| Article ID: | iaor1989794 |
| Country: | Japan |
| Volume: | J72-A |
| Issue: | 5 |
| Start Page Number: | 778 |
| End Page Number: | 785 |
| Publication Date: | May 1989 |
| Journal: | Transactions of the Institute of Electronics, Information and Communication Engineers |
| Authors: | Sakawa Masatoshi, Yano Hitoshi |
| Keywords: | forecasting: applications, decision, transportation: rail, Transportation: Rail, programming: linear, statistics: sampling |
In this paper, to cope with the fuzzy environment where human subjective estimation is influential in the regression models, fuzzy linear regression models are introduced via the concepts of possibility and necessity. Using the three indices for the equalities between two fuzzy numbers, three types of formulations are derived for dealing with fuzzy data. As an obvious advantage of these formulations, it is shown that all of the formulated problems can be reduced to linear programming ones. Moreover, by considering the conflict between the fuzzy threshold for the three indices and the fuzziness of the model, multiobjective programming formulations are introduced, and an interactive decision making method is proposed. Finally, an application of the proposed method is demonstrated. [In Japanese.]