Ubah suaian perluasan-topsis untuk keputusan multi-kriterium linguistik kabur (Modification of TOPSIS-extension for Fuzzy Linguistic Multi-Criteria Decision)

Tarmudi, Zamali and Md. Tap, Abu Osman (2013) Ubah suaian perluasan-topsis untuk keputusan multi-kriterium linguistik kabur (Modification of TOPSIS-extension for Fuzzy Linguistic Multi-Criteria Decision). Journal of Quality Measurement and Analysis, 9 (1). pp. 21-23. ISSN 1823-5670

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Abstract

ABSTRAK Dapat diperhatikan bahawa kata putus dalam masalah multi-kriterium yang dibuat secara linguistik kabur adalah lebih mudah serta ‘mesra pengguna’ berbanding dengan menggunakan nilai skala yang kuantitatif. Dalam kajian ini diusulkan pendekatan pemboleh ubah linguistik kabur untuk dimanfaat dalam kaedah ubah suaian perluasan-TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) secara mengurangkan daripada sebelas kepada tiga potongan-α. Analisis dimulai dengan mengkuantitikan pemboleh ubah linguistik kabur melalui nombor kabur segi tiga untuk diterapkan dalam gabungan kaedah perluasan-TOPSIS dan pengaturcaraan tak linear. Selanjutnya, pengiraan dibuat untuk mendapatkan tiga nilai potongan-α, iaitu α = 0, α = 0.5 dan α = 1.0, sebelum proses penyahkaburan dan pemangkatan dapat dilakukan bagi mengenal pasti alternatif yang terbaik. Di akhir kajian diberi contoh penggunaan pemboleh ubah linguistik kabur dan ubah suaian yang diusulkan berserta pengiraan yang berkaitan dalam masalah multi-kriterium pemilihan. Dapatan pengiraan menunjukkan, ia memberi manfaat dari aspek penjimatan masa pengiraan dan dapat mengurangkan kerumitan proses pemutusan tanpa menjejaskan ketepatan dapatan kajian. Kata kunci: nombor kabur; pemboleh ubah linguistik; pembuat keputusan multi-kriterium; TOPSIS ABSTRACT It is observed that decision making for a multi-criteria problem is easier and user friendly by using a fuzzy linguistic approach compared to the numeric scales. In this paper, the advantage of linguistic variables is utilised in a modification of Technique for Order Preference by Similarity to Ideal Solution (TOPSIS)-extension by reducing the a-cuts from eleven to three levels. In the first place, the linguistic variables are quantified through triangular fuzzy numbers employed in both TOPSIS-extension and non-linear programming; afterwards the three α-cuts, namely α = 0, α = 0.5 dan α = 1.0, are calculated before the defuzzifying and ranking process was made to identify the best alternative under consideration. A hypothetical example in a multi-criteria decision-making problem is provided to demonstrate the applicability and practicability of the proposed modification method. Based on the numerical calculations, it is found that the method is beneficial to reduce the decision process complexity and is less time consuming, giving a similar result without loss of any originality.

Item Type:	Article (Journal)
Additional Information:	5996/32741
Uncontrolled Keywords:	nombor kabur; pemboleh ubah linguistik; pembuat keputusan multi-kriterium; TOPSIS
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Information and Communication Technology > Department of Computer Science Kulliyyah of Information and Communication Technology > Department of Computer Science
Depositing User:	Prof Dr ABU OSMAN MD TAP
Date Deposited:	14 Nov 2013 09:42
Last Modified:	14 Nov 2013 09:42
URI:	http://irep.iium.edu.my/id/eprint/32741

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