Abstract
This article describes how intuitionistic fuzzy sets theory, which is the generalisation of fuzzy sets theory, is a more suitable tool for dealing with imprecise information. The information provided by the decision maker is often imprecise in many situations. So, intuitionistic preference relation is a suitable tool for such cases. The estimation of the priority vector of the intuitionistic preference relation is an important part in decision making. In this article, an intuitionistic fuzzy Choquet integral is proposed and combined with the famous error propagation formula, and developed a method for the priority of an intuitionistic preference relation to estimate the ranking of the considered alternatives. Also, an experiment has been conducted to demonstrate and implementation of the proposed approach.
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