Handling augmented appraisal degrees from multiple perspectives with the universal operator X a,b,c,d,e,f

Abstract

An augmented appraisal degree (AAD) is a generalization of a membership grade that indicates not only the level to which but also the reasons why a proposition is deemed to be true (or false). AADs as such can be used for the augmentation of the membership and non- membership components of each element of an intuitionistic fuzzy set (IFS). Such augmented IFSs have been proven to be useful for handling experience-based evaluations (XBEs) given by a heterogeneous group of people. In this paper, a semantic interpretation of the universal operator Xa,b,c,d,e,f , which is part of the IFS framework, is proposed as a novel option to obtain an approximation of how an AAD characterizing an XBE given by someone is perceived from the perspective of someone else. We illustrate how this interpretation can be applied to handle AADs – and thus XBEs – from multiple perspectives.