Results 1 to 10 of about 819 (199)
Derivations of MV-Algebras [PDF]
International 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
Tsallis Entropy of Product MV-Algebra Dynamical Systems [PDF]
Entropy, 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
On The Spectrum of Countable MV-algebras [PDF]
Transactions 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 +2 more sources
On t-derivations of PMS-algebras [version 1; peer review: 2 approved] [PDF]
F1000ResearchBackground 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
On Quantum-MV algebras - Part II: Orthomodular Lattices, Softlattices and Widelattices [PDF]
Transactions 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]
Neutrosophic 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
Almost uniformly convergence on MV-algebra of intuitionistic fuzzy sets [PDF]
Notes 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
Tense like equality algebras [PDF]
Categories and General Algebraic Structures with Applications, 2020 In this paper, first we define the notion of involutive operator on bounded involutive equality algebras and by using it, we introduce a new class of equality algebras that we called it a tense like equality algebra.
Mohammad Ali Hashemi, Rajabali Borzooei
doaj +1 more source
f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS [PDF]
Journal of Algebraic Systems, 2013 Recently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples.
L. Kamali Ardakani, Bijan Davvaz
doaj +1 more source
Journal of Hyperstructures, 2023 In this paper, we introduce the notion of hyper JK-algebras and investigate these algebras properties. Moreover, we present relationships between hyper JK-algebras and pseudo hyper BCK-algebras and hyper pseudo MV-algebras under some conditions.
Mohammad Ali Hashemi
doaj +1 more source