other Mathematical Modeling and Applications of OR Mathematical Modeling and Applications of OR پژوهشی Original <em>In this paper, two non-linear technologies are proposed based on weak disposability definitions:</em> <em>weak disposability with non-uniform abatement factors and new weak disposability. Both technologies are applied to Spanish airport systems and the existing technologies are modified. </em><em>To remove the computational complexity of non-linear approaches, </em><em>the linearization methods are proposed. </em><em>Then, in order to evaluate the efficiency measure of decision making units (DMUs),</em> <em>a directional distance function (DDF) is applied to the linear technologies and the analysis of the results is presented.</em> Data envelopment analysis (DEA), Efficiency, Network DEA, Undesirable outputs, Weak disposability. 1 24 http://iors.ir/journal/browse.php?a_code=A-10-1422-16&slc_lang=other&sid=1 Fateme Seihani Parashkouh Fateme ُSeihani Parashkouh fseihani@yahoo.com 1111111111 1111111111 No Lahijan Branch, Islamic Azad University Lahijan Branch, Islamic Azad University Sohrab Kordrostami Sohrab Kordrostami sohrabkordrostami@gmail.com 1111111111 1111111111 Yes Lahijan Branch, Islamic Azad University Lahijan Branch, Islamic Azad University Alireza Amirteimoori Alireza Amirteimoori aamirteimoori@gmail.com 1111111111 1111111111 No Lahijan Branch, Islamic Azad University Lahijan Branch, Islamic Azad University Armin Ghane-Kanafi Armin Ghane-Kanafi aghanekanafi@gmail.com 1111111111 1111111111 No Lahijan Branch, Islamic Azad University, Lahijan Lahijan Branch, Islamic Azad University, Lahijan