ON AGGREGATION OF T-TRANSITIVE FUZZY BINARY RELATIONS

被引：16

作者：

FODOR, JC

OVCHINNIKOV, S

机构：

[1] UNIV AGR SCI, DEPT MATH, GODOLLO, HUNGARY

[2] SAN FRANCISCO STATE UNIV, DEPT MATH, SAN FRANCISCO, CA 94132 USA

来源：

FUZZY SETS AND SYSTEMS | 1995年 / 72卷 / 02期

基金：

匈牙利科学研究基金会;

关键词：

WEAK ORDERS; QUASI-ORDERS; QUASI-TRANSITIVE RELATIONS; PARETO PRINCIPLE;

D O I：

10.1016/0165-0114(94)00346-9

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The paper is concerned with the theory of weak orders, quasi orders, and quasi-transitive relations in the framework of group choice in a fuzzy environment. We characterize completely two extreme cases of group choice rules satisfying the Pareto principle. In particular, we prove that a fuzzy binary relation is a fuzzy quasi order if and only if it is an intersection of fuzzy weak orders. In addition, it is a fuzzy quasi-transitive relation if and only if it is a union of fuzzy weak orders.

引用

页码：135 / 145

页数：11

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