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

Table 6

Results of the network based on acceptability index.

Paths	𝐴(𝐿min<𝐿𝑖)	𝐴(𝐿min<𝐿𝑖)	Ranking
	𝜆=0.7	𝜆=1
𝑃1: 1-2-4-6	0.59	0.85	3
𝑃2: 1-2-5-6	0.16	0.22	2
𝑃3: 1-3-5-6	0	0	1

Path 𝑃₃, that is 1-3-5-6, is the fuzzy shortest path since it has the minimum acceptability index, and the corresponding shortest path length is 𝐿₃.