T-EIGEN FUZZY-SETS

被引：7
|
作者：
FERNANDEZ, MJ
SUAREZ, F
GIL, P
机构：
[1] Departamento de Matemáticas, Facultad de Ciencias, 2 Planta, c) Calvo Sotelo, s/n, Universidad de Oviedo
来源：
INFORMATION SCIENCES | 1993年 / 75卷 / 1-2期
关键词：
D O I：
10.1016/0020-0255(93)90113-Z
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper concerns the study of the solutions of sup-T equations such that ATR=A, where T is a triangular norm and R is a fuzzy relation. By generalizing a result from Sanchez [12], we determine the greatest T-eigen fuzzy set of a fuzzy relation (a T-eigen fuzzy set of R being a fuzzy set A which is a solution of ATR=A). We also study some algebraic properties for the class of the T-eigen sets of a fuzzy relation, and for the set of fuzzy relations leaving invariant a given fuzzy set. Finally, properties related with the transitive closure are established.
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页码：63 / 80
页数：18
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