Results 11 to 20 of about 3,003,652 (178)

Weakly Divisible MV-Algebras and Product [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 1999
The authors prove that any weakly divisible \(\sigma\)-complete (and hence divisible) MV-algebra \(M\) is isomorphic, as an MV-algebra, with the set of all continuous fuzzy subsets defined on the set of maximal ideals of \(M\). They use this to define on \(M\) an associative, commutative product with \(1\) as the identity.
Dvurečenskij, Anatolij   +1 more
openaire   +3 more sources

Exact Discrete Stochastic Simulation With Deep-Learning-Scale Gradient Optimization. [PDF]

open access: yesAdv Sci (Weinh)
A 203,796‐parameter gene regulatory network classifies handwritten digits with 98.4% accuracy using exact stochastic dynamics. The framework decouples forward simulation from backward differentiation, making continuous‐time Markov chain models compatible with deep‐learning optimization.
Vilar JMG, Saiz L.
europepmc   +2 more sources

An efficient deep learning model for brain tumour detection with privacy preservation

open access: yesCAAI Transactions on Intelligence Technology, EarlyView., 2023
Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman   +8 more
wiley   +1 more source

Direct product decompositions of pseudo $MV$-algebras [PDF]

open access: yes, 2000
summary:In this paper we deal with the relations between the direct product decompositions of a pseudo $MV$-algebra and the direct product decomposicitons of its underlying ...
Jakubík, Ján   +3 more
core   +1 more source

Convex chains in a pseudo MV-algebra [PDF]

open access: yes, 2003
summary:For a pseudo $MV$-algebra $\mathcal A$ we denote by $\ell (\mathcal A)$ the underlying lattice of $\mathcal A$. In the present paper we investigate the algebraic properties of maximal convex chains in $\ell (\mathcal A)$ containing the element ...
Jakubík, Ján
core   +1 more source

MV-algebras embedded in a CL-algebra [PDF]

open access: yes, 1998
It is observed that a CL-algebra (Classical Linear Algebra) contains within it a number of MV-algebras (Many-valued Algebras). A necessary and sufficient condition is obtained when a CL-algebra as a whole reduces to an MV-algebra.
Sen, Jayanta, Chakraborty, M.K.
core   +1 more source

Almost uniformly convergence on MV-algebra of intuitionistic fuzzy sets [PDF]

open access: yes, 2023
The aim of this contribution is to formulate some definitions of almost uniformly convergence for a sequence of observables in the MV-algebra of the intuitionistic fuzzy sets.
Katarína Čunderlíková
core   +2 more sources

Representation of an MV-algebra by its triangular norms [PDF]

open access: yes, 1998
Any given complete and atomic Boolean algebra can be embedded into a dense MV-algebra in such a way that the Boolean algebra formed by the idempotent elements of the MV-algebra is isomorphic to the given Boolean algebra.
Ray, Suryansu, Sessa, Salvatore
core   +2 more sources

Direct product decomposition of $MV$-algebras [PDF]

open access: yesCzechoslovak Mathematical Journal, 1994
To each MV-algebra \({\mathcal A}= (A; \oplus, *, \neg, 0,1)\) we can assign a lattice \(L({\mathcal A})= (A; \wedge, \vee)\) by defining, for all \(x,y\in A\), \(x\wedge y= \neg (\neg x\vee \neg y)\) and \(x\vee y= (x* \neg y)\oplus y\). If \({\mathcal A}_ 1\) and \({\mathcal A}_ 2\) are MV-algebras such that the lattices \(L({\mathcal A}_ 1)\) and ...
openaire   +1 more source

Subdirect product decompositions of MV-algebras [PDF]

open access: yesCzechoslovak Mathematical Journal, 1999
As is known, every \(MV\)-algebra \(A\) can be represented by means of an abelian lattice ordered group \(G\) with a strong order unit \(u\). The author shows that the lattices of congruences of \(A\) and \(G\) are isomorphic and uses this fact to describe the connections between subdirect product decompositions of \(A\) and of \(G\).
openaire   +1 more source

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