Possibility Degree of Interval-valued Intuitionistic Fuzzy Numbers and its Application

Interval-valued intuitionistic fuzzy number uses membership degree and non-member ship degree to express a decision-maker's hesitation, which make decision-maker express his/her opinion in uncertainty decision-making environment easily. The comparison between some interval-valued intuitionistic fuzzy numbers can not be undertaken because of its limitation. In application such as weak consistency judgment of an interval-valued intuitionistic fuzzy judgment and multi-attribute decision-making, the comparison operator is needed. To expand its application, new possibility degree functions of interval-valued intuitionistic fuzzy numbers were proposed. The possibility degree of interval-valued intuitionistic fuzzy numbers was applied to multi-attribute decision-making and an example was used to illustrate it.