2006 Fiscal Year Final Research Report Summary
A study of the determination of ranking schemes for various aspect base on a new ranking method
| Project/Area Number |
16500182
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Statistical science
|
|---|
| Research Institution | Tokyo Metropolitan College of Industrial Technology (2006)
Tokyo Metropolitan College of Technology (2004-2005) |
|---|
Principal Investigator |
HOFUKU Ichiro Tokyo metropolitan college of industrial technology, Monozukuri engineering Department, Assistant professor, ものづくり工学科, 助教授 (10229205)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
OSHIMA Kunio Tokyo University of Science, School of Management, Professor, 経営学部, 教授 (90130327)
|
|---|
| Project Period (FY) |
2004 – 2006
|
| Keywords | Perron-Frobenius / Ranking / Irreducible matrix |
|---|
| Research Abstract |
The purpose of this study is to generate the total report that I have ever worked for three years about the ranking determination with various situations. To generate the report, we have obtained the ideas to solve problems as follows ;
(1) a method for generate the ranking for multiplex choice problems
(2) a method for generate the mixed ranking among multiple groups
(3) a study to take the characteristics for various rankings I have ever developed
For these problems, I had been struggling to have the complete solutions for the first two years and then we generated the total report about the ranking determination I have ever developed in the third year. To classify the theories for ranking schemes with various aspects, we are going to construct the contents with three terms as follows ;
(a) to determine the number of constructed sets
(b) to classify the rankings which is generated by considering various aspects and making some classes
(c) to correspond a class to the situation which is selected by the application of competition or trial and so on
Considering the terms from (a) to (c), we can make the total report and as the result of that, it is possible to generate the algorithm more efficiency than we have ever created in determining the rankings with various aspects.
|
Research Products
(12 results)
