Sains Malaysiana 42(5)(2013): 667–672

Penglibatan Panel Penilai dengan Kewibawaan Berbeza dalam

Mengagregat Nilai Subjektif Asas Pangkat

(Involvement of Panel of Evaluators with Different Credibility in Aggregating Subjective Rank-based Values)

Maznah Mat Kasim*

Pusat Pengajian Sains Kuantitatif, Kolej Sastera dan Sains UUM

06010, UUM Sintok, Kedah, Malaysia

Abdul Aziz Jemain

Pusat Pengajian Sains Matematik, Fakulti Sains dan Teknologi

Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia

Received: 3 April 2012/Accepted: 17 September 2012

ABSTRAK

Keputusan terakhir yang dicari dalam menyelesaikan masalah berbilang kriteria ialah satu pangkat kedudukan unit yang dianalisis berdasarkan prestasi keseluruhan unit-unit tersebut. Satu cara untuk mendapatkan prestasi keseluruhan setiap unit adalah 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 dengan kewibawaan berbeza. Hanya dua pendekatan pengagregatan berasaskan kaedah pemurataan tertib berpemberat sesuai diutarakan agar hasil akhir boleh dicapai. Setiap pendekatan pengagregatan yang dicadangkan diringi dengan contoh pengiraan.

Kata kunci: Kewibawaan; masalah berbilang kriteria; pangkat; pengagregatan; wajaran

ABSTRACT

The final goal in solving multi-criteria problems is a ranking of the analyzed 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 with different credibilitity. There are only two suitable aggregation approaches based on ordered weighted average method are proposed in order to achieve the final result. Every approach proposed is followed by a numerical example.

Keywords: Aggregation; credibility; multi-criteria problem; rank; weights

REFERENCES

Barron, F.H. & Barrett, B.E. 1996. Decision quality using ranked attribute weights. Management Science 429(11): 1515-1523.

Filev, D. & Yager, R.R. 1998. On the issue of obtaining OWA operator weights. Fuzzy Sets and Systems 94: 157-169.

Ma, J., Fan, Z. & Huang, L. 1999. A subjective and objective integrated approach to determine attribute weights. European Journal of Operational Research 112: 397-404.

Maznah Mat Kasim & Abdul Aziz Jemain. 2012. Penglibatan panel penilai dalam mengagregat nilai subjektif asas pangkat dalam menyelesaikan masalah berbilang kriteria. Sains Malaysiana41(3): 353-360.

Opricovic, S. & Tzeng, G.H. 2004. Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research 156(2): 445- 455.

Roberts, R. & Goodwin, P. 2002. Weight approximation in multi-attribute decision models. Journal of Multi-criteria Decision Analysis 11: 291-303.

Yager, R.R. 1988. On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Transactions on Systems, Man and Cybernetics 8: 183-190.

Yager, R.R. 1996. Quantifiers guided aggregation under OWA operators. International Journal of Intelligence Systems 11: 49-73.

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