“…here, the sum applies to all stations located on the shortest route 𝑀𝑀 𝑖𝑖𝑖𝑖 between stations i and j, and is calculated as a sum of fuzzy numbers. A sum of two (L-R) fuzzy intervals 𝑀𝑀 = (𝑚𝑚, 𝑚𝑚, 𝛼𝛼, 𝛽𝛽) 𝐿𝐿𝐿𝐿 and 𝑁𝑁 = (𝑛𝑛, 𝑛𝑛, 𝛾𝛾, 𝛿𝛿) 𝐿𝐿𝐿𝐿 is of the following form [1,3,4,5]: 𝑀𝑀 + 𝑁𝑁 = (𝑚𝑚 + 𝑛𝑛, 𝑚𝑚 + 𝑛𝑛, 𝛼𝛼 + 𝛾𝛾, 𝛽𝛽 + 𝛿𝛿) 𝐿𝐿𝐿𝐿 . Given this, savings 𝑇𝑇 𝑖𝑖𝑖𝑖 associated with the movement of one wagon, without processing, when the OD pair (𝑖𝑖, 𝑗𝑗) is branched off, also constitute an (L-R) fuzzy interval.…”