modelfuzzy_kaoliu {deaR} | R Documentation |
Fuzzy DEA model.
Description
Solve the fuzzy DEA model by Kao and Liu (2000)
Usage
modelfuzzy_kaoliu(datadea,
dmu_eval = NULL,
kaoliu_modelname = c("basic", "additive", "addsupereff",
"deaps", "fdh", "multiplier", "nonradial", "profit",
"rdm", "sbmeff", "sbmsupereff", "supereff"),
alpha = 1,
...)
Arguments
datadea |
A |
dmu_eval |
A numeric vector containing which DMUs have to be evaluated.
If |
kaoliu_modelname |
a string containing the name of the model. |
alpha |
A numeric vector with the alpha-cuts (in [0,1]). If |
... |
|
Value
An object of class deadata_fuzzy
.
Author(s)
Vicente Coll-Serrano (vicente.coll@uv.es). Quantitative Methods for Measuring Culture (MC2). Applied Economics.
Vicente Bolós (vicente.bolos@uv.es). Department of Business Mathematics
Rafael Benítez (rafael.suarez@uv.es). Department of Business Mathematics
University of Valencia (Spain)
References
Boscá, J.E.; Liern, V.; Sala, R.; Martínez, A. (2011). "Ranking Decision Making Units by Means of Soft Computing DEA Models". International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 19(1), p.115-134.
Emrouznejad, A.; Tavana, M.; Hatami-Marbini, A. (2014). “The State of the Art in Fuzzy Data Envelopment Analysis”, in A. Emrouznejad and M. Tavana (eds.), Performance Measurement with Fuzzy Data Envelopment Analysis. Studies in Fuzziness and Soft Computing 309. Springer, Berlin.
Hatami-Marbini, A.; Emrouznejad, A.; Tavana, M. (2011). "A Taxonomy and Review of the Fuzzy Data Envelopment Analysis Literature: Two Decades in the Making", European Journal of Operational Research, 214, 457–472.
Kao, C.; Liu, S.T. (2000). “Fuzzy efficiency measures in data envelopment analysis, Fuzzy Sets and Systems”, 119, 149–160.
Kao, C., Liu, S.T., (2000). “Data envelopment analysis with missing data: An application to university libraries in Taiwan”, Journal of the Operational Research Society, 51, 897–905.
Kao, C., Liu, S.T. (2003). “A mathematical programming approach to fuzzy efficiency ranking”, International Journal of Production Economics, 85.
See Also
model_basic
, model_multiplier
,
modelfuzzy_possibilistic
, modelfuzzy_guotanaka
Examples
# Example 1.
# Replication of results in Boscá, Liern, Sala and Martínez (2011, p.125)
data("Leon2003")
data_example <- make_deadata_fuzzy(datadea = Leon2003,
inputs.mL = 2,
inputs.dL = 3,
outputs.mL = 4,
outputs.dL = 5)
result <- modelfuzzy_kaoliu(data_example,
kaoliu_modelname = "basic",
alpha = seq(0, 1, by = 0.1),
orientation = "io",
rts = "vrs")
efficiencies(result)
# Example 2.
# Replication of results in Kao and Liu (2003, p.152)
data("Kao_Liu_2003")
data_example <- make_deadata_fuzzy(Kao_Liu_2003,
inputs.mL = 2,
outputs.mL = 3:7,
outputs.dL = c(NA, NA, 8, NA, 10),
outputs.dR = c(NA, NA, 9, NA, 11))
result <- modelfuzzy_kaoliu(data_example,
kaoliu_modelname = "basic",
orientation = "oo",
rts = "vrs",
alpha = 0)
sol <- efficiencies(result)
eff <- data.frame(1 / sol$Worst, 1 / sol$Best)
names(eff) <- c("eff_lower", "eff_upper")
eff