1. PS and JS1 $$pro_{PS}^1 = PhD = 23,\, pro_{JS1}^1 = ME = 18,pro_{PS}^4 = pro_{JS1}^4 = collector = e^2,act_{PS}^2 = act_{JS1}^2 = publications = 2$$ $$W_{PS} = 8.0972,\;W_{JS1} = 6.8472$$ $$W_{PS} > W_{JS1}$$ Hierarchical relation
2. PS and JS2 $$pro_{PS}^1 = PhD = 23,\, pro_{JS2}^1 = ME = 18,pro_{PS}^4 = pro_{JS2}^4 = collector = e^2,act_{PS}^2 = act_{JS2}^2 = publications = 2$$ $$W_{PS} = 8.0972,$$ $$W_{JS2} = 6.8472$$ $$W_{PS} > W_{JS2}$$ Hierarchical relation
3. JS1 and JS2 $$pro_{JS1}^1 = pro_{JS2}^1 = ME = 18,pro_{JS1}^4 = pro_{JS2}^4 = collector = e^2,act_{JS1}^2 = act_{JS2}^2 = publications = 2$$ $$W_{JS1} = 6.8472,$$ $$W_{JS2} = 6.8472$$ $$W_{JS1} = W_{JS2}$$Equivalence relation
4. JSand PA1 $$pro_{JS1}^1 = ME = 18, \,pro_{PA1}^1 = BE = 16,pro_{JS1}^3 = pro_{PA1}^3 = conference = 0.8632$$ $$W_{JS1} = 4.7158,$$ $$W_{PA1} = 4.2158$$ $$W_{JS1} > W_{PA1}$$ Hierarchical relation
5. JSand PA2 $$pro_{JS2}^1 = ME = 18,\, pro_{PA2}^1 = BE = 16,pro_{JS2}^4 = pro_{PA2}^4 = collector = e^2,act_{JS2}^2 = act_{PA2}^2 = publications = 2$$ $$W_{JS2} = 6.4097$$, $$W_{PA2} = 6.3472$$ $$W_{JS2} > W_{PA2}$$ Hierarchical relation