A valued Ferrers relation for interval comparison

作     者：Oeztuerk, Meltem Tsoukias, Alexis 

作者机构：Univ Paris 09 CNRS Lamsade Paris France 

出 版 物：《FUZZY SETS AND SYSTEMS》 (模糊集与系)

年 卷 期：2015年第266卷

页      面：47-66页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：Decision making Preference modeling Valued binary relation Interval comparison Interval orders Ferrer relation 

摘      要：The paper deals with the valued comparison of intervals for decision making. Interval orders are classical preference structures where the comparison of intervals is done in an ordinal way. In this paper we focus on valued comparison where more information, especially the distance between end-points of intervals, is used in order to have more sophisticated preference structures. The generalization of an interval order as a valued structure requires the choice of de Morgan triplets. We propose a valued outranking relation for interval comparison and show that it satisfies different definitions of valued interval orders using different de Morgan triplet. The decomposition of our outranking relation into preference and indifference provides a valued preference structure where the preference is T-transitive and monotone. (C) 2014 Elsevier B.V. All rights reserved.