Comparison of two versions of the Ferrers property of fuzzy interval orders

被引：0

作者：

Diaz, Susana ^{[1
]}

De Baets, Bernard ^{[2
]}

Montes, Susana ^{[1
]}

机构：

[1] Univ Oviedo, Dept Stat & OR, Oviedo, Spain

[2] Univ Ghent, Dept Appl Math Biometr & Proc Control, Ghent, Belgium

来源：

PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE | 2009年

关键词：

completeness; Ferrers property; partial interval order; total interval order; fuzzy relation;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We focus on the Ferrers property of fuzzy preference relations. We study the connection between the Ferrers property and fuzzy interval orders. A crisp total interval order is characterized by the Ferrers property of its strict preference relation. Also, a crisp preference structure is a total interval order if and only if its large preference relation satisfies the Ferrers property. For fuzzy relations the Ferrers property admits two non equivalent expressions. Here we compare both conditions by means of completeness. We also study if they characterize a fuzzy total interval order.

引用

页码：780 / 785

页数：6

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