Results 31 to 40 of about 1,668 (199)

Study of MV-algebras via derivations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
The main goal of this paper is to give some representations of MV-algebras in terms of derivations. In this paper, we investigate some properties of implicative and difference derivations and give their characterizations in MV-algebras.
Wang Jun Tao, She Yan Hong, Qian Ting
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On Quantum-MV Algebras - Part I: The Orthomodular Algebras

Scientific Annals of Computer Science, 2021
We prove that almost all the properties of quantum-MV algebras are verified by orthomodular algebras, the new algebras introduced in a previous paper. We put a special insight on transitive antisymmetric orthomodular (taOM) algebras, generalizations of ...
Afrodita Iorgulescu
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Subdirectly Irreducible MV-Algebras [PDF]

Czechoslovak Mathematical Journal, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On complete $MV$-algebras [PDF]

Czechoslovak Mathematical Journal, 1995
An element \(x\) of an \(MV\)-algebra (also called a Wajsberg algebra) is called an \(\alpha\)-atom if the interval \([0,x ]\) is a chain of cardinality \(\alpha\). The algebra \(A\) is said to be \(\alpha\)-atomic if for every \(y\in A\setminus \{0\}\) there is an \(\alpha\)-atoms \(x\) such that \(x\leq y\).
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Logical entropy of dynamical systems in product MV-algebras and general scheme

Advances 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
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Some Examples of BL-Algebras Using Commutative Rings

Mathematics, 2022
BL-algebras are algebraic structures corresponding to Hajek’s basic fuzzy logic. The aim of this paper is to analyze the structure of BL-algebras using commutative rings. Due to computational considerations, we are interested in the finite case.
Cristina Flaut, Dana Piciu
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Some results on pseudo MV-algebras with n-roots

Ratio Mathematica
The paper provides a study of pseudo MV-algebras with $n$-roots. We outline their main properties and establish that the class of MV-algebras with $n$-roots forms a variety.
Chen Xinrong, Hongxing Liu
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Semitopological BL-Algebras and MV -Algebras

Demonstratio Mathematica, 2014
In this paper, by considering the notion of upsets, for any element x of a BL-algebra L, we construct a topology Tx on L and show that L-algebras with this topology formes a semitopological BL-algebras.
Zahiri O., Borzooei R. A.
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Martingale Convergence Theorem for the Conditional Intuitionistic Fuzzy Probability

Mathematics, 2020
For the first time, the concept of conditional probability on intuitionistic fuzzy sets was introduced by K. Lendelová. She defined the conditional intuitionistic fuzzy probability using a separating intuitionistic fuzzy probability.
Katarína Čunderlíková
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On the geometric theory of local MV-algebras

, 2016
We investigate the geometric theory of local MV-algebras and its quotients axiomatizing the local MV-algebras in a given proper variety of MV-algebras. We show that, whilst the theory of local MV-algebras is not of presheaf type, each of these quotients ...
Caramello, Olivia, Russo, Anna Carla
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