Results 1 to 10 of about 364 (127)

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   +7 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   +5 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   +5 more sources

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

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   +3 more sources

Kullback–Leibler Divergence and Mutual Information of Partitions in Product MV Algebras [PDF]

open access: yesEntropy, 2017
The purpose of the paper is to introduce, using the known results concerning the entropy in product MV algebras, the concepts of mutual information and Kullback–Leibler divergence for the case of product MV algebras and examine algebraic properties of ...
Dagmar Markechová, Beloslav Riečan
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

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

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

Boolean Products of MV-Algebras: Hypernormal MV-Algebras

open access: yesJournal of Mathematical Analysis and Applications, 1996
Introduced by C. C. Chang in the late fifties as the Lindenbaum algebras of the infinite-valued calculus of Lukasiewicz, MV-algebras have been attracting renewed interest in the last decade, because they form an equational class being naturally equivalent to the category of lattice-ordered abelian groups with strong unit. As a consequence, countable MV-
Cignoli, R., Torrell, A.T.
openaire   +3 more sources

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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