Abstract:

Considering that the representation of the intuitionistic uncertain linguistic variable is always restricted by the historical knowledge of policy makers, perceptual judgment and other factors in the game playing, in the process of benefit groups voting or decision, we improve the relationship between the membership and the nonmembership degree for the intuitionistic sets, and  the generalized intuitionistic uncertain linguistic variables by means of the fuzzy logic non-portal operators are defined. Also, by using the Archimedean t-conorm and t-norm, the generalized intuitionistic uncertain linguistic variable and its aggregating theory are established.

Key words: intuitionistic uncertain linguistic variable; Archimedean t-norm; aggregating operator