Grey Numbers in Multiple Criteria Decision Analysis and Conflict Resolution

Abstract

Definitions of grey numbers are adapted for incorporation into Multiple Criteria Decision Analysis and the Graph Model for Conflict Resolution in order to capture uncertainty in decision making. The main objective is to design improved methods for dealing with decision problems under uncertainty, characterized by limited input data and uncertain preferences of decision makers. A literature review is carried out in order to understand the problems of representing uncertainty using grey numbers within two key decision making contexts: comparing alternative solutions within an multiple criteria decision analysis framework, and deciding upon meaningful courses of action by decision makers involved in a conflict. Then two methodologies that rely on grey numbers to represent uncertain information are provided, and relevant definitions, procedures, and solution concepts are presented.