Title :
Consensus Building in a Local Context for the AHP-GDM With the Individual Numerical Scale and Prioritization Method
Author :
Yucheng Dong ; Zhi-Ping Fan ; Shui Yu
Author_Institution :
Bus. Sch., Sichuan Univ., Chengdu, China
Abstract :
The methodology for selecting the individual numerical scale and prioritization method has recently been presented and justified in the analytic hierarchy process (AHP). In this study, we further propose a novel AHP-group decision making (GDM) model in a local context (a unique criterion), based on the individual selection of the numerical scale and prioritization method. The resolution framework of the AHP-GDM with the individual numerical scale and prioritization method is first proposed. Then, based on linguistic Euclidean distance (LED) and linguistic minimum violations (LMV), the novel consensus measure is defined so that the consensus degree among decision makers who use different numerical scales and prioritization methods can be analyzed. Next, a consensus reaching model is proposed to help decision makers improve the consensus degree. In this consensus reaching model, the LED-based and LMV-based consensus rules are proposed and used. Finally, a new individual consistency index and its properties are proposed for the use of the individual numerical scale and prioritization method in the AHP-GDM. Simulation experiments and numerical examples are presented to demonstrate the validity of the proposed model.
Keywords :
analytic hierarchy process; numerical analysis; AHP-GDM model; LED-based consensus rule; LMV-based consensus rule; analytic hierarchy process; consensus building; consensus degree; consensus measure; consensus reaching model; group decision making model; individual consistency index; individual numerical scale; linguistic Euclidean distance; linguistic minimum violation; prioritization method; Analytic hierarchy process; Context; Educational institutions; Indexes; Numerical models; Pragmatics; Vectors; 2-tuple linguistic representation model; Analytic hierarchy process (AHP); consensus; group decision making (GDM); numerical scale; prioritization method;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2014.2312974