Sains Malaysiana 39(3)(2010):
485–489
Setting
Targets with Interval Data Envelopment Analysis Models via Wang Method
(Menetapkan Sasaran dengan Model
Analisis Pengumpulan Data Selang melalui Kaedah Wang)
Najmeh Malekmohammadi*
Institute for Mathematical Research, Universiti
Putra Malaysia
43400 Serdang, Selangor D.E. Malaysia
Azmi B Jaafar
Faculty of Computer Science and
Information Technology, Universiti Putra Malaysia
43400 Serdang, Selangor D.E., Malaysia
Mansor Monsi
Institute for Mathematical Research, Universiti
Putra Malaysia
43400 Serdang, Selangor D.E., Malaysia
Diserahkan: 27 Februari 2009 / Diterima:
2 Oktober 2009
ABSTRACT
Data envelopment analysis (DEA)
is a mathematical programming for evaluating the relative efficiency of
decision making units (DMUs).
The first DEA model
(CCR model)
assumed for exact data, later some authors introduced the applications of DEA which the data was imprecise. In
imprecise data envelopment analysis (IDEA)
the data can be ordinal, interval and fuzzy. Data envelopment analysis also can
be used for the future programming of organizations and the response of the
different policies, which is related to the target setting and resource
allocation. The existing target model that conveys performance based targets in
line with the policy making scenarios was defined for exact data. In this paper
we improved the model for imprecise data such as fuzzy, ordinal and interval
data. To deal with imprecise data we first established an interval DEA model. We used one of the methods to
convert fuzzy and ordinal data into the interval data. A numerical experiment
is used to illustrate the application to our interval model.
Keywords: Imprecise data; interval data envelopment analysis model; target setting
ABSTRAK
Analisis Pengumpulan Data (DEA)
ialah pengaturcaraan bermatematik bagi menilai kecekapan relatif unit pembuat keputusan
(DMU).
Model DEA pertama
(model CCR)
mengandaikan data tepat, kemudian beberapa pengarang memperkenalkan penggunaan DEA dengan data tepat. Dalam Analisis
Pengumpulan Data tak tepat (IDEA),
data boleh dalam bentuk ordinal, selang dan kabur. Analisis pengumpulan data
juga boleh digunakan bagi perancangan masa depan sesebuah organisasi dan
sebagai maklum balas bagi pelbagai polisi, yang berkait rapat dengan penentuan
sasaran dan pengagihan sumber. Model sasaran tersedia yang mengeluarkan
prestasi berdasarkan sasaran selari dengan situasi membuat polisi yang
ditakrifkan ke atas data tepat. Dalam kertas ini, penambahbaikan model
dilaksanakan bagi data taktepat seperti data kabur, ordinal dan data selang.
Bagi mengendalikan data taktepat ini, pertamanya dibina sebuah model Analisis
Pengumpulan Data Selang. Kami menggunakan salah satu kaedah untuk menukarkan
data kabur dan ordinal data kepada data selang. Satu eksperimen berangka
dijalankan untuk menunjukkan penggunaannya terhadap model data selang yang
dicadangkan kami.
Kata kunci: Data tak tepat; Model Analisis
Pengumpulan Data Selang; penentuan sasaran
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*Pengarang untuk surat-menyurat; email:
n.malekmohammadi@gmail.com