Applications on Bipolar Vague Soft Sets

The purpose of this research is to interpolate bipolarity into the definition vague soft set. This gives a new more applicable, flexible, and generalized extension set, fuzzy or even which bipolar In addition, types sets, as well some related concepts operations are established with examples. Moreover, properties sets including absorption, commutative, associative, distributive, De Morgan’s laws discussed in detail. Furthermore, set-designed decision-making algorithm provided generalizing Roy Maji method. allows making effective decisions choose optimal alternative. Finally, an applied problem introduced comparative analysis illustrate how proposed works successfully than previous models for problems that contain uncertain ambiguous data.