The stability problem for fuzzy bidirectional associative memories

被引：19

作者：

Cheng, QS ^{[1
]}

Fan, ZT

机构：

[1] Peking Univ, Sch Math Sci, Dept Informat Sci, Beijing 100871, Peoples R China

[2] Beijing Polytech Univ, Dept Appl Math, Beijing 100022, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2002年 / 132卷 / 01期

关键词：

fuzzy relation; fuzzy equation; triangular norm; global stability; eigenfuzzy set;

D O I：

10.1016/S0165-0114(01)00165-8

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The fuzzy bidirectional associative memories (FBAMs) are studied in this paper. It is shown that any FBAM based on the S-T composition is globally stable if both S and T are triangular norms or triangular conorms. When T is an upper semicontinuous triangular norm, some necessary and sufficient conditions are established in such a way that the FBAMs based on the max-T composition are globally stable, and the stable states and the equilibria of the FBAMs were studied. When T is a continuous triangular norm, it is proved that the sequence of reverberation states of the learning FBAM is nonincreasing. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：83 / 90

页数：8

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