<?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>1402</year>
	<month>3</month>
	<day>1</day>
</pubdate>
<pubdate>
	<type>gregorian</type>
	<year>2023</year>
	<month>6</month>
	<day>1</day>
</pubdate>
<volume>11</volume>
<number>3</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>Fuzzy free replicability model with restricted variation</title>
	<subject_fa>تخصصي</subject_fa>
	<subject>Special</subject>
	<content_type_fa>پژوهشي</content_type_fa>
	<content_type>Research</content_type>
	<abstract_fa></abstract_fa>
	<abstract>&lt;span style=&quot;font-size:11.0pt&quot;&gt;&lt;span style=&quot;line-height:115%&quot;&gt;&lt;span new=&quot;&quot; roman=&quot;&quot; style=&quot;font-family:&quot; times=&quot;&quot;&gt;In conventional data envelopment analysis (DEA) models, inputs, and outputs are usually considered as precise and continuous factors. Furthermore, inputs and outputs of inefficient decision-making units (DMUs) change arbitrarily for meeting the efficient frontier. Nevertheless, there are situations in the real world where the performance of DMUs with fuzzy and integer-valued measures must be evaluated while input and output variables are restricted by the decision-maker. Therefore, the current paper proposes a DEA-based method for assessing the relative efficiency of DMUs with imprecise and integer-valued factors when restricted variations are observed. To illustrate, the free replicability (FR) model is extended for incorporating fuzzy numbers and some visible limitations like restrictions on resources. Furthermore, the method is developed for situations where flexible measures are presented. A numerical example is used to illustrate the approach.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;</abstract>
	<keyword_fa></keyword_fa>
	<keyword>DEA, Fuzzy, Integer Value, Flexible Measure, Restricted Variation.</keyword>
	<start_page>21</start_page>
	<end_page>30</end_page>
	<web_url>http://ijorlu.lahijan.iau.ir/browse.php?a_code=A-10-421-3&amp;slc_lang=en&amp;sid=1</web_url>


<author_list>
	<author>
	<first_name>M.</first_name>
	<middle_name></middle_name>
	<last_name>Jahani Sayyad Noveiri</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>Monirehjahani@yahoo.com</email>
	<code>10031947532846001721</code>
	<orcid>10031947532846001721</orcid>
	<coreauthor>Yes
</coreauthor>
	<affiliation>Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran</affiliation>
	<affiliation_fa></affiliation_fa>
	 </author>


	<author>
	<first_name>B.</first_name>
	<middle_name></middle_name>
	<last_name>Ahmadi</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>b.ahmadi.math@gmail.com</email>
	<code>10031947532846001722</code>
	<orcid>10031947532846001722</orcid>
	<coreauthor>No</coreauthor>
	<affiliation>Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran</affiliation>
	<affiliation_fa></affiliation_fa>
	 </author>


</author_list>


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