A consistency and consensus-based method to group decision making with interval linguistic preference relations

Fanyong Meng · Qingxian An

62 citations0/0 files storedJournal of the Operational Research Society

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Multi-Criteria Decision Making Game Theory and Voting Systems Optimization and Mathematical Programming

Abstract

Preference relations are a powerful tool to address decision-making problems. In some situations, because of the complexity of decision-making problems and the inherent uncertainty, the decision makers cannot express their preferences by using numerical values. Interval linguistic preference relations, which are more reliable and informative for the decision-makers’ preferences, are a good choice to cope with this issue. Just as with the other types of preference relations, the consistency and consensus analysis is very importance to ensure the reasonable ranking order by using interval linguistic preference relations. Considering this situation, this paper introduces a consistency concept for interval linguistic preference relations. To measure the consistency of interval linguistic preference relations, a consistency measure is defined. Then, a consistency-based programming model is built, by which the consistent linguistic preference relations with respect to each object can be obtained. To cope with the inconsistency case, two models for deriving the adjusted consistent linguistic preference relations are constructed. Then, a consistency-based programming model to estimate the missing values is built. After that, we present a group consensus index and present some of its desirable properties. Furthermore, a group consensus-based model to determine the weights of the decision makers with respect to each object is established. Finally, an approach to group decision making with interval linguistic preference relations is developed, which is based on the consistency and consensus analysis. Meanwhile, the associated numerical examples are offered to illustrate the application of the procedure.

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References

1965Fuzzy sets 1996Fuzzy sets 1986Intuitionistic fuzzy sets 1988On ordered weighted averaging aggregation operators in multicriteria decisionmaking 2020Journal of Universal Computer Science 2010Hesitant fuzzy sets 1989Interval valued intuitionistic fuzzy sets 2000A 2-tuple fuzzy linguistic representation model for computing with words

Cited by

2017A new approach for group decision making method with hesitant fuzzy preference relations 2022Robust minimum cost consensus models with various individual preference scenarios under unit adjustment cost uncertainty 2018Goal Programming Approaches to Managing Consistency and Consensus for Intuitionistic Multiplicative Preference Relations in Group Decision Making 2017Decision making with intuitionistic linguistic preference relations 2019Optimal consistency and consensus models for interval additive preference relations: A discrete distribution perspective 2020

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