Parametric Classes of T-norms
Many families of related t-norms can be defined by an explicit formula depending on a parameter p. This section lists the best known parameterized families of t-norms. The following definitions will be used in the list:
- A family of t-norms Tp parameterized by p is increasing if Tp(x, y) ≤ Tq(x, y) for all x, y in whenever p ≤ q (similarly for decreasing and strictly increasing or decreasing).
- A family of t-norms Tp is continuous with respect to the parameter p if
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- for all values p0 of the parameter.
Read more about this topic: Construction Of T-norms
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