“…The manager needs to know which suppliers should be selected and how much of the quantity Y ij should be ordered considering the objectives. However, as to the supplier selection problem, it is hard to describe the cost and demand as known values because there is not sufficient data available to analyze, which usually cause uncertainty, imprecise or vague situation (Xu & Yan, 2011;Jauhar, Pant & Abraham, 2014;Khatie, Bulgak & Segovia, 2010;Lee, Kang, Hsu & Hung, 2009;Ordoobadi, 2009;Qiang, Hui & Xiao-Dong, 2013;Tako & Robinson, 2012;Alinezad, Seif & Esfandiari, 2013;Baskaran, Nachiappan & Rahman, 2012). Considering this situation, we use fuzzy variable to describe uncertain, imprecise or ambiguous information in the (SSSS) problem.…”