TY - CHAP
T1 - The state of the art in fuzzy data envelopment analysis
AU - Emrouznejad, Ali
AU - Tavana, Madjid
AU - Hatami-Marbini, Adel
PY - 2013/12/17
Y1 - 2013/12/17
N2 - Data envelopment analysis (DEA) is a methodology for measuring the relative efficiencies of a set of decision making units (DMUs) that use multiple inputs to produce multiple outputs. Crisp input and output data are fundamentally indispensable in conventional DEA. However, the observed values of the input and output data in real-world problems are sometimes imprecise or vague. Many researchers have proposed various fuzzy methods for dealing with the imprecise and ambiguous data in DEA. This chapter provides a taxonomy and review of the fuzzy DEA (FDEA) methods. We present a classification scheme with six categories, namely, the tolerance approach, the α-level based approach, the fuzzy ranking approach, the possibility approach, the fuzzy arithmetic, and the fuzzy random/type-2 fuzzy set. We discuss each classification scheme and group the FDEA papers published in the literature over the past 30 years.
AB - Data envelopment analysis (DEA) is a methodology for measuring the relative efficiencies of a set of decision making units (DMUs) that use multiple inputs to produce multiple outputs. Crisp input and output data are fundamentally indispensable in conventional DEA. However, the observed values of the input and output data in real-world problems are sometimes imprecise or vague. Many researchers have proposed various fuzzy methods for dealing with the imprecise and ambiguous data in DEA. This chapter provides a taxonomy and review of the fuzzy DEA (FDEA) methods. We present a classification scheme with six categories, namely, the tolerance approach, the α-level based approach, the fuzzy ranking approach, the possibility approach, the fuzzy arithmetic, and the fuzzy random/type-2 fuzzy set. We discuss each classification scheme and group the FDEA papers published in the literature over the past 30 years.
KW - Data envelopment analysis
KW - Fuzzy arithmetic
KW - Fuzzy random
KW - Fuzzy ranking approach
KW - Fuzzy sets
KW - Possibility approach
KW - Tolerance approach
KW - Type-2 fuzzy set
KW - α-level based approach
UR - http://www.scopus.com/inward/record.url?scp=84958536398&partnerID=8YFLogxK
UR - https://link.springer.com/book/10.1007/978-3-642-41372-8
U2 - 10.1007/978-3-642-41372-8_1
DO - 10.1007/978-3-642-41372-8_1
M3 - Chapter
AN - SCOPUS:84958536398
SN - 9783642413711
SN - 9783662509845
VL - 309 STUDFUZZ
T3 - Studies in Fuzziness and Soft Computing
SP - 1
EP - 45
BT - Performance Measurement with Fuzzy Data Envelopment Analysis
A2 - Emrouznejad, Ali
A2 - Tavana, Madjid
PB - Springer Verlag
ER -