Novel score functions for interval-valued intuitionistic fuzzy values

This article proposes a novel method for comparison among interval-valued intuitionistic fuzzy values (IVIFVs). Two distinctive score functions are utilized to distinguish IVIFVs based on the boundary values of interval-valued membership and non-membership. The uncertainty included in the numerical intervals of membership and non-membership for an IVIFV is well treated as uniform potential instead of the unique mean value. The two opposing score functions perform distinct ranking orders based on their individual characters respectively. Besides, the concept for ranking of IVIFVs is newly introduced and a numerical example is illustrated for feasibility and application.