Ranking Methods of Intuitionistic Fuzzy Numbers in Multicriteria Decision Making

Intuitionistic fuzzy theory is an excellent tool to represent uncertainty and vagueness in fuzzy multi criteria decision making problems. When intuitionistic fuzzy numbers are used to express fuzzy information, they need to compare with each other to indicate the relative importance or priority. This paper reviews an existed method of ranking two intuitionistic fuzzy numbers, and further defines another ranking method based on probabilities. Then we present two step-by-step processes to rank intuitionistic fuzzy numbers based on probabilities and both hesitations and probabilities, respectively. Each process is illustrated by a numerical example and its own available range or condition is discussed as well.