A New Decision Making Method on Interval Valued Fuzzy Soft Matrix (IVFSM)

Interval valued fuzzy soft set and IVFSM are those mathematical tools which deal with problems involving uncertainties and imprecise or incomplete data. IVFSM may be useful for functions whose membership values vary. In this paper, we study basic definitions of IVFSM with some properties and prove commutative laws, associative laws and De-Morgan laws by using And-Operation and Or-Operation on IVFSM. We propose a new decision making method on IVFSM named as “interval valued fuzzy soft max-min decision making method” (IVFSMmDM) with the help of interval valued fuzzy soft max-min decision making function. Finally, we apply IVFSMmDM method for decision making to solve those problems which involving uncertainties by using data from [19].