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

F1000Research
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, Yohannes Gedamu Wondifraw, Berhanu Assaye Alaba, Nibret Melese Kassahun   +3 more
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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

‎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   +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
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On ideal theory of hoops [PDF]

Mathematica Bohemica, 2020
In this paper, we define and characterize the notions of (implicative, maximal, prime) ideals in hoops. Then we investigate the relation between them and prove that every maximal implicative ideal of a $\vee$-hoop with double negation property is a prime
Mona Aaly Kologani, Rajab Ali Borzooei
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Hyper JK-algebras [PDF]

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