Research Article

Admission Control for Multiservices Traffic in Hierarchical Mobile IPv6 Networks by Using Fuzzy Inference System

Table 2

The operation methods of the FIS.

OperationMethodMathematical formula

IntersectionStandard intersection 𝑡 ( 𝑝 , 𝑞 ) = m i n ( 𝑝 , 𝑞 )
UnionStandard union 𝑠 ( 𝑝 , 𝑞 ) = m a x ( 𝑝 , 𝑞 )
ImplicationMamdani product implication 𝐵 ( 𝑦 ) = m a x 𝑚 𝑙 = 1 [ m a x 𝑥 𝑋 ( 𝐴 ( 𝑥 ) 𝐴 𝑙 1 ( 𝑥 1 ) 𝐴 𝑙 2 ( 𝑥 2 ) 𝐵 ( 𝑦 ) ) ]
AggregationMax
DefuzzificationCenter of gravity defuzzification 𝑦 = 𝑘 𝑖 = 1 𝑦 𝑖 𝐵 ( 𝑦 𝑖 ) 𝑘 𝑖 = 1 𝐵 ( 𝑦 𝑖 )