Group Decision Making with Incomplete Interval-Valued Intuitionistic Preference Relations

Interval-valued intuitionistic preference relation (IV-IPR) is a new type of preference structure used to describe uncertain evaluation information in decision making process. In this paper, we first define the concept of IV-IPR with multiplicative transitivity, and then give a procedure to construct an IV-IPR with multiplicative transitivity from an incomplete IV-IPR with only known off-diagonal elements. We also extend this procedure to deal with more general cases with much more known evaluation information. Moreover, we develop an approach to group decision making with incomplete IV-IPRs, and finally give an actual application of our approach and compare it with the other approach in the existing literature.