EFFICIENCY DETERMINATION OF THE FOREST SUB-DISTRICTS BY USING FUZZY DATA ENVELOPMENT ANALYSIS (CASE STUDY: İZMİR FOREST REGIONAL DIRECTORATE)

İsmail Şafak, Altay Uğur Gül, Mehmet Emin Akkaş, S. Ümit Portakal, Mustafa Gediklili, Ş. Mümtaz Kanat
1.138 406

Abstract


In this research, efficiency covering the years 2007-2009 of the forest sub-districts in the Izmir Forest Regional Directorate was evaluated using 15 variables by fuzzy data envelopment analysis. Fuzzy DEA solutions were carried out using the data range. Fuzzy data was established by defining the lower, central and upper limits on the basis of the triangular membership function. These data are converted into interval data considering the approach of Zimmermann (1991) α cutting set. Thus, the upper and lower limits of efficiency values were obtained at five different α (0; 0.25; 0.50; 0.75 and 1.00) using fuzzy data envelopment analysis. Then inefficient forest sub-districts were listed from best to worst using the Minimax Regret-Based Approach. As a conclusion, Göçbeyli, Sarıgöl, Kınık, YeniŞakran and Kemalpaşa forest sub-districts have the best efficiency. On the other hand, Salihli, Gördes, Akhisar, Manisa, Ödemiş and Tire forest sub-districts have the worst efficiency.

Keywords: Forest sub-districts, Efficiency, Fuzzy Data Envelopment Analysis, İzmir.


Keywords


Forest sub-districts, Efficiency, Fuzzy Data Envelopment Analysis, Izmir

Full Text:

PDF

References


Ahn, TS. (1987). Efficiency Related Issues in Higher Education: A Data Envelopment Analysis Approach, Ph.D. Thesis, The University of Texas at Austin.

Alım, E. (2004). Veri Zarflama Analizi ve Orman Yönetiminde Bir Uygulama. Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Ankara.

Altunel (Açıkgöz), T. (2003). Orman İşletmelerinin Etkinliklerine İlişkin Finansal Çözümlemeler. İstanbul Üniversitesi, Fen Bilimler Enstitüsü, Ormancılık Ekonomisi Anabilim Dalı, Yüksek Lisans Tezi.

Aydemir, Z., C. (2002). Bölgesel Rekabet Edilebilirlik Kapsamında İllerin Kaynak Kullanım Görece Verimlilikleri: Veri Zarflama Analizi Uygulaması. Uzmanlık Tezi, DPT Yayın No: 2664, Ankara.

Bakırcı, F. (2006). Üretimde Etkinlik ve Verimlilik Ölçümü Veri Zarflama Analizi Teori ve Uygulama. Atlas Yayınları, Ankara.

Balteiro, L., D., Herruzo, A., C., Martinez, M., Gonza´lezPacho´n, J. (2006). An analysis of productive efficiency and innovation activity using DEA: An application to Spain’s wood-based industry. Journal of Forest Policy and Economics, 8: 762– 773.

Başar, M., Tosunoğlu, Ş., Kılıçarslan, M. (2009). Türkiye’de Orman Döner Sermaye İşletmelerinin Etkinlik Analizi: Sorunlar, Çözümler ve Politika Önerileri. Tübitak Araştırma Projesi, Proje No: 107K552.

Baykan, N., Beyan, T. (2004). Bulanık Mantık İlke ve Temelleri. Bıçakçılar Kitabevi Yayın No: 9, Matematik Dizisi No: 1, Ankara.

Candemir, M., Deliktaş, E. (2005). Türkiye Devlet Tarım İşletmelerinde Üretim Etkinliği ve Toplam Faktör Verimliliği Analizi. GAP IV. Tarım Kongresi, 21–23

Eylül 2005, Harran Üniversitesi Ziraat Fakültesi, Şanlıurfa, s: 395–404.

Charnes, A., Cooper, W., W., Rhodes, E. (1978). Measuring the efficiency of decision making unit. European Journal of Operational Research 2: 429-444.

Çağlar, Y. (1988). Verimlilik ve orman işletmelerinde verimlilik düzeyinin ölçümü. İstanbul Üniversitesi Orman Fakültesi Dergisi, 38(2): 107–119.

Çağlar, Y.,Öncer, M. (1990). Devlet Orman İşletmelerinde Başarı Düzeylerinin Belirlenmesi. Milli Prodüktivite Merkezi Yayınları No: 420, Ankara.

Daşdemir, İ. (1996). Orman İşletmelerinin Başarı Düzeylerinin Belirlenmesi (Kuzeydoğu Anadolu ve Doğu Karadeniz Bölgesi Örneği). Doğu Anadolu Ormancılık Araştırma Müdürlüğü Teknik Bülten No: 1, Erzurum.

Daşdemir, İ. (2002). Sürdürülebilir Ormancılık İçin Çok Boyutlu Başarı ölçüm Modeli. Artvin Orman Fakültesi, II. Ulusal Karadeniz Ormancılık Kongresi, Cilt No: 1, Artvin, s: 189–198.

Despotis, D., K., Smirlis, Y., G. (2002). Data envelopment analysis with imprecise data. European Journal of Operational Research, 140: 24–36.

Entani, T., Maeda, Y., Tanaka, H. (2002). Dual models of interval DEA and its extension to interval data. European Journal of Operational Research, 136: 32-45.

Eraslan, İ. (1982). Orman Amenajmanı. İ.Ü. Orman Fakültesi Yayın No: 318, İstanbul.

Farrell, M., J. (1957). The measurement of productive efficiency, Journal of the Royal Statistical Society, 120: 2532

Geray, A., U. (1982). Ormancılıkta Planlamanın Hazırlık Aşamasında Çok Boyutlu Analizler (Akdeniz Bölgesi Örneği). İstanbul Üniversitesi Yayın No: 2910, Orman Fakültesi Yayın No: 315, İstanbul.

Guo, P., Tanaka H. (2001). Fuzzy DEA: A perceptual evaluation method. Fuzzy Sets and Systems, 119: 149– 1

Güneş, T. (2006). Bulanık Veri Zarflama Analizi. Ankara Üniversitesi, Fen Bilimleri Enstitüsü, İstatistik Anabilim Dalı, Yüksek Lisans Tezi, Ankara.

Haghighat, MS, Khorram, E. (2005). The maximum and minimum number of efficient units in DEA with interval data. Applied Mathematics and Computation 163: 919–930.

Hof, J., Flather, C., Baltic, T., King. R., (2004). Forest and rangeland ecosystem condition indicators: Identifying national areas of opportunity using data envelopment analysis. Forest Science, 50(4): 473–494.

Joro, T., Viitala, E., J. (1999). The Efficiency of Public Forestry Organizations: A Comparison of Different Weight Restriction Approaches. International Institute for Applied Systems Analysis (IIASA), Interim Report, Austria, 19p.

Kao, C. (2009). Efficiency measurement for parallel production systems. European Journal of Operational Research 196: 1107–1112.

Kao, C. (2000). Data Envelopment Analysis in Resource Allocation: An Application to Forest Management. International Journal of Systems Science 31(9): 1059– 10

Kao, C., Liu, S.T. (2007). Data Envelopment Analysis With Missing Data:A Reliable Solution Method. Modeling Data Irregularities and Structural Complexities In Data Envelopment Analysis (Chapter 16), Zhu, J., Cook, W.D. (Eds.), Springer US, p:291-304.

Kao, C., Liu, S.T. (2000). Fuzzy efficiency measures in data envelopment analysis. Fuzzy Sets and Systems 113: 4274

Kao, C. (1998). Measuring the efficiency of forest districts with multiple working circles. Journal of the Operational Research Society, 49: 583–590.

Kao, C., Yang Y. (1991). Measuring the Efficiency of Forest Management. Forest Science, 37(5): 1239–1252.

Khoshfetrat, S. Daneshvar, S. (2011). Improving weak efficiency frontiers in the fuzzy data envelopment analysis models. Applied Mathematical Modeling, 35: 339–345.

Korkmaz, M. (2011a). Productivity changes of forest enterprises in Turkey: A non-parametric Malmquist approach. African Journal of Agricultural Research, 6(28): 6189-6196.

Korkmaz M. (2011b). Measuring the productive efficiency of forest enterprises in Mediterranean Region of Turkey using data envelopment analysis. African Journal of Agricultural Research, Vol. 6(19): 4522-4532.

Kök, R. (1991). Endüstriyel Verimlilik ve Etkinlik. Atatürk Üniversitesi Yayın No: 680, İİBF Yayın No:90, Araştırma Serisi No:81, Erzurum.

Lebel, L., G., Stuart W., B. (1998). Technical efficiency evaluation of logging contractors using a nonparametric model. Journal of Forest Engineering, 9(2): 15–

Lertworasirikul, S. (2001). Fuzzy Data Envelopment Analysis for Supply Chain Modelling and Analysis, Dissertation Proposal in Industrial Engineering. North Carolina State University. 19 Tsaur, H.S., Chiang, C.I., Chang Te-Yi. (1999). Evaluating the operating efficiency of international tourist hotels using the modified DEA model. Asia Pacific Journal of Tourism Research, 4(2): 73-78.

Ulucan, A. (2000). Şirket performanslarının ölçülmesinde veri zarflama analizi yaklaşımı: Genel ve sektörel bazda değerlendirmeler. Hacettepe Üniversitesi, İİBF Dergisi, 18: 405-4

Viitala, E.,J., Hänninen, H. (1998). Measuring the efficiency of public forestry organizations. Forest Science, 44(2): 298–307.

Wang, Y.M., Greatbanks, R., Bo Yang, J. (2005). Interval efficiency assessment using data envelopment analysis. Fuzzy Sets and Systems, 153: 347-370.

Wen, M. Li, H. (2009). Fuzzy data envelopment analysis (DEA): Model and ranking method. Journal of Computational and Applied Mathematics 223: 872–878.

Zadeh, L., A. (1965). Fuzzy sets. Journal of Information and Control, 8: 338-353.

Zhang, Y. (2002). The Impacts of economic reform on the efficiency of silviculture: A non–parametric approach. Environment and Development Economics, 7: 107–122.

Zimmermann, H.J. (1991). Fuzzy Set Theory and Its Applications. Kluwer Academic Publishers, Boston. Submitted: 03.12.2012 Accepted: 18.02.2013





 

All Journals editorial@eurasscience.com

 

ISSN: 2147-7493