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Xiyu Liu
Jie Xue



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Xiyu Liu
Jie Xue


WSEAS Transactions on Systems and Control


Print ISSN: 1991-8763
E-ISSN: 2224-2856

Volume 12, 2017

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 12, 2017



A Morse Membrane Boltzmann Machine Model with Applications in Cluster Analysis

AUTHORS: Xiyu Liu, Jie Xue

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ABSTRACT: The purpose of this paper is to propose a new kind of P system on chain structure. We present the basic discrete Morse structure, membrane structures on complexes, objects with positive and negative charges and communication rules on chains. The computation completeness of Morse P system is proved by simulation of register machine. The process of Boltzmann Machines are implemented by Morse P system. A new clustering technique is described on Morse P system based Boltzmann Machines. Examples are given to show the effect of the algorithm.

KEYWORDS: Cluster analysis, membrane computing, discrete Morse theory, chain structure

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WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 12, 2017, Art. #49, pp. 476-489


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