| Article ID: | iaor20002426 |
| Country: | Japan |
| Volume: | 43 |
| Issue: | 5 |
| Start Page Number: | 236 |
| End Page Number: | 243 |
| Publication Date: | May 1999 |
| Journal: | Systems, Control and Information |
| Authors: | Sakawa Masatoshi, Nishizaki Ichiro |
| Keywords: | game theory, decision, programming: linear |
In this paper, we review some solution concepts to linear programming problems with two decision makers, and then explain interactive fuzzy programming for two-level linear programming problems. In the interactive method, after determining the fuzzy goals of the decision makers at all levels, a satisfactory solution is derived efficiently by updating the satisfactory degrees of decision makers with considerations of overall satisfactory balance between both levels. An illustrative numerical example for a two-level linear programming problem is provided.