Criterial Based Opinion Leader’s Selection for Decision-Making Using Ant Colony Optimization

Table 3

Possible paths by ants.

Opinion leaders	Selected opinion leaders	Ants	Pheromone (value) on selected edges	Paths selection probability node/∑ (value) connected edges	Path selection probability of an ant (from starting node to last node) ∑ P (pheromone on edge)	Probability of pheromone P (pheromone on selected edges)/∑ P (pheromones on all edges)
O1, O2, O3, O4, O5, O6, O7, O8, O9, O10	O2, O4, O6, O8, O10	1	5, 3, 7, 6, 4	0.83, 0.6, 0.78, 0.75, 0.8	3.76	0.15
	O1, O4, O5, O8, O9	2	1, 2, 2, 4, 1	0.17, 0.4, 0.22, 0.5, 0.2	1.56	0.06
	O2, O3, O5, O8, O9	3	5, 2, 3, 4, 1	0.83, 0.4, 0.75, 0.57, 0.2	2.75	0.11
	O1, O3, O6, O7, O10	4	1, 3, 1, 2, 4	0.17, 0.6, 0.25, 0.25, 0.57	1.84	0.08
	O2, O3, O6, O8, O9	5	5, 2, 1, 6, 1	0.83, 0.4, 0.25, 0.75, 0.2	2.43	0.10
	O2, O3, O6, O7, O9	6	5, 2, 1, 2, 3	0.83, 0.4, 0.25, 0.25, 0.43	2.16	0.09
	O1, O4, O6, O8, O10	7	1, 2, 7, 6, 4	0.17, 0.4, 0.78, 0.75, 0.8	2.9	0.12
	O1, O3, O5, O7, O9	8	1, 3, 3, 3, 3	0.17, 0.6, 0.75, 0.43, 0.43	2.38	0.10
	O1, O4, O5, O7, O9	9	1, 2, 2, 3, 3	0.17, 0.4, 0.22, 0.43, 0.43	1.65	0.07
	O2, O3, O6, O8, O10	10	5, 2, 1, 6, 4	0.83, 0.4, 0.25, 0.75, 0.8	3.03	0.12
					∑ = 24.46