Interval weight generation approaches for reciprocal relations |
| |
Authors: | Meimei Xia Zeshui Xu |
| |
Institution: | 1. School of Economics and Management, Tsinghua University, Beijing 100084, China;2. Institute of Sciences, PLA University of Science and Technology, Nanjing 210007, China |
| |
Abstract: | In this paper, we propose methods to derive interval weight vectors from reciprocal relations for reflecting the inconsistency when decision makers provide preferences over alternatives (or criteria). Several goal programming models are established to minimize the inconsistency based on multiplicative and additive consistency, respectively. Especially, if we obtain a crisp weight vector from a reciprocal relation, then it is consistent. Then, we extend the proposed methods to incomplete reciprocal relations and interval reciprocal relations and develop the corresponding models to derive interval weight vectors. Several examples are also given to compare the developed methods with the existing ones. |
| |
Keywords: | Reciprocal relation Incomplete reciprocal relation Interval reciprocal relation Multiplicative consistency Additive consistency Goal programming |
本文献已被 ScienceDirect 等数据库收录! |
|