Consensus Building in a Local Context for the AHP-GDM With the Individual Numerical Scale and Prioritization Method

Yucheng Dong · Zhi‐Ping Fan · Shui Yu

68 citations0/0 files storedIEEE Transactions on Fuzzy Systems

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Multi-Criteria Decision Making Decision Support System Applications Game Theory and Voting Systems

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.

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References

1985The Analytic Hierarchy Process 1977A scaling method for priorities in hierarchical structures 2000A 2-tuple fuzzy linguistic representation model for computing with words 2011Hesitant Fuzzy Linguistic Term Sets for Decision Making 1998Aggregating individual judgments and priorities with the analytic hierarchy process 2003Some issues on consistency of fuzzy preference relations 2003A method based on linguistic aggregation operators for group decision making with linguistic preference relations*1 1985A note on the analysis of subjective judgment matrices

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