On a global optimization problem in the study of information discrepancy
文献类型：期刊论文
| 作者 | Fang, WW |
| 刊名 | JOURNAL OF GLOBAL OPTIMIZATION
 |
| 出版日期 | 1997-12-01 |
| 卷号 | 11期号:4页码:387-408 |
| 关键词 | discrepancy entropy global maximization |
| ISSN号 | 0925-5001 |
| 英文摘要 | A nonlinear function has been introduced for indexing the disagreement degree of a group of judgment matrices (Weiwu Fang, 1994). It has many good properties and may be applied in decision making and information processes. In this paper, we will discuss a global optimization problem concerned with the global maximum of this function which is constrained on some sets of matrices. Because the size of matrix groups in the problem is arbitrary and the number of local maximum solutions increases exponentially, numerical methods are not suitable and formalized results are desired for the problem. By an approach somewhat similar to the branch and bound method, we have obtained some formulae on global maximums, a sufficient and necessary condition of the function taking the maximums, and some maximum solution sets. |
| 语种 | 英语 |
| WOS记录号 | WOS:A1997YF22800004 |
| 出版者 | KLUWER ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/28967]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.RUTGERS STATE UNIV,DIMACS CTR,PISCATAWAY,NJ 08855 2.CHINESE ACAD SCI,INST APPL MATH,BEIJING 100864,PEOPLES R CHINA |
| 推荐引用方式 GB/T 7714 | Fang, WW. On a global optimization problem in the study of information discrepancy[J]. JOURNAL OF GLOBAL OPTIMIZATION,1997,11(4):387-408. |
| APA | Fang, WW.(1997).On a global optimization problem in the study of information discrepancy.JOURNAL OF GLOBAL OPTIMIZATION,11(4),387-408. |
| MLA | Fang, WW."On a global optimization problem in the study of information discrepancy".JOURNAL OF GLOBAL OPTIMIZATION 11.4(1997):387-408. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。