| Article ID: | iaor1991697 |
| Country: | Japan |
| Volume: | J72-A |
| Issue: | 7 |
| Start Page Number: | 1062 |
| End Page Number: | 1068 |
| Publication Date: | Jul 1989 |
| Journal: | Transactions of the Institute of Electronics, Information and Communication Engineers |
| Authors: | Sakawa Masatoshi, Yano Hitoshi |
| Keywords: | decision, decision theory, programming: nonlinear |
In this paper, the authors focus on multiobjective nonlinear programming problems with fuzzy parameters and extend the ordinary feasibility and Pareto optimality concepts via the concepts of possibility and necessity for fuzzy numbers. Using the four indices for ranking two fuzzy numbers, four types of generalized 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 multiobjective nonlinear programming problems with fuzzy parameters may be obtainable using the nonlinear programming methods. [In Japanese.]