A Preference Degree for Ranking Intuitionistic Fuzzy Numbers

In spite numerous researches on ranking method based on intuitionistic fuzzy numbers, there has not been any study on preference degree based on intuitionistic fuzzy numbers. This paper extends a preference criterion for ranking intuitionistic fuzzy numbers inspire by a well known method of ranking fuzzy numbers. The main properties of the extended preference degree will be also studied into the space of intuitionistic fuzzy numbers. In addition, the feasibility and effectiveness of the proposed ranking method is examined via an applied example related to the multi-criteria group decision-making based on intuitionistic fuzzy linguistic terms. The proposed method also compared with some common methods of ranking intuitionistic fuzzy numbers. Through specific theoretical and numerical results, it is shown that the proposed preference criterion provide us with a useful and valuable way to handle intuitionistic fuzzy numbers in many practical applications of decision making such as multiple attributes group decision-making based on linguistic variables.