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| Preliminary study of the second order Analytic Hierarchy Process based on Taylor expansion |
| Received:April 22, 2021 Revised:November 16, 2021 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20210422002 |
| KeyWord:effectiveness evaluation AHP second order model Taylor expansion |
| Author | Institution |
| 赵维涛 |
沈阳航空航天大学 航空宇航学院, 沈阳 |
| 尹福平 |
沈阳航空航天大学 航空宇航学院, 沈阳 |
| 胡东超 |
沈阳航空航天大学 航空宇航学院, 沈阳 |
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| Abstract: |
| The classical AHP (Analytic Hierarchy Process) is often used to evaluate the effectiveness or capability of weapons and equipment.However,the classical AHP adopts a linear weighted model,that is,the bottom-level index efficiency can be weighted linearly to get the top-level index efficiency,which often introduces large evaluation errors to the nonlinear system and tends to produce decision-making errors.In order to solve this problem,a second-order weighted model based on Taylor expansion is presented,which takes the efficiency value of the underlying index at 1/2 as the expansion point.For the linear system,the second-order weighted model can be reduced to the classical linear weighted model.The mathematical expression of the second-order AHP is derived,the efficiency evaluation steps of the second-order AHP are given,and the basic framework of the second-order AHP is constructed.The numerical examples show that the evaluation result of the second order AHP are closer to the analytic solution than that of the classical AHP,and the probability of making a decision error is far less than that of the classical AHP. |
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