Consistency analysis is a crucial topic for preference relations. This paper studies the consistency of interval linguistic fuzzy preference relations (ILFPRs) using the constrained interval linguistic arithmetic and introduces a new consistency definition. Then, several properties of this definition are researched. Meanwhile, the connection between this concept and a previous one is discussed. Following this concept, programming models for judging the consistency and for deriving consistent ILFPRs are constructed, respectively. Considering the case that incomplete ILFPRs may be obtained, a programming model for obtaining missing judgments following the consistency discussion is built. Afterwards, the consensus for group decision making (GDM) is studied and a model for adjusting individual ILFPRs to reach the consensus threshold is established. Consequently, an interactive procedure for GDM with ILFPRs is presented. A practical problem is provided to illustrate the utilization of the new algorithm and comparative discussion is offered. First published online 19 July 2019
Interval linguistic fuzzy decision making in perspective of preference relations
2019-07-19
doi:10.3846/tede.2019.10548
Technological and Economic Development of Economy; Vol 25 No 5 (2019); 998-1015 ; 2029-4921 ; 2029-4913
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
DDC: | 629 |
Interval linguistic fuzzy decision making in perspective of preference relations
BASE | 2019
|Preference Inconsistency in Multidisciplinary Design Decision Making
Online Contents | 2009
|