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Introduction to Data Envelopment Analysis and Fuzzy Sets

  • Farhad Hosseinzadeh Lotfi
  • Ali EbrahimnejadEmail author
  • Mohsen Vaez-Ghasemi
  • Zohreh Moghaddas
Chapter
First Online:
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 386)

Abstract

Data Envelopment Analysis (DEA) is a mathematical based programing technique for performance evaluation of a set of Decision Making Units (DMUs). This technique is widely used for assessing different systems with different inputs and outputs in different fields. In this chapter some basic definition of mathematical modeling with DEA technique will be reviewed and introduced. The definitions of efficiency, relative efficiency, effectiveness, and productivity are given. It will be shown how basic DEA models on basis of different Production possibility sets (PPSs) can be formulated. Also, some characteristics of envelopment and multiplier models will be discussed. Finally, the main concepts of fuzzy set theory are introduced.

Keywords

Data envelopment analysis (DEA) Production possibility sets (PPSs) Decision making units (DMUs) Efficiency Effectiveness Productivity Fuzzy sets 
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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Farhad Hosseinzadeh Lotfi
    • 1
  • Ali Ebrahimnejad
    • 2
    Email author
  • Mohsen Vaez-Ghasemi
    • 3
  • Zohreh Moghaddas
    • 4
  1. 1.Department of Mathematics, Science and Research BranchIslamic Azad UniversityTehranIran
  2. 2.Department of Mathematics, Qaemshahr BranchIslamic Azad UniversityQaemshahrIran
  3. 3.Department of Mathematics, Rasht BranchIslamic Azad UniversityRashtIran
  4. 4.Department of Mathematics, Qazvin BranchIslamic Azad UniversityQazvinIran

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