Bipolar fuzzy metric spaces with application

The concept of a bipolar metric space is presented in this article. In fuzzy space, the notions continuous t-norms and symmetry $$t_s$$ -conorms employs important role. Requirements triangular norms are used to extrapolate with probability density function triangle inequality. Dual processes known as conorms. Continuous define paper. Besides, number topological functional properties have been studied. Afterwards, Baire Category Uniform Convergence Theorems for spaces presented. After that, an application on determining appropriate type vaccine treatment process COVID-19 given using similarity measure between spaces. For selection supply chain management, advanced multi-attribute decision-making (MADM) algorithm being developed. Finally, validity proposed MADM method selecting best proper form also established.