Interval valued Q-Fuzzy multiparameterized soft set and its application

Molodtsov's soft set theory is a newly emerging mathematical tool for handling uncertainty. however,classical multiparameterized soft sets are not appropriate for imprecise and q-fuzzy parameters. this work aims to extend the classical multiparameterized soft sets to interval-valued q-fuzzy multiparameterized soft (ivqfmp -soft) sets by giving an importance degree for each element in the multiparameterized sets. the equality,subset,complement,union,intersection,^ and ∨-product operations are defined for the ivqfmp-soft sets. finally,the proposed ivqfmp-soft set is applied to a decision- making problem,and its effectiveness is demonstrated through a numerical example.