Fuzzy soft matrices on fuzzy soft multiset and its applications in optimization problems

There has been an increase in the use of mathematical techniques involving extensions of fuzzy sets, of soft sets, and other structures of uncertain knowledge for dealing with multi-criteria decision making under vague or approximate information. Hybrid models have also proliferated because their applicability has been consistently tested by applied scholars. In this paper, we introduce the concept of fuzzy soft matrix on a fuzzy soft multiset and apply it to a decision making problem. An algorithm to choose the ideal alternative is given along with an example, for obtaining the optimal solution. A case study with a comparative analysis shows its feasibility and implementability in decision making systems. An experimental study with adjustable fuzzy inputs, done for a group decision making process, validates the proposal.