Implementation of Cumulative Belief Degree Approach to Group Decision-Making Problems Under Hesitancy

Nurullah Güleç, Özgür Kabak*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Citation (Scopus)


In multi-criteria group decision-making problems (GDM), decision-makers (DMs) may have hesitancy in their evaluations on assigning linguistic terms. Recently, the use of the Hesitant Fuzzy Linguistic Terms (HFLTs) has increased rapidly due to the flexibility it provides to DMs for representing the hesitancy in their evaluation. Using HFLTs, DMs can assign more than one linguistic term in their evaluations. There are a lot of studies in the literature for solving GDM problems with HFLTs. However, when HFLTs and other evaluation formats such as direct value assignment, classical fuzzy sets, linguistic terms, etc. are used in the same problem, the methods in the literature are limited. The Cumulative Belief Degree (CBD) approach, based on fuzzy linguistic terms and belief structure, is a solution method applied in many complex multi-criteria GDM problems under different assessment methods. In this study, a multi-criteria GDM problem in which the evaluations are provided with different evaluation formats including HFLTs is considered. A method based on the CBD approach has been developed. Specifically, the transformation formula for converting HFLTs to CBDs is proposed. The proposed method has been applied to a sales manager selection problem in the literature. The method has been shown to be convenient for GDM problems with HFLTs.

Original languageEnglish
Title of host publicationContributions to Management Science
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages17
Publication statusPublished - 2021

Publication series

NameContributions to Management Science
ISSN (Print)1431-1941
ISSN (Electronic)2197-716X

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.


  • Cumulative belief degree (CBD)
  • Hesitant fuzzy linguistic terms (HFLTs)
  • Multi-criteria group decision-making


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