A new approach on triangulation of triangular fuzzy random variable

Abstract

The fuzzy random variable (\textit{FRV}) concepts have been applied in the vague or unclear boundary and imprecision by using $(\alpha-{\text{cut})}$ membership grade. The triangular $(\mu,\sigma )$concept in fuzzy random variable (\textit{FRV}) is known as triangular fuzzy random variable (\textit{TFRV}) with parameter $(\mu,\sigma )$\textit, which is symmetric about$\mu $\textit, which is used to determine the acceptance area with respect to the significant value ($\alpha $). If the triangular \textit{FRV} concept is applied in triangulation, then we can find the acceptance region of all triangles of triangulation simultaneously for desired ($\alpha {-cut}$) significant values in vague situation. This article expose the successive iteration of triangulation which ends until the standard deviation of each triangle is tending to null. The above triangulation iterations are verified through few suitable examples.