Bridging Computational Verbs and Fuzzy Membership Functions Using Computational Verb Collapses

Each noun in natural languages can have attributevalues, which are in general adjectives, and action values, whichare in general verbs. In the computational verb theory, acomputational verb collapse can transform an action value into anattribute value while computational verb extension principles cantransform an attribute value into action values. The transformationsbetween attribute values and action values connect fuzzymembership functions to and from computational verb evolvingfunctions. They also set up the relationship between fuzzy logicoperations and operations to evolving functions of computationalverbs. They help to recover dynamics from the ORing, ANDingand trimmed fuzzy sets. The connections of fuzzy rules andinferences to computational verb rules and inferences are studiedbased on these transformations. The precise results based onbell-shaped membership functions are presented together withillustrative examples shown in figures.