Dual-role factors for imprecise data envelopment analysis

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F18%3A10235881" target="_blank" >RIV/61989100:27510/18:10235881 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.omega.2017.05.005" target="_blank" >http://dx.doi.org/10.1016/j.omega.2017.05.005</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.omega.2017.05.005" target="_blank" >10.1016/j.omega.2017.05.005</a>

Result language

angličtina

Original language name

Dual-role factors for imprecise data envelopment analysis

Original language description

Efficiency analyses are crucial to managerial competency for evaluating the degree to which resources are consumed in the production process of gaining desired services or products. Among the vast available lit- erature on performance analysis, Data Envelopment Analysis (DEA) has become a popular and practical approach for assessing the relative efficiency of Decision-Making Units (DMUs) which employ multiple inputs to produce multiple outputs. However, in addition to inputs and outputs, some situations might include certain factors to simultaneously play the role of both inputs and outputs. Contrary to conven- tional DEA models which account for precise values for inputs, outputs and dual-role factors, we develop a methodology for quantitatively handling imprecision and uncertainty where a degree of imprecision is not trivial to be ignored in efficiency analysis. In this regard, we first construct a pair of interval DEA models based on the pessimistic and optimistic standpoints to measure the interval efficiencies where some or all observed inputs, outputs and dual-role factors are assumed to be characterized by inter- val measures. The optimal multipliers associated with the dual-role factors are then used to determine whether a factor is designated as an output, an input, or is in equilibrium even though the status of the dual-role factors may not be unique based upon the pessimistic and optimistic standpoints. To deal with the problem, we present a new model which integrates both pessimistic and optimistic models. The integrated model enables us to identify a unique status of each imprecise dual-role factor as well as to develop a structure for calculating an optimal reallocation model of each dual-role factor among the DMUs. As another method to investigate the role for dual-role factors, we introduce a fuzzy decision- making model which evaluates all DMUs simultaneously. We finally present an application to a data set of 20 banks to showcase the applicability and efficacy of the proposed procedures and algorithm.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Omega

ISSN

0305-0483

e-ISSN

—

Volume of the periodical

77

Issue of the periodical within the volume

June

Country of publishing house

GB - UNITED KINGDOM

Number of pages

17

Pages from-to

15-31

UT code for WoS article

000425573600002

EID of the result in the Scopus database

2-s2.0-85020479679