A cumulative belief degree approach for group decision-making problems with heterogeneous information

Bilal Ervural*, Özgür Kabak

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


In some complex group decision-making (GDM) problems, the information needing to be processed may be heterogeneous. This may involve consideration of objective and subjective criteria by experts who have their own particular set of criteria, their own preference format for assessing alternatives under these criteria, and who may themselves be assigned differing importance weights as experts. This paper presents a cumulative belief degree approach to cope with heterogeneous information in multiple attribute GDM problems. The proposed approach focuses to aggregate subjective expert assessments and objective criteria that are presented in various representation formats and scales. The methodology employs transformation formulae for several preference representation scales to belief structure, including 2-tuple representation, classical fuzzy sets, hesitant fuzzy sets, and intuitionistic fuzzy sets. Aggregation formulae are proposed to combine expert criteria evaluations and find a collective preference. A consensus degree is calculated for measuring the agreement between the experts. An illustrative example is presented to clarify the steps of the methodology, and validity of the approach is assured through comparative analysis with the existing methods.

Original languageEnglish
Article numbere12458
JournalExpert Systems
Issue number6
Publication statusPublished - 1 Dec 2019

Bibliographical note

Publisher Copyright:
© 2019 John Wiley & Sons, Ltd


Özgür Kabak (Project no: 38169) and Bilal Ervural (Project no: 39625) are supported by Istanbul Technical University BAP. The authors make special mention of Prof. Da Ruan, who passed away in 2011, as he developed the cumulative belief degree approach with Özgür Kabak. No potential conflict of interest was reported by the authors.

FundersFunder number
Istanbul Teknik Üniversitesi


    • cumulative belief degree
    • heterogeneous information
    • multiple attribute group decision making


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