Reduction of DEA-Performance Factors Using Rough Set Theory: An Application of Companies in the Iranian Stock Exchange

Advances in Mathematical Finance and Applications

مقاله 4، دوره 5، شماره 1، فروردین 2020، صفحه 53-67   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/amfa.2019.1868389.1223

نویسندگان

Mahnaz Mirbolouki^* ؛ Maryam Joulaei

Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran

چکیده

he financial management field has witnessed significant developments in recent
years to help decision makers, managers and investors, to made optimal decisions.
In this regard, the institutions investment strategies and their evaluation methods
continuously change with the rapid transfer of information and access to the fi-
nancial data. When information is available as several inputs and output factors,
the data envelopment analysis (DEA) applies to calculate the efficiency of com-
panies. Distinguishing efficient companies from inefficient ones, makes it possi-
ble for the financial managers to select suitable portfolios. The discriminating
power of DEA depends on the number of companies under evaluation and the
number of inputs and outputs. When the number of inputs and outputs are high
compared to the number of units, most of the units will be evaluated as efficient,
thus the discriminating power of DEA decreases and the results are not reliable.
To deal with this problem, the Quick-Reduct algorithm of the rough set theory
(RST) was used in this study to reduce inputs or outputs. It should be noted that
the advantage of this algorithm is its ability to use negative data.

کلیدواژه‌ها

Portfolio؛ Data envelopment analysis؛ Rough Set Theory؛ Quick-reduct algorithm؛ Efficiency

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