Stability of RTS of Efficient DMUs in DEA with Fuzzy

نویسندگان

  • Adel Hatami-Marbini
  • Saber Saati
  • S. Saati
چکیده

An important property of production functions is the concept return to scale (RTS) as found in the literature. There are two common variations RTS in data envelopment analysis (DEA) used, constant return to scale (CRS) and variation return to scale (VRS). The envelopment surface in BCC model is VRS and this is the result of the presence of the convexity constraint in the dual model and, equivalently, the presence of new separate variable, usually called 0 u , is introduced in the primal model which makes it possible to determine whether operations were led in the areas of constant, increasing and decreasing. In conventional BCC model make an assumption that input-output data and 0 u are exact. While accurate measurement in many real applications due to either non-availability of sophisticated measurement tools or qualitative nature of the phenomena may not be possible, consequently, this information can be represented as fuzzy numbers or linguistic terms. In this paper the RTS of efficient decision making units (DMUs) are investigated in BCC model where fuzziness is considered in both inputs and outputs and 0 u variable. The proposed models provide the stability of fuzzy 0 u as interval region, consequently analyst can easily examine the sensitivity of RTS of efficient DMUs. Using α -cut, an alternative approach is suggested to solve the obtained model. To illustrate the proposed method, a numerical example is solved. Mathematics Subject Classification: 90C70

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Estimating Returns to Scale in the Presence of Undesirable Factors in Data Envelopment Analysis

This research identifies returns to scale (RTS) of efficient decision making units (DMUs) with desirable (good) and undesirable (bad) inputs and outputs by presenting a new DEA (data envelopment analysis) approach. In this study, we first introduce a new input-output oriented model to determine efficient DMUs in the presence of undesirable factors and then, returns to scale of these DMUs are es...

متن کامل

Sensitivity Analysis and Finding the Stability Region with Adding DMUs in DEA

One of the important issues in data envelopment analysis (DEA) is sensitivity analysis. Heretofore the existent studies have considered the data modification of inputs and outputs in one or multiple DMUs. In this paper the number of DMUs is increased and a stability region is obtained in  by applying defining hyperplanes in which if the added DMU (only one DMU) is in this region then all of the...

متن کامل

Finding a Common Set of Weights by the Fuzzy Entropy Compared with Data Envelopment Analysis - A Case Study

  A data envelopment analysis (DEA) method can be regarded as a useful management tool to evaluate decision making units (DMUs) using multiple inputs and outputs. In some cases, we face with imprecise inputs and outputs, such as fuzzy or interval data, so the efficiency of DMUs will not be exact. Most researchers have been interested in getting efficiency and ranking DMUs recently. Models of th...

متن کامل

Determining Left and right Returns to Scale (RTS) and RTS sustainability by using linear programming problems based on simultaneous changes in inputs and outputs

Determining the type of returns to scale (RTS) and identifying stability region for RTS of evaluating unit are appropriate abilities for forecasting the future the unit when its size is changed. This paper aims to introduce RTS sustainability of frontier decision making units (DMUs) in data envelopment analysis (DEA). Based on the importance of RTS in relation to decisions of managers, differen...

متن کامل

Stability of the Classifications of Returns to Scale in Data Envelopment Analysis: A Case Study of the Set of Public Postal Operators

A significant theme in data envelopment analysis (DEA) is the stability of returns to scale (RTS) classification of specific decision making unit (DMU) which is under observed production possibility set. In this study the observed DMUs are public postal operators (PPOs) in European Union member states and Serbia as a candidate country. We demonstrated a sensitivity analysis of the inefficient P...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009