On partial comparability and fuzzy preference-aversion models

Abstract

A general overview of partial comparability and preference theory allows examining the notion of bipolarity and its role in the development of some general preference structures. This bipolar approach comes natural to the framework of decision theory, where different preference structures can be initially explored according to the type of bipolar model that they follow. Therefore, we compare two general preference structures, the first one, referred to as the PCT structure, which results from a well known axiomatic model for partial comparability theory, and the second one, referred to as the P-A structure, which extends one particular standard fuzzy preference model, such that some basic differences as well as particular similarities are clearly identified.