Families of Value-Dependent Preference Aggregation Operators with Their Structures and Properties

Abstract

In evaluation and decision making frequently we need to consider and then well model the subjective preferences and behaviors of decision makers. This study firstly defines literally three types of conformities, namely, the Bounded Conformity, Extreme Conformity and Bounded Extreme Conformity. Then, we define two types of value-dependent preference aggregation operators, s-t-A extreme operators and Level dependent Preferences Ordered Weighted Averaging operators, to specifically model Extreme Conformity and Bounded Extreme Conformity, respectively. Some related mathematical properties and simple numerical examples are also presented.