mathematical logic, monoidal t-norm based logic (or shortly MTL), the logic of left-continuous t-norms, is one of the t-norm fuzzy logics. It belongs to...
23 KB (3,718 words) - 12:14, 18 October 2024
logics) are usually included in the class as well. Important examples of t-norm fuzzy logics are monoidal t-norm logic (MTL) of all left-continuous t-norms...
22 KB (3,222 words) - 21:08, 3 April 2023
perform transformations on mathematical models Monoidal t-norm logic, the logic of left-continuous t-norms Japan Median Tectonic Line, Japan's largest seismic...
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Involution (mathematics) (section Mathematical logic)
logics that have involutive negation are Kleene and Bochvar three-valued logics, Łukasiewicz many-valued logic, the fuzzy logic 'involutive monoidal t-norm...
17 KB (2,240 words) - 19:45, 9 June 2025
multi-valued logic, specifically in fuzzy logic. A t-norm generalizes intersection in a lattice and conjunction in logic. The name triangular norm refers to...
18 KB (2,671 words) - 11:26, 23 March 2025
fuzzy logics are: Monoidal t-norm-based propositional fuzzy logic MTL is an axiomatization of logic where conjunction is defined by a left continuous t-norm...
54 KB (6,598 words) - 23:30, 23 June 2025
infinite-valued Łukasiewicz logic can also be axiomatized by adding the following axioms to the axiomatic system of monoidal t-norm logic: Divisibility ( A ∧...
16 KB (2,455 words) - 00:47, 8 April 2025
Fuzzy mathematics (category Fuzzy logic)
fuzzy graphs. Fuzzy measure theory Fuzzy subalgebra Monoidal t-norm logic Possibility theory T-norm Zadeh, L. A. (1965) "Fuzzy sets", Information and Control...
7 KB (932 words) - 11:59, 15 May 2024
most generally understood as the internal product of a monoidal category. That is, the monoidal category captures precisely the meaning of a tensor product;...
16 KB (2,519 words) - 20:38, 28 May 2025
Metric space (redirect from Norm induced metric)
as the tensor product and 0 as the identity makes this category into a monoidal category R ∗ {\displaystyle R^{*}} . Every (extended pseudoquasi-)metric...
82 KB (11,434 words) - 17:46, 21 May 2025
Cartesian category with its finite products is an example of a symmetric monoidal category. For any objects X , Y , and Z {\displaystyle X,Y,{\text{ and...
14 KB (2,401 words) - 21:09, 27 March 2025
equivalence classes of morphisms in BordM. A TQFT on M is a symmetric monoidal functor from hBordM to the category of vector spaces. Note that cobordisms...
27 KB (3,764 words) - 15:49, 21 May 2025
valid under the spin–statistics theorem for the particle exchange to be monoidal (non-abelian statistics). In particular, this can be achieved when the...
44 KB (5,316 words) - 16:46, 23 June 2025