UNCERTAINTY DATA CREATING INTERVAL-VALUED FUZZY RELATION IN DECISION MAKING MODEL WITH GENERAL PREFERENCE STRUCTURE

Abstract

The paper introduces a new approach to preference structure, where from a weak preference relation derive the following relations:<br />strict preference, indifference and incomparability, which by aggregations and negations are created and examined. We decomposing a preference relation into a strict preference, an<br />indifference, and an incomparability relation.<br />This approach allows one to quantify different types of uncertainty in selecting alternatives.<br />In presented preference structure we use interval-valued fuzzy relations, which can be interpreted as a tool that may help to model in a better way imperfect information, especially under imperfectly<br />defined facts and imprecise knowledge.<br />Preference structures are of great interest nowadays because of their applications, so we propose at the end the algorithm of decision making by use new preference structure.