In this note, to overcome the limitation of Wei’s method (Int J Fuzzy Syst 17(3):484–489, 2015), a modified linear programming model is proposed for finding the optimal weight vector of the attributes.
Bhardwaj and Kumar (J. Optim. Theory Appl. 163(2), 685-696 (2014)) pointed out that Khan et al. (J. Optim. Theory Appl. 159(2), 536-546 (2013)) have assumed some mathematical incorrect assumptions in their proposed method for solving fully fuzzy linear programming problems (FFLPPs). However, Khan et al. (J. Optim. Theory Appl. 173(1), 353-356 (2017)) replied that their proposed method is valid and no mathematical incorrect assumptions have been considered. The aim of this commentary is to make the researchers aware that Khan et al. (J. Optim. Theory Appl. 173(1), 353-356 (2017)) are misleading the others. In actual case, Khan et al. (J. Optim. Theory Appl. 159(2), 536-546 (2013)) have considered mathematical incorrect assumptions in their proposed method due to which some of the elements of the optimal simplex table, obtained by Khan et al. (J. Optim. Theory Appl. 159(2), 536-546 (2013)), are not triangular fuzzy numbers.
Yue (Computers & Industrial Engineering 102 (2016) 233-245) proposed a geometric approach for solving IVIFMAGDM (interval-valued intuitionistic fuzzy multiattribute group decision making) problems and used it to solve a real-life supplier selection problem. In future, the other researchers may use the same approach to solve other real-life IVIFMAGDM problems. However, after a deep study, it is observed that this approach fails to rank the alternatives. Therefore, the aim of this note is to make the researchers aware that it is scientifically incorrect to use this approach for solving real-life IVIFMAGDM problems.