Two Additive Consistency Ascertaining,Weight Derivation and Application of Hesitant Fuzzy Linguistic Preference Relations
Consistency is one of the key and challenging issues in decision-making processes,which affects the validity and accuracy of preference relations and decision results.When the decision makers'preference is expressed by the hesitant fuzzy lin-guistic term set,in order to obtain the decision information in the linguistic decision environment effectively,this paper studies the consistency ascertaining,inconsistency repairing and weight derivation for hesitant fuzzy linguistic preference relations.First,two new definitions of additive consistency for hesitant fuzzy linguistic preference rela-tions are proposed:Completely additive consistency and weakly additive consistency.Based on the proposed definitions of additive consistency,some linear programming models and 0-1 mixed programming models are provided to ascertain the consistency.In addition,for the incomplete hesitant fuzzy linguistic preference relations,some methods are developed to estimate the missing values and ascertain the consistency.When the hesitant fuzzy linguistic preference relations are inconsistent,a repairing method is developed,then the priority weights are calculated based on the consis-tency.Finally,some specific examples of decision problems and comparative analysis are provided to show the effectiveness and rationality of the models.
Hesitant fuzzy linguistic preference relationsadditive consistencyin-consistency repairingpriority weight
NETL
NSTL
万方数据
