Group decision making based on multiplicative consistency and consensus of fuzzy linguistic preference relations

Fuzzy linguistic preference relations (FLPRs) are an efficient way to express qualitative judgments of decision makers (DMs). This paper proposes a new group decision making (GDM) method based on the multiplicative consistency and consensus of FLPRs. First, we propose the concepts of consistency ind...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Information sciences Jg. 509; S. 71 - 86
Hauptverfasser: Zhang, Zhiming, Chen, Shyi-Ming, Wang, Chao
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 01.01.2020
Schlagworte:
Acceptable multiplicative consistent
Consensus
FLPR
GDM
Integer programming model
Multiplicative consistency
FLPR
Multiplicative consistency
GDM
Acceptable multiplicative consistent
Integer programming model
Consensus
ISSN:0020-0255, 1872-6291
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Fuzzy linguistic preference relations (FLPRs) are an efficient way to express qualitative judgments of decision makers (DMs). This paper proposes a new group decision making (GDM) method based on the multiplicative consistency and consensus of FLPRs. First, we propose the concepts of consistency index and acceptable multiplicative consistent FLPRs. Then, we propose a method to improve the consistency of a FLPR, by which an acceptable multiplicative consistent FLPR is derived. Subsequently, we propose the consensus index for measuring the agreement among DMs. With respect to some FLPRs have an unacceptable multiplicative consistency and an unacceptable consensus, we propose an integer programming model to make both their consistency and consensus better to yield improved FLPRs with acceptable multiplicative consistency and consensus. Furthermore, the DMs’ comprehensive weight vector is determined. Then, we propose a new GDM algorithm following the multiplicative consistency and consensus of FLPRs. Finally, the feasibility and the applicability of the proposed GDM method are illustrated via an application example and some comparative analyses with the existing GDM methods.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2019.09.002