Novel consistency and consensus of generalized intuitionistic fuzzy preference relations with application in group decision making

• Published in: Applied intelligence (Dordrecht, Netherlands) Netherlands), 2022-11, Vol.52 (14), p.16832-16851
• Main Authors: Xie, Huan Tian, Ma, Zhen Ming, Xu, Ze Shui, Fu, Zun Wei, Yang, Wei
• Format: Article
• Language: English
• Subjects: Artificial Intelligence; Computer Science; Consistency; Decision analysis; Decision making; Machines; Manufacturing; Mechanical Engineering; Methods; Preferences; Processes
• ISSN: 0924-669X; 1573-7497
• DOI: 10.1007/s10489-021-03081-z

Preference relations are an efficient technology to derive the priority vectors for the alternatives in group decision-making. In this paper, an analysis of the existing research on group decision-making with intuitionistic fuzzy preference relations (IFPRs) indicates that IFPRs have some desirable properties similar to those in fuzzy situation. Then, generalized intuitionistic fuzzy preference relations (GIFPRs) and their consistency are proposed to model all those desirable properties. The given consistent GIFPRs are completely characterized by intuitionistic fuzzy priority vectors (IFPVs). For inconsistent GIFPRs, the novel δ -acceptable consistency and consensus are proposed to preserve the original preference information as much as possible and methods without thresholds seeking to reach the desirable requirements are provided and visualized. Some numerical examples are given to illustrate the proposed models work; and comparisons with the existing methods are also offered to demonstrate the validity, applicability and advantages of the proposed method.