Sains Malaysiana 41(3)(2012): 353–360

Penglibatan Panel Penilai dalam Mengagregat Nilai Subjektif Asas Pangkat

bagi Menyelesaikan Masalah Berbilang Kriteria

(Involvement of Panel of Evaluators in Aggregating Subjective Rank-based

Values to Solve Multi-criteria Problems)

Maznah Mat Kasim*

Pusat Pengajian Sains Kuantitatif, Fakulti Sains dan Teknologi

Universiti Utara Malaysia, 06010 Sintok, Kedah, Malaysia

Abdul Aziz Jemain

Pusat Pengajian Sains Matematik, Fakulti Sains dan Teknologi

Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor D.E.

Malaysia

Received: 20 September 2010 / Accepted: 8 August 2011

ABSTRAK

Masalah berbilang kriteria merupakan satu masalah yang terdiri daripada satu kumpulan unit yang dinilai berasaskan beberapa kriteria tertentu. Keputusan terakhir yang dihajati ialah satu pangkat kedudukan unit yang dianalisis berasaskan prestasi keseluruhan masing-masing. Satu cara untuk mendapatkan prestasi keseluruhan setiap unit ialah dengan menggabungkan prestasi dan wajaran kriteria masing-masing melalui pelbagai kaedah pengagregatan. Kajian tertumpu kepada penerapan tiga kaedah asas pangkat dalam menilai kepentingan kriteria yang melibatkan satu panel penilai. Empat pendekatan pengagregatan berasaskan kaedah pemurataan tertib berpemberat dicadangkan untuk dimanfaatkan agar hasil akhir boleh dicapai. Setiap pendekatan pengagregatan yang dicadangkan diringi dengan contoh pengiraan.

Kata kunci: Masalah multi-kriteria; pengagregatan; wajaran

ABSTRACT

A multi-criteria problem is a problem consists of a group of units to be evaluated under some criteria. The final result aimed is a ranking of the anlyzed units based on their overall performance. One way to obtain the overall performance of each unit is by combining its performances and weights of criteria through various aggregation methods. This research focused on the application of three rank-based methods to evaluate the relative importance of criteria which involved one panel evaluators. Four aggregation approaches were proposed which were based on ordered weighted average method to achieve the final result. Every approach proposed was followed by a numerical example.

Keywords: Aggregation; multi-criteria problem; weights

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*Corresponding author; email: maznah@uum.edu.my