<?xml version="1.0" encoding="utf-8"?>
<journal>
<title>International Journal of Applied Operational Research</title>
<title_fa>ژورنال بین المللی پژوهش عملیاتی</title_fa>
<short_title>International Journal of Applied Operational Research - An Open Access Journal</short_title>
<subject>Basic Sciences</subject>
<web_url>http://ijorlu.lahijan.iau.ir</web_url>
<journal_hbi_system_id>1</journal_hbi_system_id>
<journal_hbi_system_user>admin</journal_hbi_system_user>
<journal_id_issn>2251-6867</journal_id_issn>
<journal_id_issn_online>2251-9432</journal_id_issn_online>
<journal_id_pii>8</journal_id_pii>
<journal_id_doi>7</journal_id_doi>
<journal_id_iranmedex></journal_id_iranmedex>
<journal_id_magiran></journal_id_magiran>
<journal_id_sid>14</journal_id_sid>
<journal_id_nlai>8888</journal_id_nlai>
<journal_id_science>13</journal_id_science>
<language>en</language>
<pubdate>
	<type>jalali</type>
	<year>1395</year>
	<month>10</month>
	<day>1</day>
</pubdate>
<pubdate>
	<type>gregorian</type>
	<year>2017</year>
	<month>1</month>
	<day>1</day>
</pubdate>
<volume>7</volume>
<number>1</number>
<publish_type>online</publish_type>
<publish_edition>1</publish_edition>
<article_type>fulltext</article_type>
<articleset>
	<article>


	<language>en</language>
	<article_id_doi></article_id_doi>
	<title_fa></title_fa>
	<title>Scale Efficient Targets in Production Systems With Two-stage Structure Under Imprecise Data Assumption</title>
	<subject_fa>عمومى</subject_fa>
	<subject>General</subject>
	<content_type_fa>پژوهشي</content_type_fa>
	<content_type>Research</content_type>
	<abstract_fa></abstract_fa>
	<abstract>Traditional data envelopment analysis (DEA) models evaluate two-stage decision making unit (DMU) as a black box and neglect the connectivity may exist among the stages. This paper looks inside the system by considering the intermediate activities between the stages where the first stage uses inputs to produce outputs which are the inputs to the second stage along with its own inputs. Additionally, some of the inputs and outputs values may not be completely available because of uncertainty. Data can be interval e.g. when the missing values are replaced by intervals in which the unknown values are likely to belong. We introduce models to optimize two-stage DMU with interval data. Numerical example is applied to clarify the models.</abstract>
	<keyword_fa></keyword_fa>
	<keyword>Data envelopment analysis (DEA), Network DEA, Interval data, Most productive scale size (MPSS), Scale efficient target</keyword>
	<start_page>1</start_page>
	<end_page>22</end_page>
	<web_url>http://ijorlu.lahijan.iau.ir/browse.php?a_code=A-10-431-1&amp;slc_lang=en&amp;sid=1</web_url>


<author_list>
	<author>
	<first_name>F.</first_name>
	<middle_name></middle_name>
	<last_name>Koushki</last_name>
	<suffix></suffix>
	<first_name_fa></first_name_fa>
	<middle_name_fa></middle_name_fa>
	<last_name_fa></last_name_fa>
	<suffix_fa></suffix_fa>
	<email>fkoushki@gmail.com</email>
	<code>1003194753284600862</code>
	<orcid>1003194753284600862</orcid>
	<coreauthor>Yes
</coreauthor>
	<affiliation>Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran</affiliation>
	<affiliation_fa></affiliation_fa>
	 </author>


</author_list>


	</article>
</articleset>
</journal>
