Therefore, the problem of estimating n needs to be modeled by the 'dynamic state system' and consequent 'measurement equation' first.
Next, a Petrov-Galerkin approach with shape and weighting functions matching all differentiability and continuity requirements of the weak formulation is applied to solve the consequent partial differential equation.
Each rule's antecedent contains IT2 fuzzy sets and the consequent is a differential equation of a linear dynamical system.
It should be noted that the same consequent class as in Equations 2 and 3 is obtained when we use the support of the fuzzy rule A q ⇒ Class h instead of the confidence degree.
However, as IST is progressively reduced, the retarding effect of the consequent length contraction (reduction in l'; Equation 1) counters and eventually overcomes the effect of IST reduction, so that perceived velocity diminishes.
Ca2+ elevations lasted for 1.5 sec, the [cAMP] and kf,Raf elevations for 1 min. To model activation of synaptic and nuclear kinases by these stimuli and consequent increases in GPROD and W, the equations of [33] were used with one modification.
With equal weights' contribution, the relationship between these behaviors and the produced output, PersistenceCompetency, is described by the following fuzzy if-then Sugeno first order rule (The output or consequent part is a nonfuzzy first order linear equation) (Jang and Sun 1995): Rule R i : if (DecisionMaker is IniClusteri) and (ProblemSolver is In2Clusteri) and (Leader is In3Clusteri).
The nonlinear systems can be well approximated by IT2 T S fuzzy model, in which the fuzzy rules' antecedents are interval type-2 fuzzy sets and consequents are linear state equations.
Therefore, by getting Equation 14, we complete the estimation the consequent part of fuzzy rules.
This inference mechanism performs efficiently with a limited number of rules, otherwise the Sugeno algorithm [ 52] is a more suitable choice as the consequent part of the rules is presented by an equation as opposed to fuzzy sets.
