| Article ID: | iaor19921067 |
| Country: | Netherlands |
| Volume: | 43 |
| Issue: | 1 |
| Start Page Number: | 1 |
| End Page Number: | 15 |
| Publication Date: | Sep 1991 |
| Journal: | Fuzzy Sets and Systems |
| Authors: | Sakawa Masatoshi, Yano Hitoshi |
| Keywords: | programming: nonlinear, programming: multiple criteria |
In this paper, the authors focus on multiobjective nonlinear programming problems with fuzzy parameters and extend the ordinary feasibility and Pareto optimality concepts based on the concepts of possibility and necessity for fuzzy numbers. Using the four indices for ranking two fuzzy numbers, four types of feasibility and Pareto optimality are defined and the relationships among them are examined in detail. These concepts can be viewed as quite generalized versions of the well-known feasibility and Pareto optimality concepts, and the generalized Pareto optimal solutions for the multiobjective nonlinear programming problems with fuzzy parameters may be obtained on the basis of the method of nonlinear programming.