Integration of fuzzy analytic hierarchy process and multi-objective fuzzy goal programming for selection problems: An application on roadheader selection

Selection of coal transportation mode from the open pit mine to the thermic power plant using Fuzzy Analytic Hierarchy Process

“…In addition, it should be noted that mid-values do not have to be the arithmetic mean of lower and upper bounds. These values are in-between lower and upper bounds (Mizrak Ozfirat et al 2015):…”

“…Finally, in the decision phase, the weighted sum of ratings belonging to each alternative are calculated where the weights are the ones from FGP model. (Mizrak Ozfirat et al 2015;Yetkin et al 2016). The detailed step-by-step approach is given below.…”

“…Similarly, let K represent the transportation modes matrix made up of k alternative transportation modes from K 1 to K k as in Eq. (2) (Mizrak Ozfirat et al 2015).…”

“…(3). Saaty's (1980) scale of 9 is used to determine the values of l ij , m ij and u ij (Mizrak Ozfirat et al 2015). (5) and (6), respectively.…”

“…Therefore, we should maximize the minima of membership functions as in Eq. (8) (Mizrak Ozfirat et al 2015):…”