| Article ID: | iaor20083516 |
| Country: | Japan |
| Volume: | 50 |
| Start Page Number: | 68 |
| End Page Number: | 81 |
| Publication Date: | Dec 2007 |
| Journal: | Transactions of the Operations Research Society of Japan |
| Authors: | Ueda Tohru |
| Keywords: | decision: rules, optimization, programming: nonlinear |
Complex procedures are used in the formulation of dual scaling for successive categories data proposed by Nishisato. However, in a mathematical programming approach, successiveness is easily represented as constraints. Moreover, in a mathematical programming approach it is easy to add and modify objective functions and constraints. Thus mathematical programming models with various objective functions are proposed. Also a model that treats fuzzy numbers is proposed for the purpose of representing lack of assurance or vagueness in answers. The usefulness of these methods is shown by applying them to three data sets.