Abstract
The compositional rule of inference as a generalization of the classical modus ponenes in the framework of approximate reasoning is discussed. Rules, observations, as well as conclusions are modeled by fuzzy sets, and the conjunction by triangular norms. The relationship with the special fuzzy quantities and their calculus is shown. In particular, the compositional rule of inference based on the limit triangular norms T ? and {tiT D }, as well as on continuous Archimedean triangular norms is investigated, including the case of linear inputs and outputs. Several examples are given.
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