Table 2: (a) Composition of binary relations in the -direction for the hybrid model (composed relations of {WN} and {WN,H}). (b) Composition of binary relations in the -direction for the hybrid model (composed relations of {H} and {WN,H}). (c) Composition of binary relations in the -direction for the hybrid model (composed relations of {S} and {WN,H}). (d) Composition of binary relations in the -direction for the hybrid model (composed relations of {WN,H,S} and {WS}).
(a)

Composed relations of  {WN} and {WN,H}WN c,b H(c,b)
NTPPy(c,WN(b))TPPy(c,WN(b))
 ECy(c,H(b))
TPPy(c,H(b))
 ECy(c,WN(b))
TPPy(c,H(b))
 ECy(c,WS(b))
NTPPy(c,H(b))EQy(c,H(b))

NTPPy(b,WN(a))NTPPy(c,WN(a))NTPPy(c,WN(a))NTPPy(c,WN(a))NTPPy(c,WN(a))NTPPy(c,WN(a))NTPPy(c,WN(c))
WN TPPy(b,WN(a))
 ECy(b,H(a))
NTPPy(c,WN(a))NTPPy(c,WN(a))NTPPy(c,WN(a))TPPy(c,WN(a))
 ECy(c,H(a))
NTPPy(c,WN(a))TPPy(c,WN(a))
 ECy(c,H(a))
WN(b,a)NTPPy(c,WN(a))WN(c,a)

Note: the data in bold are results of the composition of relations.
(b)

Composed relations of  {H} and {WN,H}WN(c,b)H(c,b)
NTPPy(c,WN(b))TPPy(c,WN(b))
 ECy(c,H(b))
TPPy(c,H(b))
 ECy(c,WN(b))
TPPy(c,H(b))
 ECy(c,WS(b))
NTPPy(c,H(b))EQy(c,H(b))

H(b,a)TPPy(b,H(a))
 ECy(b,WN(a))
NTPPy(c,WN(a))TPPy(c,WN(a))
 ECy(c,H(a))
TPPy(c,H(a))
 ECy(c,WN(a))
NTPPy(c,H(a))NTPPy(c,H(a))TPPy(c,H(a))
 ECy(c,WN(a))
TPPy(b,H(a))
 ECy(b,WS(a))
NTPPy(c,H(a))
TPPy(c,H(a))
 ECy(c,WN(a))
TPPy(c,WN(a))
 ECy(c,H(a))
NTPPy(c,WN(a))
POy(c,WN(a))
 POy(c,H(a))
 DCy(c,WS(a))
NTPPy(c,H(a))
PPy(c,H(a))
 ECy(c,WN(a))
POy(c,WN(a))
 POy(c,H(a))
 DCy(c,WS(a))
NTPPy(c,H(a))TPPy(c,H(a))
 ECy(c,WN(a))
NTPPy(c,H(a))TPPy(c,H(a))
 ECy(c,WN(a))
NTPPy(b,H(a)) NTPPy(c,H(a))
TPPy(c,H(a))
 ECy(c,WN(a))
TPPy(c,WN(a))
 ECy(c,H(a))
NTPPy(c,WN(a))
POy(c,WN(a))
 POy(c,H(a))
 DCy(c,WS(a))
NTPPy(c,H(a))
TPPy(c,H(a))
 ECy(c,WN(a))
POy(c,WN(a))
 POy(c,H(a))
 DCy(c,WS(a))
NTPPy(c,H(a))NTPPy(c,H(a))NTPPy(c,H(a))NTPPy(c,H(a))
EQy(b,H(a))NTPPy(c,WN(a))TPPy(c,WN(a))
 ECy(c,H(a))
TPPy(c,H(a))
 ECy(c,WN(a))
TPPy(c,H(a))
 ECy(c,WS(a))
NTPPy(c,H(a))EQy(c,H(a))
H(b,a)WN(c,a) H(c,a)H(c,a)

Note: the data in bold are the results of the composition of relations.
(c)

Composed relations of  {S} and {WN,H}WN(c,b)H(c,b)
NTPPy(c,WN(b))TPPy(c,WN(b))
 ECy(c,H(b))
TPPy(c,H(b))
 ECy(c,WN(b))
TPPy(c,H(b))
 ECy(c,WS(b))
NTPPy(c,H(b))EQy(c,H(b))

S(b,a)NTPPy(b,WS( ))U-13 relations NTPPy(c,WS(a))
TPPy(c,WS(a))
 ECy(c,H(a))
POy(c,WS(a))
 POy(c,H(a))
 DCy(c,WN(a))
POy(c,WS(a))
 POy(c,H(a))
 ECy(c,WN(a))
POy(c,WS(a))
 POy(c,WN(a))
 NTPPiy(c,H(a))
NTPPy(c,WS(a))NTPPy(c,WS(a))NTPPy(c,WS(a))NTPPy(c,WS(a))
TPPy(b,WS(a))
 ECy(b,H(a))
NTPPy(c,H(a))
TPPy(c,H(a))
 ECy(c,WN(a))
TPPy(c,WN(a))
 ECy(c,H(a))
NTPPy(c,WN(a))]
POy(c,WN(a))
 POy(c,H(a))
 DCy(c,WS(a))
TPPy(c,H(a))
 ECy(c,WS(a))
EQy(c,H(a))
POy(c,WN(a))
 POy(c,H(a))
 ECy(c,WS(a))
TPPy(c,WS(a))
 ECy(c,H(a))
NTPPy(c,WS(a))NTPPy(c,WS(a))TPPy(c,WS(a))
 ECy(c,H(a))
S(b,a)WN(c,a)  H(c,a)  WS(c,a)WS(c,a)

Note: the data in bold are the results of the composition of relations.
(d)

Composed relations of  {WN,H,S} and {WS}WS(c,b)

WN(b,a)NTPPy(b,WN(a))NTPPy(c,WS(b))TPPy(c,WS(b))  ECy(c,H(b))
TPPy(b,WN(a))  ECy(b,H(a))U-13 relations NTPPy(c,WN(a))
TPPy(c,WN(a))  ECy(c,H(a))
POy(c,WN(a))  POy(c,H(a))  DCy(c,WS(a))
POy(c,WN(a))  POy(c,H(a))  ECy(c,WS(a))
POy(c,WN(a))  POy(c,WS(a))  NTPPiy(c,H(a))
WN(b,a) WN(c,a)  H(c,a)  WS(c,a)

H(b,a)TPPy(b,H(a))  ECy(b,WN(a))TPPy(c,H(a))  ECy(c,WN(a)) NTPPy(c,H(a))
TPPy(c,H(a))  ECy(c,WS(a))
TPPy(c,WS(a))  ECy(c,H(a))
NTPPy(c,WS(a))
POy(c,WS(a))  POy(c,H(a))  DCy(c,WN(a))
TPPy(b,H(a))  ECy(b,WS(a))TPPy(c,H(a))  ECy(c,WN(a))NTPPy(c,WS(a))
NTPPy(b,H(a)) NTPPy(c,H(a))] 
TPPy(c,H(a))  ECy(c,WS(a))
TPPy(c,WS(a))  ECy(c,H(a))
NTPPy(c,WS(a))
POy(c,WS(a))  POy(c,H(a))  DCy(c,WN(a))
NTPPy(c,H(a))
TPPy(c,H(a))  ECy(c,WS(a))
POy(c,WS(a))  POy(c,H(a))  DCy(c,WN(a))
EQy(b,H(a))NTPPy(c,WS(a))TPPy(c,WS(a))  ECy(c,H(a))
H(b,a)H(c,a)  WS(c,a)

S(b,a)NTPPy(b,WS(a))NTPPy(c,WS(a))NTPPy(c,WS(a))
TPPy(b,WS(a))  ECy(b,H(a))NTPPy(c,WS(a))NTPPy(c,WS(a))
S(b,a) NTPPy(c,WS(a))

Note: the data in bold are the results of the composition of relations.