Possibilistic expert systems and process control utilizing...

G - Physics – 06 – N

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G06N 7/02 (2006.01) G06F 7/00 (2006.01)

Patent

CA 2376248

An explicit assumption of continuity is used to generate a fuzzy implication operator, which yields an envelope of possibility for the conclusion. A single fuzzy rule A?B entails an infinite set of possible hypothese A'?B' whose degree of consistency with the original rule is a function of the "distance" between A and A' and the "distance" between B and B'. This distance may be measured geometrically or by set union/intersection. As the distance between A and A' increases, the possibility distribution B* spreads further outside B somewhat like a bell curve, corresponding to common sense reasoning about a continous process. The manner in which this spreading occurs is controlled by parameters encoding assumptions about (a) the maximum possible rate of change of B' with respect to A'(b) the degree of conservatism or speculativeness desired for the reasoning process (c) the degree to which the process is continuous or chaotic.

On utilise une hypothèse explicite de continuité pour générer un opérateur d'implication flou qui fournit une enveloppe de possibilités pour la conclusion. Une règle floue unique A?B entraîne une série infinie d'hypothèses possibles A'?B' dont le degré de cohérence par rapport à la règle originale est une fonction de la "distance" entre A et A' et de la "distance" entre B et B'. On peut mesurer cette distance de façon géométrique ou par un ensemble union/intersection. A mesure qu'augmente la distance entre A et A', la distribution de possibilité B* s'étale à l'extérieur de B un peu comme une courbe en cloche, correspondant à un raisonnement de bon sens sur un procédé continu. La manière dont se produit cet étalement est régulée par des paramètres codant des hypothèses sur (a) le taux de variation possible maximal de B' par rapport à A'; (b) le degré de conservatisme ou de spéculation voulu pour le processus de raisonnement; (c) le degré auquel le processus est continu ou chaotique.

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