(fuzzy logic) A mathematical function T: [0, 1] × [0, 1] → [0, 1] that is commutative, associative, monotonic, and the number 1 acts as identity element, that is T(a, 1) = a.

plural of Euclidean norm

plural of t-norm

plural of two-norm

(number theory) A p-adic absolute value, for a given prime number p, the function, denoted |..|ₚ and defined on the rational numbers, such that |0|ₚ = 0 and, for x≠0, |x|ₚ = p^(-ordₚ(x)), where ordₚ(x) is the p-adic ordinal of x; the same function, extended to the p-adic numbers ℚₚ (the completion of the rational numbers with respect to the p-adic ultrametric defined by said absolute value); the same function, further extended to some extension of ℚₚ (for example, its algebraic closure).

(mathematics) A vector space which is additionally equipped with a norm.

plural of normed vector space

plural of p-adic norm

(fuzzy logic) Any kind of fuzzy logic whose semantics valuates conjunctions by means of t-norms.