Some arithmetic aggregation operators within intuitionistic trapezoidal fuzzy setting and their application to group decision making

As intuitionistic trapezoidal fuzzy number can reveal the degree of an attribute satisfy or dissatisfy a trapezoidal fuzzy number rather than a certain fuzzy concept, it is interesting to introduce it to resolve multi-criteria decision making problems. This paper reviews some existed intuitionistic trapezoidal aggregation operators and presents a new arithmetic aggregation operator, i.e. induced intuitionistic trapezoidal fuzzy ordered weighting aggregation operator which includes a general reordering step. Some operational laws about the operator are studied, as well as relationships between it and other existed aggregation operators. Then a multi-criteria group decision making process is developed utilizing the proposed operator and the intuitionistic trapezoidal fuzzy weighting arithmetic average operator, the validity and practicality of which illustrated by a numerical example about the evaluation of security of information systems from related literature.