A novel approach to group decision-making with interval-valued intuitionistic fuzzy preference relations via Shapley value

Han Zhou, Xiyuan Ma, Ligang Zhou, Huayou Chen, Weiran Ding

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

This paper proposes a novel weighting approach to group decision-making (GDM) with interval-valued intuitionistic fuzzy preference relations (IVIFPRs) based on a fuzzy cooperative game method and the continuous interval-valued intuitionistic fuzzy ordered weighted averaging (CIVIFOWA) operator. First of all, a continuous IVIFPR (CIVIFPR) is defined based on the CIVIFOWA operator, and then considering the contribution of each decision-maker (DM), an iterative algorithm is designed to redistribute weights of DMs by using cooperative method. Moreover, a logarithm least optimal model is developed to deriving interval priority weights of IFPR and a two-stage resolution process is proposed for the GDM with IVIFPRs. Finally, a practical example with cooperation and competition is provided to verify the feasibility and efficiency of the proposed method. The characteristics of the proposed method are as follows: (1) the iterative algorithm is devoted to deriving DMs’ weights in GDM by using fuzzy cooperative game based on the CIVIFOWA operator in which the contribution of each DM’s opinion to the group indicates the rationality and importance in GDM of their opinions; (2) the weighting algorithm can be adjusted by modifying the attitude parameter based on the CIVIFOWA operator, which makes the proposed method more flexible.
Original languageEnglish
Pages (from-to)1172-1187
JournalInternational Journal of Fuzzy Systems
Volume20
Issue number4
Early online date20 Nov 2017
DOIs
Publication statusPublished - 1 Apr 2018

Fingerprint

Dive into the research topics of 'A novel approach to group decision-making with interval-valued intuitionistic fuzzy preference relations via Shapley value'. Together they form a unique fingerprint.

Cite this