modelfuzzy_possibilistic function

Possibilistic Fuzzy DEA model.

Solve the possibilistic fuzzy DEA model proposed by León et. al (2003).

modelfuzzy_possibilistic(datadea,
                         dmu_eval = NULL,
                         poss_modelname = c("basic"),
                         h = 1,
                         ...)

Arguments

• datadea: A deadata_fuzzy object, including DMUs, inputs and outputs.
• dmu_eval: A numeric vector containing which DMUs have to be evaluated. If NULL (default), all DMUs are considered.
• poss_modelname: a string containing the name of the model.
• h: A numeric vector with the h-levels (in [0,1]).
• ...: dmu_ref, orientation, rts and other model parameters.

Returns

An object of class deadata_fuzzy.

Examples

# Replication of results in Leon et. al (2003, p. 416)
data("Leon2003")
data_example <- make_deadata_fuzzy(Leon2003,
                                   inputs.mL = 2, 
                                   inputs.dL = 3, 
                                   outputs.mL = 4, 
                                   outputs.dL = 5)
result <- modelfuzzy_possibilistic(data_example, 
                                   h = seq(0, 1, by = 0.1), 
                                   orientation = "io", 
                                   rts = "vrs")
efficiencies(result)

References

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. tools:::Rd_expr_doi("10.1007/978-3-642-41372-8_1")

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. tools:::Rd_expr_doi("10.1016/j.ejor.2011.02.001")

Leon, T.; Liern, V. Ruiz, J.; Sirvent, I. (2003). "A Possibilistic Programming Approach to the Assessment of Efficiency with DEA Models", Fuzzy Sets and Systems, 139, 407–419. tools:::Rd_expr_doi("10.1016/S0165-0114(02)00608-5")

See Also

model_basic, modelfuzzy_kaoliu, modelfuzzy_guotanaka

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)