other Mathematical Modeling and Applications of OR Mathematical Modeling and Applications of OR پژوهشی Original <span style="font-size:11pt"><span style="line-height:normal"><span style="text-autospace:none"><span style="font-family:&quot;Times New Roman&quot;,serif"><i><span style="font-size:10.0pt"><span style="color:black"><span style="letter-spacing:-.25pt">Nowadays, the capability of cloud management suppliers is one of the important advantages for suppliers that can improve the performance and flexibility and reduce costs in companies through easy access to resources. Also, the environmental impacts of suppliers are a significant issue in today&rsquo;s industrialization and globalization world. This paper analyzes these subjects by </span></span></span></i><i><span lang="EN-CA" style="font-size:10.0pt"><span style="color:black">fuzzy multi-objective scenario-based stochastic model</span></span></i><i><span style="font-size:10.0pt"><span style="color:black"><span style="letter-spacing:-.25pt">. Its objective functions are minimizing the total cost, environmental impacts of suppliers, and maximizing the capability of cloud management of suppliers. </span></span></span></i><i><span style="font-size:10.0pt">Non-Dominated Sorting Genetic Algorithm-</span></i><i><span style="font-size:10.0pt"><span style="color:black"><span style="letter-spacing:-.25pt"> II</span></span></span></i><i><span style="font-size:10.0pt"> (</span></i><i><span style="font-size:10.0pt"><span style="color:black"><span style="letter-spacing:-.25pt">NSGA-II</span></span></span></i><i><span style="font-size:10.0pt">) </span></i><i><span style="font-size:10.0pt"><span style="color:black"><span style="letter-spacing:-.25pt">and </span></span></span></i><i><span style="font-size:10.0pt"><span style="color:black">Multi-objective Simulated </span></span></i><i><span style="font-size:10.0pt"><span style="color:black">Annealing</span></span></i><i><span style="font-size:10.0pt"><span style="background:white"><span style="color:black"> meta-heuristic&nbsp;</span></span></span></i><i><span style="font-size:10.0pt"><span style="color:black">(MOSA) </span></span></i><i><span style="font-size:10.0pt"><span style="color:black"><span style="letter-spacing:-.25pt">are developed to settle this problem. Five computational experiments analyze the performance of the solution algorithms. The results illustrate that the NSGA-II algorithm provides better solutions than the MOSA algorithm for the presented model.</span></span></span></i></span></span></span></span><br> &nbsp; : Cloud management, Multi-objective evolutionary algorithms, Quota allocation, Supply chain management, Supplier selection. 54 72 http://iors.ir/journal/browse.php?a_code=A-10-1422-45&slc_lang=other&sid=1 farnaz javadigargari farnaz javadigargari F.javadigargari@gmail.com 1111111111 1111111111 No alzahra university alzahra university Hossein amoozadkhalili Hossein amoozadkhalili amoozad92@yahoo.com 1111111111 1111111111 Yes islamic azad university nowshahr branch islamic azad university nowshahr branch Reza Tavakkoli-Mogaddam Reza Tavakkoli-Mogaddam tavakoli@ut.ac.ir 1111111111 1111111111 No university of tehran university of tehran