbers, the original fuzzy problem is transformed into a crisp satisfactory model. To determine a suitable compromise solution we will maximize the minimum of the surpluses over the aspiration levels. This induces a problem with a nonlinear objective function, which is equivalent to a linear program.