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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

Derivations of MV-Algebras [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
We introduce the notion of derivation for an MV-algebra and discuss some related properties. Using the notion of an isotone derivation, we give some characterizations of a derivation of an MV-algebra.
N. O. Alshehri
doaj   +3 more sources

Turing machines based on unsharp quantum logic [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2012
In this paper, we consider Turing machines based on unsharp quantum logic. For a lattice-ordered quantum multiple-valued (MV) algebra E, we introduce E-valued non-deterministic Turing machines (ENTMs) and E-valued deterministic Turing machines (EDTMs ...
Yun Shang, Xian Lu, Ruqian Lu
doaj   +4 more sources

On t-derivations of PMS-algebras [version 1; peer review: 2 approved] [PDF]

open access: yesF1000Research
Background PMS algebras are a type of algebraic structure that has been studied extensively in recent years. They are a generalization of several other algebraic structures, such as Boolean algebras and MV-algebras.
Zelalem Teshome Wale   +3 more
doaj   +2 more sources

Inverse topology in MV-algebras [PDF]

open access: yesMathematica Bohemica, 2019
We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra $A$ and show that the set of all minimal prime ideals of $A$, namely ${\rm Min}(A)$, with the inverse topology is a compact space, Hausdorff, $T_0$-space and $T_1 ...
Fereshteh Forouzesh   +2 more
doaj   +3 more sources

Graphical Reprezentation of Atomic D-posets [PDF]

open access: yesAdvances in Electrical and Electronic Engineering, 2004
In the present paper is shown a construction of D-posets using of the method of the MV-algebra pasting and their graphical representation by Haase and Greechie diagrams.
Ferdinand Chovanec, Eva Drobna
doaj   +4 more sources

On Quantum-MV algebras - Part II: Orthomodular Lattices, Softlattices and Widelattices [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2022
‎Orthomodular lattices generalize the Boolean algebras; they have arisen‎ ‎in the study of quantum logic‎. ‎Quantum-MV algebras were introduced‎ ‎as non-lattice theoretic generalizations of MV algebras and as non-idempotent generalizations of ...
Afrodita Iorgulescu
doaj   +1 more source

Neutrosophic N −structures on strong Sheffer stroke non-associative MV-algebras [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
The aim of the study is to examine a neutrosophic N −subalgebra, a neutrosophic N −filter, level sets of these neutrosophic N −structures and their properties on a strong Sheffer stroke non-associative MV-algebra.
Tahsin Oner, Tugce Katican, Akbar Rezaei
doaj   +1 more source

‎On The Spectrum of Countable MV-algebras [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2023
‎In this paper we consider MV-algebras and their prime spectrum‎. ‎We show that there is an uncountable MV-algebra that has the same spectrum as the free MV-algebra over one element‎, ‎that is‎, ‎the MV-algebra $Free_1$ of McNaughton functions from $[0,1]
Giacomo Lenzi
doaj   +1 more source

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

open access: yesNotes on IFS, 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
doaj   +1 more source

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