A new method for comparing interval-valued intuitionistic fuzzy values

This paper presents a new approach to comparing interval-valued intuitionistic fuzzy values. The interval score and accuracy functions are used to build the "net profit" and "risk" local criteria. These criteria are aggregated in a generalized criterion taking into account their weights, which depend on the risk aversion of a decision maker. As opposed to the known methods, a new approach makes it possible to estimate the strength of relations between interval-valued intuitionistic fuzzy values. Using some numerical examples, it is shown that the proposed approach provides intuitively clear results.