| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1016/0165-0114(94)90206-2 |
| Possible and necessary optimality tests in possibilistic linear programming problems. | |
| Inuiguchi M; Sakawa M | |
| 发表日期 | 1994 |
| 出处 | Fuzzy Sets and Systems 67 (1): 29-46 |
| 出版年 | 1994 |
| 语种 | 英语 |
| 摘要 | In this paper, two kinds of optimality concepts are introduced into fuzzy linear programming problems in order to discuss the rationality of an obtained solution. One is possible optimality evaluating the possibility degree to which the solution is optimal. The other, the dual concept, is necessary optimality evaluating the necessity degree to which the solution is optimal. When possibility distributions are defined by closed intervals, degrees of possible and necessary optimalities become binary. Necessary and sufficient conditions for possible and necessary optimalities are induced in this case. Extending the results, methods of calculating the degrees of possible and necessary optimalities are proposed. Some numerical examples are given to demonstrate the proposed methods. |
| 主题 | Methodology of Decision Analysis (MDA) |
| 关键词 | Linear programming Possibility measure Necessity measure optimality Interval programming |
| URL | http://pure.iiasa.ac.at/id/eprint/3891/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/127280 |
| 推荐引用方式 GB/T 7714 | Inuiguchi M,Sakawa M. Possible and necessary optimality tests in possibilistic linear programming problems.. 1994. |
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