2Department of Mathematics, GC University, Lahore, 54000, Pakistan
3Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan
Abstract
The aim of this paper is to obtain optimum fuzzy soft constants through multi-criteria de-cision-making approaches. TOPSIS and VIKOR are utilized for this purpose and results are compared with those obtained through Bonferroni mean. The hesitant fuzzy soft set is taken as initial data in decision-making methods. Hesitant fuzzy Bonferroni means and distance measures for TOPSIS and VIKOR are calculated in the structure of hesitant fuzzy set and hesitant fuzzy soft set. OFSCs are chosen from the constants which rank the alternatives in the decision-making process. By using the system of linear differential equations based on OFSCs, the future approach of people with respect to their decisions is analyzed and is ob-served through phase portrait and a line graph of that system of differential equations. To explain the proposed idea, explanative examples for two techniques are also given. These ex-amples illustrate that if two persons select the two different alternatives, they do not favor each other after that decision.