Results 31 to 40 of about 114 (93)

Exponentials of general multivector in 3D Clifford algebras

open access: yesNonlinear Analysis, 2022
Closed form expressions to calculate the exponential of a general multivector (MV) in Clifford geometric algebras (GAs) Clp;q are presented for n = p + q = 3.
Adolfas Dargys, Artūras Acus
doaj   +1 more source

Relationship Between Hyper MV -algebras and Hyperlattices

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2016
Sh. Ghorbani, et al. [9], generalized the concept of MV -algebras and defined the notion of hyper MV -algebras. Now, in this paper, we try to prove that any hyper MV -algebra is a hyperlattice. First we prove that any hyper MV -algebra that satisfies the
Borzooei R. A.   +2 more
doaj   +1 more source

An Independent Set of Axioms of MV-Algebras and Solutions of the Set-Theoretical Yang–Baxter Equation

open access: yesAxioms, 2017
The aim of this paper is to give a new equivalent set of axioms for MV-algebras, and to show that the axioms are independent. In addition to this, we handle Yang–Baxter equation problem.
Tahsin Oner   +2 more
doaj   +1 more source

Rough Operations and Uncertainty Measures on MV-Algebras

open access: yesJournal of Applied Mathematics, 2014
We define a lower approximate operation and an upper approximate operation based on a partition on MV-algebras and discuss their properties. We then introduce a belief measure and a plausibility measure on MV-algebras and investigate the relationship ...
Maosen Xie
doaj   +1 more source

On Solutions to the Set-Theoretical Yang-Baxter Equation in Wajsberg-Algebras

open access: yesAxioms, 2018
In this work, we introduce Wajsberg algebras which are equivalent structures to MV-algebras in their implicational version, and then we define new notions and give new solutions to the set-theoretical Yang-Baxter equation by using Wajsberg algebras.
Tahsin Oner, Tugce Katican
doaj   +1 more source

Filters of strong Sheffer stroke non-associative MV-algebras

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, at first we study strong Sheffer stroke NMV-algebra. For getting more results and some classification, the notions of filters and subalgebras are introduced and studied.
Oner Tahsin   +3 more
doaj   +1 more source

Tsallis Entropy in MV-Algebras

open access: yesMathematics
We deal with Tsallis entropy in MV-algebraic dynamical systems. We prove that Tsallis entropy is a submeasure and that it is invariant under isomorphisms.
Giuseppina Gerarda Barbieri   +1 more
doaj   +1 more source

The connection of hyper lattice implication algebras and related hyper algebras [PDF]

open access: yesJournal of Hyperstructures, 2016
In this paper, we de ne the concepts of (good) con- gruences and strong congruences on hyper lattice implication alge- bras and use them to construct quotient hyper lattice implication algebras.
Shokoofeh Ghorbani
doaj   +1 more source

Conditional Measures on MV-algebras

open access: yesAdvances in Electrical and Electronic Engineering, 2004
In recent years many papers have been written generalizing some theorems, known from the Kolmogorovian probability theory, to MV-algebras. To achieve such results, so-called product MV-algebras were introduced and, using the product, the joint ...
Martin Kalina, Olga Nanasiova
doaj  

Classification of Hyper MV -algebras of Order 3

open access: yesRatio Mathematica, 2013
In this paper, we investigated the number of hyper MV -algebras of order 3. In fact, we prove that there are 33 hyper MV -algebras of order 3, up to isomorphism.
R.A. Borzooei, A. Radfar
doaj  

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