In decision-making situations a problem that exists with interval valued membership grades [1] is that they are not completely ordered. This implies that it is not easy to choose between alternatives whose degrees of satisfaction to a decision problem are expressed using these types of non-standard membership grades. One approach to addressing this problem is to associate with any interval valued membership grade a scalar value that we refer to as its representative value [2]. We then compare alternatives by comparing their representative values. A similar problem arises when we use Atanassov type intuitionistic membership grades [3–5]. Here again we must use representative values for the membership grades. Our focus here is on the formulation for representative values for these types on nonstandard membership grades. In the following we shall use the formal connection between interval-valued membership grades and Atanassov type intuitionistic membership grades discussed by Deschrijver and Kerre [6] to jointly develop these types of representative values.
['Ronald R. Yager']
Golden rule representative values for non-standard membership grades