Group Decision Making with Incomplete Interval-Valued Intuitionistic Preference Relations

摘要

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.