A multi-criterion three-way decision-making method under linguistic interval-valued intuitionistic fuzzy environment

Abstract How to solve a multi-criterion decision-making (MCDM) problem with linguistic interval-valued intuitionistic fuzzy numbers (LIVIFNs) effectively is an important research topic. So far, number of methods for solving this have been presented within the academia. Each these can work well in specific situation. But they could produce undesirable results when information insufficient or acquisition needs certain cost, since all them are based on conventional two-way decision model. In paper, three-way model introduced into environment and method under presented. A relative loss function derived from LIVIFN established corresponding rules developed. Based developed rules, MCDM LIVIFNs proposed. The application proposed illustrated via practical example. effectiveness advantage demonstrated experimental comparison some existing methods. suggest that as effective more flexible than LIVIFNs.