Sains Malaysiana
38(3): 321-331(2009)
Pemilihan
Sistem Pelupusan Sisa Pepejal Perbandaran
Menggunakan
Model Dwikabur Konflik
(Selecting Municipal Solid Waste Disposal System
Using a Conflicting Bifuzzy Model)
Zamali Tarmudi*
Universiti Teknologi MARA (Cawangan Sabah)
Beg Berkunci 71, 88997 Kota Kinabalu, Sabah, Malaysia
Mohd Lazim Abdullah
Jabatan Matematik, Fakulti Sains dan Teknologi
Universiti Malaysia Terengganu, 21030 Kuala
Terengganu,
Terengganu, Malaysia
Abu Osman Md. Tap
Jabatan Sistem Maklumat, Kulliyah Teknologi Komunikasi
dan Maklumat,
Peti Surat 50728, Kuala Lumpur, Malaysia
Received: 1 July 2008 / Accepted: 25 August 2008
ABSTRAK
Kajian ini memfokuskan penggunaan model kabur baru untuk pemilihan
sistem pelupusan sisa pepejal perbandaran (SPP) yang dewasa ini dilihat semakin
menghambat terutamanya negeri-negeri di bahagian tengah Semenanjung Malaysia.
Rekod menunjukkan negeri Selangor dan Wilayah Persekutuan Kuala Lumpur (WPKL)
mencatatkan penghasilan SPP tertinggi melebihi 2.32 juta tan setahun pada tahun
2005. Lazimnya, proses untuk menentukan sistem pelupusan yang sesuai
melibatkan pengenalpastian matlamat dan kriteria berdasarkan pilihan yang ada. Ia juga bersifat pertimbangan multi-kriteria yang
melibatkan banyak pihak berkepentingan dalam membuat keputusan. Berdasarkan
permasalahan tersebut, model multi-kriteria dwikabur konflik diusulkan
menggunakan konsep penegasan linguistik (i.i., dilasi dan konsentrasi)
dalam proses hierarki analitik (AHP). Model ini diubahsuai menggunakan teori
set baru yang diberi nama ‘set dwikabur konflik’. Kajian kes di negeri Selangor dan WPKL dimanfaatkan
sepenuhnya untuk menunjukkan kesesuaian model yang diusulkan. Berdasarkan
pengiraan yang ditunjukkan, model yang diusulkan dapat menilai kesemua kriteria
secara lebih menyeluruh disebabkan sifat ‘timbal balas’ yang dimilikinya. Di samping
itu, ia mampu menangani masalah yang bersifat berketaktentuan secara berkesan
disebabkan pembuat keputusan boleh menilai secara linguistik sepenuhnya
sekaligus memudahkan mereka membuat keputusan dengan lebih cekap dan berkesan.
Kata kunci: Model dwikabur konflik; pembuat keputusan
multi-kriteria; sisa pepejal perbandaran
ABSTRACT
This
research focuses on the application of a new fuzzy model for selecting
municipal solid waste (MSW) disposal systems which recently has been big
burden, particularly in central Peninsular Malaysia. The state of Selangor and Kuala
Lumpur Federal Territoring (KLFT) for instance, recorded the highest MSW
generation which estimated more than 2.32 million tonnes per year in 2005. Generally,
the process to identify the most suitable disposal system involves various
criteria and the options. It also involves the multi-criteria consideration
from multiple stakeholders in decision process. In view of this problem, the
conflicting bifuzzy multi-criteria model was proposed in an analytic hierarchy
process (AHP) method using linguistic hedges concepts (i.e., dilation and
concentration). This approach was adopted by using the new set theory, namely
‘conflicting bifuzzy set’. A case study in the state of Selangor and KLFT was
utilised to demonstrate the applicable of the proposed model. Based on the
calculations, the model offers a comprehensive evaluation in order to have on equilibrium
characteristics in every single evaluation processes. Besides that, it also
deals efficiently with the uncertainty in initial information through fully
linguistic approach thus can assist the decision makers to make a better
decision in an effective manner.
Keywords: Conflicting bifuzzy
model; multi-criteria decision making; municipal solid waste
RUJUKAN
Abu Osman, M. T. 2006. Penilaian dwikabur konflik. Kertas
kerja dibentangkan di Simposium Sains Komputer dan Matematik (CSMS’06).
Kolej Universiti Sains dan Teknologi Malaysia (KUSTEM), (8-9Nov.)
Atanassov, K.T. 1986. Intuitionistic fuzzy sets, Fuzzy
Sets and Systems 110: 87-96.
Cox, E. 1994. The Fuzzy System Handbook. New
York: Academic Press.
EPSM. 1979. Rubbish: A Report of the Solid Waste Study
of the Klang Valley. Petaling Jaya: Environmental Protection Society Malaysia.
Finnveden, G., Bjorklund, A., Reich, M. C., Eriksson,
O. & Sorbom, A. 2007. Flexible and robust strategies for waste management
in Sweden. Waste Management 27: S1-S8.
Hung, M-L., Ma, H-W. & Yang, W-F. 2007. A novel
sustainable decision making model for municipal solid waste management. Waste
Management 27: 209 – 219.
Jabatan Alam Sekitar. 2004. Laporan Tahunan 2004,
Kementerian Sumber Asli dan Alam Sekitar, Malaysia.
Jabatan Alam Sekitar. 2005. Laporan Tahunan 2005,
Kementerian Sumber Asli dan Alam Sekitar, Malaysia.
Kaufmann A. & Gupta, M.M. 1991. Introduction
to Fuzzy Arithmetic and Applications. New York: Van Nostrand Rienhold.
Kerajaan Malaysia 2006. Ninth Malaysia Planning (2006-2010), Putra Jaya, Malaysia.
Klang, A., Vikman, P-A., & Brattebo, H. 2003.
Sustainable management of demolition waste – an integrated model for the
evaluation of environmental, economic and social aspects. Resource,
Conservation & Recycling 38: 317-334.
Lokman, M. H. & Othman, F. H. 1992. Collection and
disposal problems of solid waste in major cities of developing countries: A
case of Malaysia, Journal of Resource Management and Technology 20: 105-112.
MHLG. 2002. Ministry of Housing and Local
Government Annual Report 2002. Kuala Lumpur.
Morrissey, A. J. & Browne, J. 2004. Waste
management models and their application to sustainable waste management. Waste
Management 24: 297-308.
Reige, A.M. 2003. Validity and reliability tests in
case study research: A literature review with “hands-on” applications for each
research phase. Qualitative Market Research: An International Journal 6(2): 75-86.
Saaty, T.L. 1980. The analytic hierarchy process.
New York, NY: McGraw-Hill.
Siddiqui, M. Z., Everett, J. W. & Vieux, B.E.
1996. Landfill siting using geographic
information systems: A demonstartion. Journal of Environmental Engineering 122: 515-523.
Su, J. P., Chiueh, P. T., Hung, M. L., & Ma, H.W.
2007. Analyzing policy impact potential
for municipal solid waste management decision-making: A case study of Taiwan. Resources, Conservation and Recycling 51: 418-434.
Wang, L. X. 1997. A Course in Fuzzy Systems and Control.
USA: Prentice - Hall International, Inc.
World Bank 1999. “What a Waste – Solid Waste Management
in Asia”, Urban and local government working papers, The International Bank
for Reconstruction and Development/THE WORLD BANK, 1818 H. Street, N. W.
Washington, D.C.
Zadeh, L. 1965. Fuzzy sets. Information and Control 3(8): 338-353.
Zadeh, L. A. 1975. The concept of a linguistic
variable and its application to approximate reasoning I, II, III, Information
Sciences 8: 199-251, 301-357; 9: 43-80.
Zamali T. & Abu Osman M. T. 2004. Pendekatan set
kabur sebagai medium pemutusan. Prosiding Seminar Kebangsaan Sains Pemutusan (17-19 Dis.), Pulau Pinang, 117-123.
Zamali, T., Lazim, M. A. & Abu Osman, M. T. 2008a. A conflicting bifuzzy linguistic approach
in fuzzy multi-criteria group decision making. Kertas kerja dibentangkan
dalam 4th IMT-GT International Conference on Mathematics, Statistics
and Applications (ICMSA’08), Dianjurkan oleh Jurusan Matematik FMIPA
UNSYIAH, Hermes Palace Hotel, Banda Aceh, Indonesia (9-11 June).
Zamali, T., Lazim, M. A. & Abu Osman, M. T. 2008b. An introduction of conflicting bifuzzy
sets theory. International Journal of Mathematics and Statistics 3(8):
86-95.
Zimmermann, H. J. 1991. Fuzzy Set Theory and Its Applications. 2nd ed. Boston: Kluwer Academic Publishers, Boston.
Zimmermann, H. J. 1994. Fuzzy Set Theory and Its Applications.
Boston: Kluwer Academic Publishers.
*Corresponding author; email: zamaliaya@hotmail.com
|