FIVEVagConcl: Calculate the conclusion from the observation and the rulebase [Y]=FIVEVagConcl(U,VE,R,X,P) Where: U: is the universe (a vector of discrete values in increasing order), VE: is the generated vague environment (the scaled distances on the universe U) If VE(k,1)=0, it is the primitive integral of the scaling function according to the elements of U If VE(k,1)=-1, it is the integral of the scaling function between the neighboring elements of U R: is the Rulebase X: is the observation P: is the power factor in the Shepard interpolation formula: wi=1./dist(i).^p optional, if not given, by default it is equal to the antecedent dimensions of the rulebase R In case of U,VE,X, the rows are the dimensions y: is the conclusion Rulebase: R1: a1 a2 a3 ... am -> b [a1 a2 a3 ... am b;... R2: a1 a2 a3 ... am -> b a1 a2 a3 ... am b;... R3: a1 a2 a3 ... am -> b a1 a2 a3 ... am b;... ... ... Rn: a1 a2 a3 ... am -> b a1 a2 a3 ... am b]

- FIVERuleDist FIVERuleDist: Calculate the distances of the observation from the rule antecedents
- FIVEVagDist FIVEVagDist: Calculate the scaled distance of two points in the vague environment
- FIVEValVag FIVEValVag: Value of a vague point VP

- FIVE FIVE: Fuzzy Inference by Interpolation in Vague Environment

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