Fuzzy Shortest Path Problem Based on Level 𝜆-Triangular LR Fuzzy Numbers

Table 3

Results of the network based on level 𝜆-triangular LR distance index.

Paths	𝐻𝐷(𝐿min,𝐿𝑖)	𝐸𝐷(𝐿min,𝐿𝑖)	𝑑(𝐿min,𝐿𝑖)	Ranking
	𝑤=1	𝑤=2	𝑤=3
𝑃1: 1-2-4-6	43	25.5	21.82	3
𝑃2: 1-2-5-6	15	9	7.78	2
𝑃3: 1-3-5-6	7	7	7	1

Path 𝑃₃, that is 1-3-5-6, is the fuzzy shortest path since it has the minimum level 𝜆-triangular LR distance index.