Fuzzy logic

Construction of t-norms

In mathematics, t-norms are a special kind of binary operations on the real unit interval [0, 1]. Various constructions of t-norms, either by explicit definition or by transformation from previously known functions, provide a plenitude of examples and classes of t-norms. This is important, e.g., for finding counter-examples or supplying t-norms with particular properties for use in engineering applications of fuzzy logic. The main ways of construction of t-norms include using generators, defining parametric classes of t-norms, rotations, or ordinal sums of t-norms. Relevant background can be found in the article on t-norms. (Wikipedia).

Construction of t-norms
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Related pages

Journal of Applied Non-Classical Logics | Inverse function | Fixed point (mathematics) | Zero divisor | Ordinal sum | Fuzzy logic | T-norm fuzzy logics | Involution (mathematics) | Fuzzy Sets and Systems | T-norm