Group decision-making method based on prioritized linguistic intuitionistic fuzzy aggregation operators and its fundamental properties

Linguistic intuitionistic fuzzy set (LIFS) is one of the effective tools to represent the data in form of membership degrees in a qualitative rather than the quantitative aspects. Under this environment, the present paper develops some prioritized aggregation operators which considered the prioritized relationship between the attributes. To achieve it, first, some operational laws on LIF numbers are presented, and hence, based on these, some prioritized aggregation operators, namely, the LIF prioritized weighted, ordered weighted averaging, and geometric aggregation operators, have proposed. The fundamental properties of these operators are also investigated in detail. Furthermore, an approach to solve decision-making problem under LIFS environment has been presented and its efficiency has been verified with an illustrative example.