A modified tCH-dea MODEL WITH Undesirable Outputs

The evaluation of efficiency in different systems characterized by multiple inputs and outputs has been significantly expanded. Data Envelopment Analysis (DEA), a nonparametric technique that establishes a piecewise linear frontier from observed data. Treatment with undesirable factors is one of the managers’s concern. Especially subject of the environmental modeling with less production of the undesirable outputs is emergency pattern for each society. Besides the Tchebycheff norm turned out to be very useful in generating non-dominated solutions that is a aim of DEA to achieve precise efficiency scores. To achieve this aim, this paper develops a variable-returns-to-scale (VRS) Tchebycheff DEA-based (TCH-DEA) framework for settings with undesirable outputs. Indeed, a new TCH-DEA model is proposed that minimizes the Tchebycheff distance of each DMU to the efficient frontier considering undesirable factors. This content propose a VRS envelopment model built on traditional DEA models and introduces an undesirable-output treatment based on improved TCH-DEA model. The framework provides a practical, interpretable tool for evaluating sustainability transitions when undesirable outputs are appear. Also a ranking model is proposed to complete the issue.

کلیدواژه ها:

Efficiency ، Improved TCH_DEA ، VRS ، Undesirable Outputs ، Environmental AssessmentWeak Disposability