Results 1 to 10 of about 27,684 (76)

Tsallis Entropy of Product MV-Algebra Dynamical Systems [PDF]

open access: yesEntropy, 2018
This paper is concerned with the mathematical modelling of Tsallis entropy in product MV-algebra dynamical systems. We define the Tsallis entropy of order α , where α ∈ ( 0 , 1 ) ∪ ( 1 , ∞ ) , of a partition in ...
Dagmar Markechová, Beloslav Riečan
doaj   +2 more sources

Rényi Entropy and Rényi Divergence in Product MV-Algebras [PDF]

open access: yesEntropy, 2018
This article deals with new concepts in a product MV-algebra, namely, with the concepts of Rényi entropy and Rényi divergence. We define the Rényi entropy of order q of a partition in a product MV-algebra and its conditional version ...
Dagmar Markechová, Beloslav Riečan
doaj   +2 more sources

Logical Divergence, Logical Entropy, and Logical Mutual Information in Product MV-Algebras [PDF]

open access: yesEntropy, 2018
In the paper we propose, using the logical entropy function, a new kind of entropy in product MV-algebras, namely the logical entropy and its conditional version.
Dagmar Markechová   +2 more
doaj   +2 more sources

Fuzzy n-fold obstinate ideals in mv -algebras [PDF]

open access: yesJournal of Hyperstructures, 2019
. In this paper, we introduce the notion of n-fold Boolean ideals of an MV -algebra and consider the quotient algebras induced by n-fold Boolean ideals. Also we prove that I is a n-fold Boolean ideal of an MV -algebra if and only if A/I is a n+1-bounded ...
Fereshteh Forouzesh
doaj   +1 more source

New Kind of MV-Modules

open access: yesInternational Journal of Computational Intelligence Systems, 2020
In this paper, by considering the notion of MV-modules, which is the structure that naturally correspond to lu-modules over lu-rings, we investigate some properties of a new kind of MV-modules, that we introduced in Borzooei and Saidi Goraghani, Free MV ...
S. Saidi Goraghani   +3 more
doaj   +1 more source

Pavelka-style completeness in expansions of \L ukasiewicz logic [PDF]

open access: yes, 2008
An algebraic setting for the validity of Pavelka style completeness for some natural expansions of \L ukasiewicz logic by new connectives and rational constants is given.
Freytes, Hector
core   +1 more source

Logical entropy of dynamical systems in product MV-algebras and general scheme

open access: yesAdvances in Difference Equations, 2019
The present paper is aimed at studying the entropy of dynamical systems in product MV-algebras. First, by using the concept of logical entropy of a partition in a product MV-algebra introduced and studied by Markechová et al.
Dagmar Markechová, Beloslav Riečan
doaj   +1 more source

On the equivalence between MV-algebras and $l$-groups with strong unit [PDF]

open access: yes, 2014
In "A new proof of the completeness of the Lukasiewicz axioms"} (Transactions of the American Mathematical Society, 88) C.C. Chang proved that any totally ordered $MV$-algebra $A$ was isomorphic to the segment $A \cong \Gamma(A^*, u)$ of a totally ...
Dubuc, Eduardo J., Poveda, Yuri A.
core   +3 more sources

MV-algebras freely generated by finite Kleene algebras [PDF]

open access: yes, 2013
If V and W are varieties of algebras such that any V-algebra A has a reduct U(A) in W, there is a forgetful functor U: V->W that acts by A |-> U(A) on objects, and identically on homomorphisms.
Aguzzoli, Stefano   +2 more
core   +1 more source

Rigorous steps towards holography in asymptotically flat spacetimes [PDF]

open access: yes, 2005
Scalar QFT on the boundary $\Im^+$ at null infinity of a general asymptotically flat 4D spacetime is constructed using the algebraic approach based on Weyl algebra associated to a BMS-invariant symplectic form. The constructed theory is invariant under a
Bourbaki N.   +14 more
core   +2 more sources

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