A. Sala et P. Albertos, FUZZY-SYSTEMS EVALUATION - THE INFERENCE ERROR APPROACH, IEEE transactions on systems, man and cybernetics. Part B. Cybernetics, 28(2), 1998, pp. 268-275
An inference method based on an equation image of a rule-base and the
minimization of a cost index (inference Error) is presented, The metho
d has several advantages: it has intuitive insight, allows more powerf
ul rules, and also presents an interesting algebraic (minimum distance
) and functional (subsethood) formulation of the meaning of inference,
Analysis of internal quality end completeness of a fuzzy rulebase and
validity checks of inference methods can be expressed as numeric inde
xes. This is applied to logical verification of common structures wide
ly used in PID fuzzy controllers.