Algorithm 1: Distance-based parameter reduction algorithm of interval-value neutrosophic soft sets

Input: (F, E) (interval-valued neutrosophic soft set), E (parameter set), and threshold λ Output: (E − A) (an optimal choice considered parameter reduction in IVNS-SOFT). BEGIN 1. $\mathrm{Compute}\mathrm{the}\mathrm{weighted}\mathrm{matrix}{U=(u}_{ij}{)}_{m\times n}$, for 1 ≤ i ≤ n,1 ≤ j ≤ m. 2. Let j = 1. 3. $\mathbf{For}=1\mathrm{to}{(u}_{ij})$, perform the following. 4. Calculate distances for all pairs of j parameters. j = 1, 2, …, m. 5. Obtain the distance matrix D = (dkl)m×m, for 1 ≤ k ≤ m,1 ≤ l ≤ m. 6. If the distance between parameters k and l is less than the threshold λ, then perform the following. 7. Consider parameters k and l to be similar, keep one parameter and place another set A of the reduction parameters. 8. Obtain the new interval-valued neutrosophic soft set $(E-A$) after parameter reduction. 9. Return $(E-A$). END