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The stability problem for fuzzy bidirectional associative memories

机译:模糊双向联想记忆的稳定性问题

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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 5 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.
机译:本文研究了模糊双向联想记忆(FBAM)。结果表明,如果5和T均为三角范数或三角范数,则任何基于S-T成分的FBAM都是全局稳定的。当T为上半连续三角范数时,以基于max-T成分的FBAM全局稳定的方式建立了一些必要条件和充分条件,并研究了FBAM的稳态和平衡。当T为连续的三角形范数时,证明了学习型FBAM的混响状态序列不增加。

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