Golden Rule and Other Representative Values for Atanassov Type Intuitionistic Membership Grades

Our interest here is on comparing Atanassov type intuitionistic membership grades, this is a problem since they are not completely ordered. We suggest the use of an associated scalar value that we refer to as the representative value. We note the formal correspondence between interval valued membership grades and Atanassov type intuitionistic membership grades. Inspired by this we review some ideas on the formulation of representative values for interval valued membership grades. We then use this formal correspondence to help transfer these ideas to Atanassov type intuitionistic membership grades. We note while the construction of a representative value requires the satisfaction of some properties, these properties do not completely constrain its formulation and as such leave room for the inclusion of some subjective aspects in formulating representative values. Here we look at different representative values. A particularly notable example of representative values investigated here is what we refer to as the Golden Rule representative value.