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Data Envelopment Analysis with R pp 1–17Cite as

Introduction to Data Envelopment Analysis and Fuzzy Sets

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Part of the book series: Studies in Fuzziness and Soft Computing ((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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Farhad Hosseinzadeh Lotfi

  2. Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

    Ali Ebrahimnejad

  3. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

    Mohsen Vaez-Ghasemi

  4. Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran

    Zohreh Moghaddas

Authors
  1. Farhad Hosseinzadeh Lotfi
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  2. Ali Ebrahimnejad
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  3. Mohsen Vaez-Ghasemi
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  4. Zohreh Moghaddas
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Correspondence to Ali Ebrahimnejad .

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Hosseinzadeh Lotfi, F., Ebrahimnejad, A., Vaez-Ghasemi, M., Moghaddas, Z. (2020). Introduction to Data Envelopment Analysis and Fuzzy Sets. In: Data Envelopment Analysis with R. Studies in Fuzziness and Soft Computing, vol 386. Springer, Cham. https://doi.org/10.1007/978-3-030-24277-0_1

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