The analytic hierarchy process with personalized individual semantics
- DOI
- 10.2991/ijcis.11.1.34How to use a DOI?
- Keywords
- Analytic hierarchy process (AHP); personalized individual semantics (PIS); numerical scale; the 2-tuple linguistic model; consistency-driven methodology
- Abstract
Personalized individual semantics (PIS) is not unusual in our daily life, and it has an important influence on the final decision results in linguistic decision making. The analytic hierarchy process (AHP) has now become a popular decision tool because of its sound mathematical design and ease of applicability to real-world decision making problems. In the AHP, two formats of preference information are included: linguistic and numerical preference information. In order to implement the computation operation, the linguistic preference information is often transformed into the numerical preference information using a fixed numerical scale function (e.g., the Saaty scale). However, the PIS is not taken into account by the AHP with a fixed numerical scale function. Therefore, this study proposes a novel AHP framework with the PIS, and develops a consistency-driven methodology to minimize the inconsistency level of numerical preference information that transformed from linguistic preference information. In the proposed AHP framework, a two-stage based optimization model is designed to deal with the PIS, and the proposed optimization models are converted into some linear programming models that can be easily solved. Finally, a practical example and a comparison experiment are proposed to verify the validity of our proposal.
- Copyright
- © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
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TY - JOUR AU - Qiuxiang Zhou AU - Yucheng Dong AU - Hengjie Zhang AU - Yuan Gao PY - 2018 DA - 2018/01/01 TI - The analytic hierarchy process with personalized individual semantics JO - International Journal of Computational Intelligence Systems SP - 451 EP - 468 VL - 11 IS - 1 SN - 1875-6883 UR - https://doi.org/10.2991/ijcis.11.1.34 DO - 10.2991/ijcis.11.1.34 ID - Zhou2018 ER -