Vague soft R-subgroups and vague soft quotient near rings

The purpose of the present paper is to throw light on the study of vague soft R-subgroup over near-ring R. We have defined vague soft R-subgroup over a near-ring. By using quotient near-ring we have defined vague soft quotient near-ring. Also, we have investigated operations of vague soft R-subgroup over a near-ring and vague soft quotient near-ring.

Keywords:

Vague Set , Soft set , Soft R-subgroup , Vague Soft Set , Vague soft R-subgroup , Vague soft quotient near-ring