Modeling uncertainty in weight restriction data envelopment analysis using fuzzy sets.

• Autorzy: Kuchta D. , Triantis K.

Warianty tytułu

PL

Modelowanie niepewności w modelach analizy efektywności jednostek z ograniczonymi wagami z zastosowaniem zbiorów rozmytych.

• Konferencja: Metody i narzędzia finansowej oceny przedsiębiorstwa i zarządzania. Wrocław 2007
• Języki publikacji: EN

Abstrakty

EN

The weight restriction DEA models impose upper and lower bounds on the input/output weights or on the ratios of these weights. Many of these models suffer from the limitation that the weight bound values can be imprecise and subjective. We propose a fuzzy set theoretic approach to account for this imprecision and subjectivity. This involves replacing the bound values by fuzzy numbers that capture the intuitive concept of approximate numbers. Based on this notion, the crisp weight restriction DEA models become fuzzy weight restriction DEA formulations that are unsymmetrical in nature since their objective function is crisp and their constraints are fuzzy. Among the numerous types of weight restriction DEA models, we focus on one of the more commonly used models, i.e., the Assurance Region (AR) model. We show that the fuzzy version of the model can be reformulated in the form of a classical linear programming problem, which can be solved by means of classical methods.

PL

Zaproponowano sposób modelowania niepewności w modelach, które są stosowane do analizy efektywności jednostek i w których wagi nałożone na poszczególne wejścia i wyjścia są nieprecyzyjne. Wagi te zostały wyrażone jako liczby rozmyte. Pokazano, że model z wagami rozmytymi może być sprowadzony do klasycznego zadania programowania liniowego. Dzięki temu jednostki mogą być poddane ocenie i odpowiednie decyzje mogą być podjęte również w przypadku, kiedy waga poszczególnych wejść i wyjść nie jest jednoznacznie określona, bo np. nie ma co do niej consensusu lub zależy ona od warunków rynkowych.

Słowa kluczowe

EN

data envelopment analysis; efficiency analysis

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Prace Naukowe Instytutu Organizacji i Zarządzania Politechniki Wrocławskiej. Studia i Materiały
• Rocznik: 2007
• Tom: Vol. 82, nr 24
• Strony: 19--28
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Kuchta D.

autor

Triantis K.

• Institute of Industrial Engineering and Management, Wroclaw University of Technology, ul. Smoluchowskiego 25, 50-370 Wroclaw, Poland.

Bibliografia

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• [18] ZHU J., DEA/AR Analysis of the 1988-1989 Performance of the Nanjing Textiles Corporation, Annals of Operations Research, Vol. 66, 1996, pp. 311-335.