SIMILARITY RELATIONS, FUZZY PARTITIONS, AND FUZZY ORDERINGS

被引：114

作者：

OVCHINNIKOV, S

机构：

[1] Mathematics Department, San Francisco State University, San Francisco

来源：

FUZZY SETS AND SYSTEMS | 1991年 / 40卷 / 01期

关键词：

SIMILARITY RELATIONS; FUZZY PARTITIONS; FUZZY ORDERINGS; FUZZY PREFERENCE RELATIONS;

D O I：

10.1016/0165-0114(91)90048-U

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The paper presents an introduction to the theory of fuzzy binary relations and some related concepts. First, proximity and similarity relations, their classes and fuzzy partitions are introduced and their properties are investigated. Then, major classes of fuzzy orderings are defined and classified with respect to the duality relation. Transitivity properties of fuzzy orderings and the Ferrers property of induced fuzzy orderings are established.

引用

页码：107 / 126

页数：20

共 18 条

[1] RATING AND RANKING OF MULTIPLE-ASPECT ALTERNATIVES USING FUZZY SETS [J].