Sains Malaysiana 47(6)(2018): 1327–1335

http://dx.doi.org/10.17576/jsm-2018-4706-30

 

Discrete Hopfield Neural Network in Restricted Maximum k-Satisfiability Logic Programming

(Rangkaian Neural Hopfield Diskret dalam Pengaturcaraan Logik Maksimum

k-Kepuasan Terhad)

 

MOHD SHAREDUWAN MOHD KASIHMUDDIN1*, MOHD ASYRAF MANSOR2

& SARATHA SATHASIVAM1

 

1Pusat Pengajian Sains Matematik, Universiti Sains Malaysia, 11800 USM, Pulau Pinang

Malaysia

 

2Pusat Pengajian Pendidikan Jarak Jauh, Universiti Sains Malaysia, 11800 USM, Pulau Pinang

Malaysia

 

Diserahkan: 19 Ogos 2017/Diterima: 19 Januari 2018

 

 

 

ABSTRACT

Maximum k-Satisfiability (MAX-kSAT) consists of the most consistent interpretation that generate the maximum number of satisfied clauses. MAX-kSAT is an important logic representation in logic programming since not all combinatorial problem is satisfiable in nature. This paper presents Hopfield Neural Network based on MAX-kSAT logical rule. Learning of Hopfield Neural Network will be integrated with Wan Abdullah method and Sathasivam relaxation method to obtain the correct final state of the neurons. The computer simulation shows that MAX-kSAT can be embedded optimally in Hopfield Neural Network.

 

Keywords: Hopfield Neural Network; Maximum k-Satisfiability; Wan Abdullah method

 

ABSTRAK

Maksimum k-Kepuasan (MAX-kSAT) terdiri daripada penyelesaian yang paling konsisten untuk menghasilkan bilangan klausa yang betul secara maksimum. MAX-kSAT merupakan perwakilan logik yang penting dalam pengaturcaraan logik kerana tidak semua masalah kombinatori boleh dipuaskan. Artikel ini membentangkan Rangkaian Neural Hopfield berdasarkan peraturan logik MAX-kSAT. Pembelajaran Rangkaian Neural Hopfield akan diintegrasikan dengan kaedah Wan Abdullah dan kaedah rehat Sathasivam untuk mendapatkan tahap akhir neuron yang betul. Simulasi komputer menunjukkan bahawa MAX-kSAT boleh diintegrasi secara optimum dalam Rangkaian Neural Hopfield.

 

Kata kunci: Kaedah Wan Abdullah; maksimum k-Kepuasan; Rangkaian Neural Hopfield

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*Pengarang untuk surat-menyurat; email: shareduwan@usm.my

 

 

 

 
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