Sains Malaysiana 41(3)(2012): 361–366

Group Decision via Usage of Analytic Hierarchy Process and Preference

Aggregation Method

(Keputusan Berkumpulan Menggunakan Proses Hierarki Analisis

dan Kaedah Pengagregatan Keutamaan)

Langroudi Majid Zerafat Angiz, Adli Mustafa*, Noraida Abdul Ghani & Anton Abdulbasah Kamil

Institut Sains Matematik, Fakulti Sains, Universiti Malaya, 50603 Kuala Lumpur, Malaysia

Diserahkan: 18 Mei 2011 / Diterima: 19 September 2011

ABSTRACT

The Analytic Hierarchy Process (AHP) is a recognised modern approach to solve decision making problems. Initially introduced by Saaty in 1971 as a tool for handling individual decision making situation, the method has since been extended to incorporate groups. In this paper, a new method for AHP group decision making is proposed. The method integrates AHP with a Data Envelopment Analysis (DEA)-based preferential aggregation method. It manipulates the preferential weights and ranking aspect of each decision maker in coming up with an optimisation model that determines the best efficiency score of each alternatives. These efficiency scores are then used to rank the alternatives and determine the group decision weights. A comparative analysis of the method with another AHP group decision making method indicates a similar ‘satisfactory index’ level.

Keywords: Analytic hierarchy process; data envelopment analysis; group decision making; preference aggregation

ABSTRAK

Proses Hierarki Analisis (PHA) adalah kaedah moden yang digunakan untuk penyelesaian masalah pembuatan keputusan. Ia diperkenalkan oleh Saaty pada tahun 1971 sebagai alat untuk mengendali situasi membuat keputusan individu. Kaedah itu telahpun dikembangkan untuk mengendalikan situasi membuat keputusan berkumpulan. Dalam kertas ini, satu kaedah baru pembuatan keputusan berkumpulan PHA dicadangkan. Kaedah ini menggabungkan PHA dengan kaedah pengagregatan keutamaan yang berasaskan kepada Analisis Penyampulan Data (APD). Ia menggunakan pemberat keutamaan dan aspek taraf kedudukan setiap pembuat keputusan dalam menghasilkan suatu model pengoptimuman untuk menentukan skor kecekapan terbaik setiap alternatif. Skor kecekapan ini kemudiannya digunakan untuk menaraf kedudukan setiap alternatif dan menentukan pemberat keputusan kumpulan. Satu analisis perbandingan di antara kaedah yang dicadangkan dengan satu kaedah pembuatan keputusan berkumpulan PHA yang lain menghasilkan tahap ’indeks kepuasan’ yang setara.

Kata kunci: Analisis penyampulan data; membuat keputusan berkumpulan; pengagregatan keutamaan; proses hierarki Analisis

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*Pengarang untuk surat-menyurat; email: suzlin@um.edu.my