Sains Malaysiana 49(9)(2020): 2043-2051

http://dx.doi.org/10.17576/jsm-2020-4909-02

Temporal Discrete Z-Number and Its Application in Assessing EEG Signal Data of Epileptic Seizure

(Nombor-Z Diskret Temporal dan Aplikasinya dalam Menilai Data Signal EEG Sawan Epilepsi)

MUJAHID ABDULLAHI^1,2, TAHIR AHMAD¹* & VINOD RAMACHANDRAN³

¹Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor Darul Takzim, Malaysia

²Department of Mathematics and Computer Science, Faculty of Natural and Applied Sciences, Sule Lamido University 048 SLU Kafin Hausa, Jigawa, Nigeria

³Level 23, Menara CIMB, Jalan Stesen Sentral 2, Kuala Lumpur Sentral, 50470 Kuala Lumpur, Federal Territory, Malaysia

Diserahkan: 15 Januari 2020/Diterima: 10 Mei 2020

ABSTRACT

Analysis and modeling of a complex physical system, particularly EEG signals involved vague and uncertain information. The approach introduced by Kosanovic using temporal fuzzy set to model a complex system particularly the EEG signal does not address the problem of uncertainty for the time of occurrence. In this paper, an ordered discrete Z-number is used to construct temporal discrete Z-number to assess EEG signal data of an epileptic seizure for the first time. The proposed temporal discrete Z-number is able to accommodate the problem of uncertainty with regards to the time of occurrence for a given seizure by using and modifying the method for measuring the uncertainty of Z-number.

Keywords: Discrete Z-number; dynamic system; fuzzy set; uncertainty; Z-number

ABSTRAK

Pemodelan dan analisis sesuatu sistem yang kompleks, khususnya tentang kesamaran dan kebolehpercayaan melibatkan maklumat isyarat EEG itu sendiri. Pendekatan yang diperkenalkan oleh Kosanovic menggunakan set kabur temporal bagi memodelkan sesuatu sistem yang kompleks tidak menangani masalah ketidakpastian masa kejadian akan maklumat yang tercerap. Dalam makalah ini, nombor-Z diskret tertib digunakan bagi membina nombor-Z diskret temporal untuk menganalisis isyarat EEG yang tercerap ketika serangan sawan, diperkenalkan buat julung kalinya. Nombor-Z diskret temporal mampu menangani masalah ketidakpastian berhubung dengan pemasalahan masa kejadian bagi sesuatu serangan sawan dengan menggunakan pengubahsuaian yang dibuat terhadap kaedah mengukur ketidakpastian bagi nombor-Z.

Kata kunci: Ketidakpastian; nombor-Z; nombor-Z diskret; set kabur; sistem dinamik

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*Pengarang untuk surat-menyurat; email: tahir@ibnusina.utm.my