| Article ID: | iaor1999412 |
| Country: | Belgium |
| Volume: | 37 |
| Issue: | 1/2 |
| Start Page Number: | 83 |
| End Page Number: | 98 |
| Publication Date: | Jan 1997 |
| Journal: | Belgian Journal of Operations Research, Statistics and Computer Science |
| Authors: | Slowiski Roman |
| Keywords: | decision theory: multiple criteria, fuzzy sets, programming: linear |
The paper presents an overview of methods for solving three classes of fuzzy multi-objective linear programming problems: flexible programming, multi-objective linear programming with fuzzy coefficients and flexible multi-objective linear programming with fuzzy coefficients. They are using fuzzy sets to deal with uncertainty connected either with preferential information concerning satisfaction of goals and constraints, or with an incomplete or vague state of information used to build the linear programming model, or with both these kinds of uncertainty together, respectively. Special attention is paid to interpretation of fuzzy goals and fuzzy constraints, to interpretation of fuzzy relations and to the character of interaction with the decision maker.