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
Diserahkan: 20 September 2010 / Diterima:
8 Ogos 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 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. 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
RUJUKAN
Barron, F.H. & Barrett, B.E. 1996.
Decision quality using ranked attribute weights. Management Science 429(11): 1515-1523.
Colson, G. & De Bruyn, C. 1989.
Models and methods in multiple objectives decision making. Mathematical
Computer Modeling 12(10/11): 1201-1211.
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.
Mareschal, B. 1988. Weigh stability
intervals in multi criteria decision aid. European Journal of Operational
Research 33: 54-64.
Opricovic, S. & Tzeng, G.H. 2007.
Extended VIKOR method in comparison with outranking methods. European
Journal of Operational Research 178: 514- 529.
Roberts, R. & Goodwin, P. 2002.
Weight approximation in multiattribute decision models. Journal of
Multi-Criteria Decision Analysis 11: 291-303.
Yager, R.R. 1988. On ordered weighted
averaging aggregationoperators in multi-criteriadecision 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.
*Pengarang
untuk surat-menyurat; email: maznah@uum.edu.my
|