Abstract
Based on the Computing with Words (CW), double hierarchy hesitant fuzzy linguistic term set (DHHFLTS) can be used to express complex linguistic information accurately with two simple linguistic hierarchies. This paper proposes a group decision making (GDM) model based on multiplicative consistency and consensus with double hierarchy hesitant fuzzy linguistic preference relations (DHHFLPRs). Firstly, a correlation coefficient of DHHFLTSs is defined based on the distance measures of double hierarchy hesitant fuzzy linguistic elements (DHHFLEs). Then, a multiplicative consistency property of DHHFLPRs is investigated, and a consistency checking method and a feedback mechanism-based repairing algorithm are developed to ensure all DHHFLPRs with acceptable multiplicative consistency. Furthermore, a correlation measure for DHHFLPRs based on the correlation coefficient of DHHFLTSs is proposed, and a new consensus reaching method on the basis of the correlation measure is developed, which can be used to fully obtain the consensus degree from both positive and negative angles. Finally, we make some comparative analyses with other existing consistency checking and repairing method as well as the consensus reaching approach to illustrate the effectiveness of the proposed method by a case study concerning the assessment of the venture capital project about real estate market in some cities of China.
Highlights
Group decision making (GDM), ranking a finite set of alternatives based on the evaluations of a group of decision makers (DMs), has attracted many scholars’ attention in recent years
Considering that the double hierarchy hesitant fuzzy linguistic term set (DHHFLTS) can reflect the real thought of DMs more completely and the advantage of the preferences discussed above, Gou et al (2018a) defined the concept of double hierarchy hesitant fuzzy linguistic preference relation (DHHFLPR) and used it to express the assessments of DMs in large-scale group decision making
This paper has proposed a multiplicative consistency and consensus-based method to solve the group decision making (GDM) problems with DHHFLPRs
Summary
Group decision making (GDM), ranking a finite set of alternatives based on the evaluations of a group of decision makers (DMs), has attracted many scholars’ attention in recent years. Considering that the DHHFLTS can reflect the real thought of DMs more completely and the advantage of the preferences discussed above, Gou et al (2018a) defined the concept of double hierarchy hesitant fuzzy linguistic preference relation (DHHFLPR) and used it to express the assessments of DMs in large-scale group decision making. This way of providing preferences limits DMs in their global perception of the alternatives, generates lots of unnecessary information, and, as a consequence, the provided preferences could be inconsistent (Chiclana et al, 2009).
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